Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c)

Practicing the Intermediate 2nd Year Maths 2A Textbook Solutions Inter 2nd Year Maths 2A Quadratic Expressions Solutions Exercise 3(c) will help students to clear their doubts quickly.

Intermediate 2nd Year Maths 2A Quadratic Expressions Solutions Exercise 3(c)

I.

Question 1.
Solve the following inequations by the algebraic method.
(i) 15x2 + 4x – 4 ≤ 0
Solution:
15x2 + 4x – 4 ≤ 0
⇒ 15x2 – 6x + 10x – 4 ≤ 0
⇒ 3x(5x – 2) + 2(5x – 2) ≤ 0
⇒ (3x + 2) (5x – 2) ≤ 0
Co-efficient of x2 = 15 > 0,
Given Expression is ≤ 0
⇒ x lies between \(\frac{-2}{3}\) and \(\frac{2}{5}\)
i.e., \(\frac{-2}{3} \leq x \leq \frac{2}{5}\)

(ii) x2 – 2x + 1 < 0
Solution:
x2 – 2x + 1 < 0
⇒ (x – 1)2 < 0
There is no real value of ‘x’ satisfying this inequality
Solution set = Φ (or) Solution does not exist.

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c)

(iii) 2 – 3x – 2x2 ≥ 0
Solution:
-(2x2 + 3x – 2) ≥ 0
⇒ -(2x2 + 4x – x – 2) ≥ 0
⇒ -[2x(x + 2) – 1(x + 2)] ≥ 0
⇒ -(2x – 1) (x + 2) ≥ 0
Co-efficient of x2 = -2 < 0,
The given expression is ≥ 0
⇒ x lies between -2 and \(\frac{1}{2}\)
i.e., -2 ≤ x ≤ \(\frac{1}{2}\)

(iv) x2 – 4x – 21 ≥ 0
Solution:
x2 – 4x – 21 ≥ 0
⇒ x2 – 7x + 3x – 21 ≥ 0
⇒ x(x – 7) + 3(x – 7) ≥ 0
⇒ (x + 3) (x – 7) ≥ 0
Co-efficient of x2 = 1 > 0,
The given expression is ≥ 0
x does not lie between -3 and 7
i.e., {x/x ∈ (-∞, -3] ∪ [7, ∞)}

II.

Question 1.
Solve the following inequations by graphical method.
(i) x2 – 7x + 6 > 0
Solution:
f(x) = x2 – 7x + 6
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c) II Q1(i)
f(x) > 0 ⇒ y > 0
Solutions are given by x < 1 and x > 6

(ii) 4 – x2 > 0
Solution:
Let f(x) = 4 – x2
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c) II Q1(ii)
f(x) > 0 ⇒ y > 0
Solution set = {x/-2 < x < 2}

(iii) 15x2 + 4x – 4 < 0
Solution:
Let f(x) = 15x2 + 4x – 4
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c) II Q1(iii)
f(x) ≤ 0 ⇒ y ≤ 0
Solution set = \(\left\{x / \frac{-2}{3} \leq x \leq \frac{2}{5}\right\}\)

(iv) x2 – 4x – 21 ≥ 0
Solution:
Let f(x) = x2 – 4x – 21
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c) II Q1(iv)
f(x) ≥ 0 ⇒ y ≥ 0
Solution set = {x/x ∈ (-∞, -3] ∪ [7, ∞)}

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(c)

Question 2.
Solve the following inequations.
(i) \(\sqrt{3 x-8}\) < -2
Solution:
L.H.S. is positive and R.H.S. is negative.
∴ The given inequality holds for no real x.
Solution set = Φ (or) Solution does not exist.

(ii) \(\sqrt{-x^{2}+6 x-5}\) > 8 – 2x
Solution:
\(\sqrt{-x^{2}+6 x-5}\) > 8 – 2x
⇔ -x2 + 6x – 5 > 0
and (i) 8 – 2x < 0 (or) (ii) 8 – 2x ≥ 0
We have -x2 + 6x – 5 = -(x2 – 6x + 5) = -(x – 1) (x – 5)
Hence -x2 + 6x – 5 ≥ 0 ⇔ x ∈ [1, 5]
(i) -x2 + 6x – 5 ≥ 0 and 8 – 2x < 0
⇔ x ∈ [1, 5] and x > 4
⇔ x ∈ [4, 5] ………(1)
(ii) -x2 + 6x – 5 ≥ 0 and 8 – 2x ≥ 0
∵ \(\sqrt{\left(-x^{2}+6 x-5\right)}\) > 8 – 2x
⇔ -x2 + 6x – 5 > (8 – 2x)2 and 8 – 2x ≥ 0
⇔ -x2 + 6x – 5 > 64 + 4x2 – 32x and x ≤ 4
⇔ -5x2 + 38x – 69 > 0 and x ≤ 4
⇔ 5x2 – 38x + 69 < 0 and x ≤ 4
⇔ 5x2 – 15x – 23x + 69 < 0 and x ≤ 4
⇔ (5x – 23)(x – 3) < 0 and x ≤ 4
⇔ x ∈ (3, \(\frac{23}{5}\)) and x ≤ 4
⇔ x ∈ (3, \(\frac{23}{5}\)) ∩ (-∞, 4)
⇔ x ∈ (3, 4)
Hence the solution set of the given equation is x ∈ (4, 5) ∪ (3, 4)
⇒ x ∈ (3, 5) (or) 3 < x ≤ 5.

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

Practicing the Intermediate 2nd Year Maths 2A Textbook Solutions Inter 2nd Year Maths 2A Quadratic Expressions Solutions Exercise 3(b) will help students to clear their doubts quickly.

Intermediate 2nd Year Maths 2A Quadratic Expressions Solutions Exercise 3(b)

I.

Question 1.
If the quadratic equations ax2 + 2bx + c = 0 and ax2 + 2cx + b = 0, (b ≠ c) have a common root, then show that a + 4b + 4c = 0
Solution:
Let α be the common roots of the equations ax2 + 2bx + c = 0 and ax2 + 2cx + b = 0
2 + 2bα + c = 0
2 + 2cα + b = 0
on Subtracting,
2α(b – c) + c – b = 0
2α(b – c) = b – c
2α = 1 (b ≠ c)
α = \(\frac{1}{2}\)
Substitute α = \(\frac{1}{2}\) in ax2 + 2bx + c = 0 is
\(a\left(\frac{1}{4}\right)+2 b \frac{1}{2}+c=0\)
⇒ a + 4b + 4c = 0
∴ a + 4b + 4c = 0

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

Question 2.
If x2 – 6x + 5 = 0 and x2 – 12x + p = 0 have a common root, then find p.
Solution:
Given x2 – 6x + 5 = 0, x2 – 12x + p = 0 have a common root.
If α is the common root then
α2 – 6α + 5 = 0, α2 – 12α + p = 0
α2 – 6α + 5 = 0
⇒ (α – 1) (α – 5) = 0
⇒ α = 1 or 5
If α = 1 then α2 – 12α + p = 0
⇒ 1 – 12 + p = 0
⇒ p = 11
If α = 5 then α2 – 12α + p = 0
⇒ 25 – 60 + p = 0
⇒ p = 35
∴ p = 11 or 35

Question 3.
If x2 – 6x + 5 = 0 and x2 – 3ax + 35 = 0 have a common root, then find a.
Solution:
The roots of the equation x2 – 6x + 5 = 0 are
(x – 1) (x – 5) = 0
⇒ x = 1, x = 5
Case (i): x = 1 is a common root then it is also root for the equation x2 – 3ax + 35 = 0
⇒ 1 – 3a(1) + 35 = 0
⇒ a = 12
Case (ii): x = 5 is a common root then
(5)2 – 3a(5) + 35 = 0
⇒ 60 – 15a = 0
⇒ a = 4
∴ a = 12 (or) a = 4

Question 4.
If the equation x2 + ax + b = 0 and x2 + cx + d = 0 have a common root and the first equation has equal roots, then prove that 2(b + d) = ac.
Solution:
Let α be the common root.
∴ x2 + ax + b = 0 has equal roots.
Its roots are α, α
α + α = -a
⇒ α = \(-\frac{a}{2}\)
α . α = b
⇒ α2 = b
∴ α is a root of x2 + cx + d = 0
⇒ α2 + cα + d = 0
⇒ b + c(\(-\frac{a}{2}\)) + d = 0
⇒ 2(b + d) = ac

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

Question 5.
Discuss the signs of the following quadratic expressions when x is real.
(i) x2 – 5x + 4
Solution:
x2 – 5x + 4 = (x – 1) (x – 4)
a = 1 > 0
The expression x2 – 5x + 2 is positive if x < 1 or x > 4 and is negative if 1 < x < 4

(ii) x2 – x + 3
Solution:
∆ = b2 – 4ac
= (-1)2 – 4 (1) (3)
= 1 – 12
= -11 < 0
a = 1 > 0, ∆ < 0
⇒ The given expression is positive for all real x.

Question 6.
For what values of x, the following expressions are positive?
(i) x2 – 5x + 6
Solution:
x2 – 5x + 6 = (x – 2) (x – 3)
Roots of x2 – 5x + 6 = 0 are 2, 3 which are real.
The expression x2 – 5x + 6 is positive if x < 2 or x > 3
∴ a = 1 > 0

(ii) 3x2 + 4x + 4
Solution:
Here a = 3, b = 4, c = 4
∆ = b2 – 4ac
= 16 – 48
= -32 < 0
∴ 3x2 + 4x + 4 is positive ∀ x ∈ R
∴ a = 3 > 0 and ∆ < 0
ax2 + bx + c and ‘a’ have same sign ∀ x ∈ R, if ∆ < 0

(iii) 4x – 5x2 + 2
Solution:
Roots of 4x – 5x2 + 2 = 0 are \(\frac{-4 \pm \sqrt{16+40}}{-10}\)
i.e., \(\frac{2 \pm \sqrt{14}}{5}\) which is real
∴ The expression 4x – 5x2 + 2 is positive when
\(\frac{2-\sqrt{14}}{5}<x<\frac{2+\sqrt{14}}{5}\) [∵ a = -5 < 0]

(iv) x2 – 5x + 14
Solution:
Here a = 1, b = -5, c = 14
∆ = b2 – 4ac
= 25 – 56
= -31 < 0
∴ ∆ < 0 ∵ a = 1 > 0 and ∆ < 0
⇒ x2 – 5x + 14 is positive ∀ x ∈ R.

Question 7.
For what values of x, the following expressions are negative?
(i) x2 – 7x + 10
Solution:
x2 – 7x + 10 = (x – 2)(x – 5)
Roots of x2 – 7x + 10 = 0 are 2, 5 which are real.
∴ The expression x2 – 7x + 10 is negative if 2 < x < 5, ∵ a = 1 > 0

(ii) 15 + 4x – 3x2
Solution:
The roots of 15 + 4x – 3x2 = 0 are \(\frac{-4 \pm \sqrt{16+180}}{-6}\)
i.e., \(\frac{-5}{3}\), 3
∴ The expression 15 + 4x – 3x2 is negative if
-5x < \(\frac{-5}{3}\) or x > 3, ∵ a = -3 < 0

(iii) 2x2 + 5x – 3
Solution:
The roots of 2x2 + 5x – 3 = 0 are \(\frac{-5 \pm \sqrt{25+24}}{4}\)
i.e., -3, \(\frac{1}{2}\)
∴ The expression 2x2 + 5x – 3 is negative if -3 < x < \(\frac{1}{2}\), ∵ a = 2 > 0

(iv) x2 – 5x – 6
Solution:
x2 – 5x – 6 = (x – 6) (x + 1)
Roots of x2 – 5x – 6 = 0 are -1, 6 which are real.
∴ The expression x2 – 5x – 6 is negative if -1 < x < 6, ∵ a = 1 > 0

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

Question 8.
Find the changes in the sign of the following expressions and find their extreme values.
Hint: Let α, β are the roots of ax2 + bx + c = 0 and α < β
(1) If x < α or x > β, ax2 + bx + c and ‘a’ have same sign.
(2) If α < x < β, ax2 + bx + c and ‘a’ have opposite sign.

(i) x2 – 5x + 6
Solution:
x2 – 5x + 6 = (x – 2) (x – 3)
(1) If 2 < x < 3, the sign of x2 – 5x + 6 is negative, ∵ a = 1 > 0
(2) If x < 2 or x > 3, the sign of x2 – 5x + 6 is positive, ∵ a = 1 > 0
Since a > 0, the minimum value of x2 – 5x + 6 is \(\frac{4 a c-b^{2}}{4 a}\)
= \(\frac{4(1)(6)-(-5)^{2}}{4(1)}\)
= \(\frac{24-25}{4}\)
= \(-\frac{1}{4}\)
Hence the extreme value of the expression x2 – 5x + 6 is \(-\frac{1}{4}\)

(ii) 15 + 4x – 3x2
Solution:
15 + 4x – 3x2 = 15 + 9x – 5x – 3x2
= 3(5 + 3x) – x(5 + 3x)
= (3 – x) (5 + 3x)
(1) If \(-\frac{5}{3}\) < x < 3 the sign of 15 + 4x – 3x2 is positive, ∵ a = -3 < 0
(2) If x < \(-\frac{5}{3}\) or x > 3, the sign of 15 + 4x – 3x2 is negative, ∵ a = -3 < 0
Since a < 0, the maximum value of 15 + 4x – 3x2 is \(\frac{4 a c-b^{2}}{4 a}\)
= \(\frac{4(-3)(15)-16}{4(-3)}\)
= \(\frac{49}{3}\)
Hence the extreme value of the expression 15 + 4x – 3x2 is \(\frac{49}{3}\)

Question 9.
Find the maximum or minimum of the following expressions as x varies over R.
(i) x2 – x + 7
Solution:
a = 1 > 0,
minimum value = \(\frac{4 a c-b^{2}}{4 a}\)
= \(\frac{28-1}{4}\)
= \(\frac{27}{4}\)

(ii) 12x – x2 – 32
Solution:
a = -1 < 0,
maximum value = \(\frac{4 a c-b^{2}}{4 a}\)
= \(\frac{128-144}{-4}\)
= 4

(iii) 2x + 5 – 3x2
Solution:
a = -3 < 0,
maximum value = \(\frac{4 a c-b^{2}}{4 a}\)
= \(\frac{(4)(-3)(5)-(2)^{2}}{4 \times-3}\)
= \(\frac{16}{3}\)

(iv) ax2 + bx + a
Solution:
If a < 0, then maximum value = \(\frac{4 a \cdot a-b^{2}}{4 a}\) = \(\frac{4 a^{2}-b^{2}}{4 a}\)
If a > 0, then minimum value = \(\frac{4 a \cdot a-b^{2}}{4 a}\) = \(\frac{4 a^{2}-b^{2}}{4 a}\)

II.

Question 1.
Determine the range of the following expressions.
(i) \(\frac{x^{2}+x+1}{x^{2}-x+1}\)
Solution:
Let y = \(\frac{x^{2}+x+1}{x^{2}-x+1}\)
⇒ x2y – xy + y = x2 + x + 1
⇒ x2y – xy + y – x2 – x – 1 = 0
⇒ x2 (y – 1) – x(y + 1) + (y – 1) = 0
∴ x is real ⇒ b2 – 4ac ≥ 0
⇒ (y + 1 )2 – 4(y – 1 )2 ≥ 0
⇒ (y + 1)2 – (2y – 2)2 ≥ 0
⇒ (y + 1 + 2y – 2) (y + 1 – 2y + 2) ≥ 0
⇒ (3y – 1) (-y + 3) ≥ 0
⇒ -(3y – 1) (y – 3) ≥ 0
a = Coeff of y2 = -3 < 0
But The expression ≥ 0
⇒ y lies between \(\frac{1}{3}\) and 3
∴ The range of \(\frac{x^{2}+x+1}{x^{2}-x+1}\) is [\(\frac{1}{3}\), 0]

(ii) \(\frac{x+2}{2 x^{2}+3 x+6}\)
Solution:
Let y = \(\frac{x+2}{2 x^{2}+3 x+6}\)
Then 2yx2 + 3yx + 6y = x + 2
⇒ 2yx2 + (3y – 1)x + (6y – 2) = 0
∴ x is real ⇒ discriminant ≥ 0
⇒ (3y – 1)2 – 4(2y)(6y – 2) ≥ 0
⇒ 9y2 + 1 – 6y – 48y2 + 16y ≥ 0
⇒ -39y2 + 10y + 1 ≥ 0
⇒ 39y2 – 10y – 1 < 0
⇒ 39y2 – 13y + 3y – 1 < 0
⇒ 13y(3y – 1) + 1(3y – 1) ≤ 0
⇒ (3y – 1) (13y + 1) ≤ 0
∴ a = Coeff of y2 = 39 > 0 and the exp ≤ 0
⇒ y lies between \(\frac{-1}{13}\) and \(\frac{1}{3}\)
∴ Range of \(\frac{x+2}{2 x^{2}+3 x+6}\) is \(\left[-\frac{1}{13}, \frac{1}{3}\right]\)

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

(iii) \(\frac{(x-1)(x+2)}{x+3}\)
Solution:
Let y = \(\frac{(x-1)(x+2)}{x+3}\)
⇒ yx + 3y = x2 + x – 2
⇒ x2 + (1 – y)x – 3y – 2 = 0
x ∈ R ⇒ (1 – y2) – 4(-3y – 2) ≥ 0
⇒ 1 + y2 – 2y + 12y + 8 ≥ 0
⇒ y2 + 10y + 9 ≥ 0
y2 + 10y + 9 = 0
⇒ (y + 1) (y + 9) = 0
⇒ y = -1, -9
y2 + 10y + 9 ≥ 0
∴ a = Coeff of y2 = 1 > 0 and exp ≥ 0
⇒ y ≤ -9 or y ≥ -1
∴ Range = (-∞, -9] ∪ [-1, ∞)

(iv) \(\frac{2 x^{2}-6 x+5}{x^{2}-3 x+2}\)
Solution:
Let y = \(\frac{2 x^{2}-6 x+5}{x^{2}-3 x+2}\)
⇒ yx2 – 3yx + 2y = 2x2 – 6x + 5
⇒ (y – 2)x2 + (6 – 3y)x + (2y – 5) = 0
x ∈ R ⇒ (6-3y)2 – 4(y – 2) (2y – 5) ≥ 0
⇒ 36 + 9y2 – 36y – 4(2y2 – 9y + 10) ≥ 0
⇒ 36 + 9y2 – 36y – 8y2 + 36y – 40 ≥ 0
⇒ y2 – 4 ≥ 0
y2 – 4 = 0
⇒ y2 = 4
⇒ y = ±2
y2 – 4 ≥ 0
⇒ y ≤ -2 or y ≥ 2
⇒ y does not lie between -2, 2,
∵ y2 Coeff is > 0 and exp is also ≥ 0
∴ Range of \(\frac{2 x^{2}-6 x+5}{x^{2}-3 x+2}\) is (-∞, -2] ∪ [2, ∞)

Question 2.
Prove that \(\frac{1}{3 x+1}+\frac{1}{x+1}-\frac{1}{(3 x+1)(x+1)}\) does not lie between 1 and 4, if x is real.
Solution:
Let y = \(\frac{1}{3 x+1}+\frac{1}{x+1}-\frac{1}{(3 x+1)(x+1)}\)
⇒ y = \(\frac{x+1+3 x+1-1}{(3 x+1)(x+1)}\)
⇒ y = \(\frac{4 x+1}{3 x^{2}+4 x+1}\)
⇒ 3yx2 + 4yx + y = 4x + 1
⇒ 3yx2 + (4y – 4)x + (y – 1) = 0
x ∈ R ⇒ (4y – 4)2 – 4(3y)(y – 1) ≥ 0
⇒ 16y2 + 16 – 32y – 12y2 + 12y ≥ 0
⇒ 4y2 – 20y + 16 ≥ 0
4y2 – 20y + 16 = 0
⇒ y2 – 5y + 4 = 0
⇒ (y – 1)(y – 4) = 0
⇒ y = 1, 4
4y2 – 20y + 16 ≥ 0
⇒ y ≤ 1 or y ≥ 4
⇒ y does not lie between 1 and 4
Since y2 Coeff is the and exp ≥ 0.

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

Question 3.
If x is real, prove that \(\frac{x}{x^{2}-5 x+9}\) lies between 1 and \(\frac{-1}{11}\).
Solution:
Let y = \(\frac{x}{x^{2}-5 x+9}\)
⇒ yx2 + (-5y – 1)x + 9y = 0
x ∈ R ⇒ (5y – 1)2 – 4y(9y) ≥ 0
⇒ 25y2 + 1 + 10y – 36y2 ≥ 0
⇒ -11y2 + 10y + 1 ≥ 0 ……….(1)
-11y2 + 10y + 1 = 0
⇒ -11y2 + 11y – y + 1 = 0
⇒ 11y(-y + 1) + 1(-y + 1) = 0
⇒ (-y + 1) (11y + 1) = 0
⇒ y = 1, \(\frac{-1}{11}\)
-11y2 + 10y + 1 ≥ 0
∴ y2 Coeff is -ve, but the exp is ≥ 0 from (1)
⇒ \(\frac{-1}{11}\) ≤ y ≤ 1
⇒ y lies between 1 and \(\frac{-1}{11}\)

Question 4.
If the expression \(\frac{x-p}{x^{2}-3 x+2}\) takes all real value for x ∈ R, then find the bounts for p.
Solution:
Let y = \(\frac{x-p}{x^{2}-3 x+2}\), given y is real
Then yx2 – 3yx + 2y = x – p
⇒ yx2 + (-3y – 1)x + (2y + p) = 0
∵ x is real ⇒ (-3y – 1)2 – 4y(2y + p) ≥ 0
⇒ 9y2 + 6y + 1 – 8y2 – 4py ≥ 0
⇒ y2 + (6 – 4p)y + 1 ≥ 0
∵ y is real ⇒ y2 + (6 – 4p)y + 1 ≥ 0
⇒ The roots are imaginary or real and equal
⇒ ∆ ≤ 0
⇒ (6 – 4p)2 – 4 ≤ 0
⇒ 4(3 – 2p)2 – 4 ≤ 0
⇒ (3 – 2p)2 – 1 ≤ 0
⇒ 4p2 – 12p + 8 ≤ 0
⇒ p2 – 3p + 2 ≤ 0
⇒ (p – 1)(p – 2) ≤ 0
If p = 1 or p = 2 then \(\frac{x-p}{x^{2}-3 x+2}\) is not defined.
∴ 1 < p < 2

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(b)

Question 5.
If c2 ≠ ab and the roots of (c2 – ab)x2 – 2(a2 – bc)x + (b2 – ac) = 0 are equal, then show that a3 + b3 + c3 = 3abc or a = 0.
Solution:
Given equation is (c2 – ab)x2 – 2(a2 – bc)x + (b2 – ac) = 0
Discriminant = 4(a2 – bc)2 – 4(c2 – ab) (b2 – ac)
= 4[(a2 – bc)2 – (c2 – ab) (b2 – ac)]
= 4(a4 + b2c2 – 2a2bc – b2c2 + ac3 + ab3 – a2bc)
= 4(a4 + ab3 + ac3 – 3a2bc)
= 4a(a3 + b3 + c3 – 3abc)
The roots are equal ⇒ discriminant = 0
4a(a3 + b3 + c3 – 3abc) = 0
a = 0 or a3 + b3 + c3 – 3abc = 0
i.e., a = 0 or a3 + b3 + c3 = 3abc

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Practicing the Intermediate 2nd Year Maths 2A Textbook Solutions Inter 2nd Year Maths 2A Quadratic Expressions Solutions Exercise 3(a) will help students to clear their doubts quickly.

Intermediate 2nd Year Maths 2A Quadratic Expressions Solutions Exercise 3(a)

I.

Question 1.
Find the roots of the following equations.
(i) x2 – 7x + 12 = 0
Solution:
a = 1, b = -7, c = 12
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q1(i)
∴ The roots are 4, 3

(ii) -x2 + x + 2 = 0
Solution:
a = -1, b = 1, c = 2
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q1(ii)
∴ The roots are 2, -1

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

(iii) 2x2 + 3x + 2 = 0
Solution:
a = 2, b = 3, c = 2
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q1(iii)

(iv) √3x2 + 10x – 8√3 = 0
Solution:
a = √3 , b = 10, c = -8√3
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q1(iv)
∴ The roots are \(\frac{2}{\sqrt{3}}\), -4√3

(v) 6√5x2 – 9x – 3√5 = 0
Solution:
a = 6√5 , b = -9, c = -3√5
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q1(v)
∴ The roots are \(\frac{\sqrt{5}}{2},-\frac{1}{\sqrt{5}}\)

Question 2.
Form a quadratic equation whose roots are:
(i) 2, 5
Solution:
α + β = 2 + 5 = 7
αβ = 2 × 5 = 10
The required equation is x2 – (α + β)x + αβ = 0
⇒ x2 – 7x + 10 = 0

(ii) \(\frac{m}{n},-\frac{n}{m}\), (m ≠ 0, n ≠ 0)
Solution:
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q2(ii)

(iii) \(\frac{p-q}{p+q}, \frac{-p+q}{p-q}\), (p ≠ ±q)
Solution:
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q2(iii)

(iv) 7 ± 2√5
Solution:
α + β = 7 + 2√5 + 7 – 2√5 = 14
αβ = (7 + 2√5) (7 – 2√5)
= 49 – 20
= 29
The required equation is x2 – (α + β)x + αβ = 0
⇒ x2 – 14x + 29 = 0

(v) -3 ± 5i
Solution:
α + β = -3 + 5i – 3 – 5i = -6
αβ = (-3 + 5i) (-3 – 5i)
= 9 + 25
= 34
The required equation is x2 – (α + β)x + αβ = 0
⇒ x2 + 6x + 34 = 0

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Question 3.
Find the nature of the roots of the following equation, without finding the roots.
(i) 2x2 – 8x + 3 = 0
Solution:
a = 2, b = -8, c = 3
b2 – 4ac = 64 – 24 = 40 > 0
∴ The roots are real and distinct.

(ii) 9x2 – 30x + 25 = 0
Solution:
a = 9, b = -30, c = 25
b2 – 4ac = 900 – 900 = 0
∴ The roots are rational and equal.

(iii) x2 – 12x + 32 = 0
Solution:
a = 1, b = -12, c = 32
b2 – 4ac = 144 – 128
= 16
= (4)2
= perfect square
∴ The roots are rational and distinct.

(iv) 2x2 – 7x + 10 = 0
Solution:
a = 2, b = -7, c = 10
b2 – 4ac = 49 – 80 = -31 < 0
∴ The roots are complex conjugate numbers.

Question 4.
If α, β are the roots of the equation ax2 + bx + c = 0, find the values of the following expressions in terms of a, b, c.
(i) \(\frac{1}{\alpha}+\frac{1}{\beta}\)
(ii) \(\frac{1}{\alpha^{2}}+\frac{1}{\beta^{2}}\)
(iii) α4β7 + α7β4
(iv) \(\left(\frac{\alpha}{\beta}-\frac{\beta}{\alpha}\right)^{2}\), if c ≠ 0
(v) \(\frac{\alpha^{2}+\beta^{2}}{\alpha^{-2}+\beta^{-2}}\)
Solution:
α, β are the roots of the equation ax2 + bx + c = 0
α + β = \(\frac{-b}{a}\), αβ = \(\frac{c}{a}\)
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q4
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q4.1
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q4.2
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q4.3

Question 5.
Find the values of m for which the following equations have equal roots.
(i) x2 – 15 – m(2x – 8) = 0
Solution:
Given equation is x2 – 15 – m(2x – 8) = 0
⇒ x2 – 2mx + 8m – 15 = 0
a = 1, b = -2m, c = 8m – 15
b2 – 4ac = (-2m)2 – 4(1) (8m – 15)
= 4m2 – 32m + 60
= 4(m2 – 8m + 15)
= 4(m – 3) (m – 5)
If the equation ax2 + bx + c = 0 has equal roots then its discriminant is zero.
∴ The roots are equal
⇒ b2 – 4ac = 0
⇒ 4(m – 3) (m – 5) = 0
⇒ m – 3 = 0 or m – 5 = 0
⇒ m = 3 or 5

(ii) (m + 1)x2 + 2(m + 3)x + (m + 8) = 0
Solution:
Given equation is (m + 1 )x2 + 2(m + 3)x + (m + 8) = 0
a = m + 1, b = 2(m + 3), c = m + 8
b2 – 4ac = [2(m + 3)]2 – 4(m + 1) (m + 8)
= 4(m2 + 6m + 9) – 4(m2 + 8m + m + 8)
= 4m2 + 24m + 36 – 4m2 – 36m – 32
= -12m + 4
= -4(3m – 1)
∴ The roots are equal
⇒ b2 – 4ac = 0
⇒ -4(3m – 1) = 0
⇒ 3m – 1 = 0
⇒ 3m = 1
⇒ m = \(\frac{1}{3}\)

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

(iii) x2 + (m + 3)x + m + 6 = 0
Solution:
Given equation is x2 + (m + 3)x + m + 6 = 0
a = 1, b = m + 3, c = m + 6
∴ The roots are equal
⇒ b2 – 4ac = 0
⇒ (m + 3)2 – 4(1) (m + 6) = 0
⇒ m2 + 6m + 9 – 4m – 24 = 0
⇒ m2 + 2m – 15 – 0
⇒ m2 + 5m – 3m – 15 = 0
⇒ m(m + 5) – 3(m + 5) = 0
⇒ (m + 5) (m – 3) = 0
⇒ m = -5, 3

(iv) (3m + 1)x2 + 2(m + 1)x + m = 0
Solution:
Given equation is (3m + 1)x2 + 2(m + 1)x + m = 0
a = 3m + 1, b = 2(m + 1), c = m
b2 – 4ac = 4(m + 1)2 – 4m(3m + 1)
= 4[(m + 1)2 – m(3m + 1)]
= 4(m2 + 2m + 1 – 3m2 – m)
= 4(-2m2 + m + 1)
= -4(2m2 – m – 1)
= -4(m – 1) (2m + 1)
∴ The roots are equal
⇒ discriminant = 0
⇒ b2 – 4ac = 0
⇒ -4(m – 1) (2m + 1) = 0
⇒ m – 1 = 0 or 2m + 1 = 0
⇒ m = 1 or m = \(\frac{-1}{2}\)

(v) (2m + 1)x2 + 2(m + 3)x + (m + 5) = 0
Solution:
Given equation is (2m + 1)x2 + 2(m + 3)x + m + 5 = 0
a = 2m + 1, b = 2(m + 3), c = m + 5
∴ The roots are equal
⇒ b2 – 4ac = 0
⇒ 4(m + 3)2 – 4(2m + 1) (m + 5) = 0
⇒ 4(m2 + 6m + 9 – 2m2 – 10m – m – 5) = 0
⇒ -m2 – 5m + 4 = 0
⇒ m2 + 5m – 4 = 0
⇒ m = \(\frac{-5 \pm \sqrt{25+16}}{2}\)
⇒ m = \(\frac{-5 \pm \sqrt{41}}{2}\)

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Question 6.
If α and β are the roots of x2 + px + q = 0, form a quadratic equation whose roots are (α – β)2 and (α + β)2.
Solution:
∵ α, β are the roots of the equation x2 + px + q = 0
α + β = -p, αβ = q
(α – β)2 + (α + β)2 = 2(α2 + β2)
= 2[(α + β)2 – 2αβ]
= 2[p2 – 2q]
(α – β)2 (α + β)2 = [(α + β)2 – 4αβ)] (α + β)2
= (p2 – 4q) (p2)
∴ The required equation is x2 – (sum of the roots) x + product of the roots = 0
∴ x2 – 2(p2 – 2q)x + p2(p2 – 4q) = 0

Question 7.
If x2 + bx + c = 0, x2 + cx + b = 0 (b ≠ c) have a common root, then show that b + c + 1 = 0.
Solution:
If α is a common root of x2 + bx + c = 0, x2 + cx + b = 0 then
α2 + bα + c = 0 ………..(1)
α2 + cα + b = 0 ……….(2)
(1) – (2) ⇒ (b – c)α + (c – b) = 0
⇒ α – 1 = 0
⇒ α = 1
From (1), 1 + b + c = 0
Hence b + c + 1 = 0

Question 8.
Prove that the roots of (x – a) (x – b) = h2 are always real.
Solution:
Given equation is (x – a) (x – b) = h2
x2 – (a + b)x + (ab – h2) = 0
Discriminant = (a + b)2 – 4(ab – h2)
= (a + b)2 – 4ab + 4h2
= (a – b)2 + (2h)2 > 0
∴ The roots are real.

Question 9.
Find the condition that one root of the quadratic equation ax2 + bx + c = 0 shall be n times the other, where n is a positive integer.
Solution:
Let the roots of the equation ax2 + bx + c = 0 be α, nα
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) I Q9

Question 10.
Find two consecutive positive even integers, the sum of whose squares is 340.
Solution:
Let the two consecutive positive even integers be 2λ, 2λ + 2
Sum of squares = 340
⇒ (2λ)2 + (2λ + 2)2 = 340
⇒ λ2 + (λ + 1)2 = 85
⇒ λ2 + λ2 + 2λ + 1 – 85 = 0
⇒ 2λ2 + 2λ – 84 = 0
⇒ λ2 + λ – 42 = 0
⇒ (λ + 7) (λ – 6) = 0
⇒ λ = 6, λ = -7
∵ Given numbers are positive λ = 6
∴ The two consecutive positive even integers are
2λ = 2(6) = 12 and 2λ + 2 = 12 + 2 = 14

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

II.

Question 1.
If x1, x2 are the roots of the quadratic equation ax2 + bx + c = 0 and c ≠ 0, find the value of (ax1 + b)-2 + (ax2 + b)-2 terms of a, b, c.
Solution:
x1, x2 are the roots of the equation ax2 + bx + c = 0
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) II Q1
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) II Q1.1

Question 2.
If α, β are the roots of the quadratic equation ax2 + bx + c = 0, form a quadratic equation whose roots are α2 + β2 and α-2 + β-2.
Solution:
α, β are the roots of ax2 + bx + c = 0, then
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) II Q2
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) II Q2.1

Question 3.
Solve the following equation:
2x4 + x3 – 11x2 + x + 2 = 0
Solution:
2x4 + x3 – 11x2 + x + 2 = 0
Dividing by x2
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) II Q3
Substituting in (1)
2(a2 – 2) + a – 11 = 0
⇒ 2a2 – 4 + a – 11 = 0
⇒ 2a2 + a – 15 = 0
⇒ (a + 3) (2a – 5) = 0
⇒ a + 3 = 0 or 2a – 5 = 0
⇒ a = -3 or 2a = 5
⇒ a = -3 or a = \(\frac{5}{2}\)
Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a) II Q3.1
⇒ 2x2 + 2 = 5x
⇒ 2x2 – 5x + 2 = 0
⇒ (2x – 1) (x – 2) = 0
⇒ 2x – 1 = 0 or x – 2 = 0
⇒ x = \(\frac{1}{2}\), 2
∴ The roots are \(\frac{1}{2}\), 2, \(\frac{-3 \pm \sqrt{5}}{2}\)

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Question 4.
Solve 31+x + 31-x = 10
Solution:
31+x + 31-x = 10
\(\text { 3. } 3^{x}+\frac{3}{3^{x}}=10\)
Put a = 3x so that 3a + \(\frac{3}{a}\) = 10
⇒ 3a2 + 3 = 10a
⇒ 3a2 – 10a + 3 = 0
⇒ (a – 3) (3a – 1) = 0
⇒ a – 3 = 0 or 3a – 1 = 0
⇒ a = 3 or a = \(\frac{1}{3}\)
Case (i): a = 3
⇒ 3x = 31
⇒ x = 1
Case (ii): a = \(\frac{1}{3}\)
⇒ 3x = 3-1
⇒ x = -1
∴ The roots are 1, -1

Question 5.
Solve 4x-1 – 3 . 2x-1 + 2 = 0
Solution:
4x-1 – 3 . 2x-1 + 2 = 0
Put a = 2x-1 so that a2 = (2x-1)2 = 4x-1
∴ a2 – 3a + 2 = 0
⇒ (a – 2) (a – 1) = 0
⇒ a – 2 = 0 or a – 1 = 0
⇒ a = 2 or 1
Case (i): a = 2
2x-1 = 21
⇒ x – 1 = 1
⇒ x = 2
Case (ii): a = 1
2x-1 = 20
⇒ x – 1 = 0
⇒ x = 1
∴ The roots are 1, 2

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Question 6.
\(\sqrt{\frac{x}{x-3}}+\sqrt{\frac{x-3}{x}}=\frac{5}{2}\), when x ≠ 0 and x ≠ 3
Solution:
\(\sqrt{\frac{x}{x-3}}+\sqrt{\frac{x-3}{x}}=\frac{5}{2}\)
Put a = \(\sqrt{\frac{x}{x-3}}\)
\(a+\frac{1}{a}=\frac{5}{2}\)
⇒ \(\frac{a^{2}+1}{a}=\frac{5}{2}\)
⇒ 2a2 + 2 = 5a
⇒ 2a2 – 5a + 2 = 0
⇒ (2a – 1) (a – 2) = 0
⇒ 2a – 1 = 0 or a – 2 = 0
⇒ a = \(\frac{1}{2}\) or 2
Case (i): a = 2
\(\sqrt{\frac{x}{x-3}}\) = 2
⇒ \(\frac{x}{x-3}\) = 4
⇒ x = 4x – 12
⇒ 3x = 12
⇒ x = 4
Case (ii): a = \(\frac{1}{2}\)
\(\sqrt{\frac{x}{x-3}}=\frac{1}{2}\)
⇒ \(\frac{x}{x-3}=\frac{1}{4}\)
⇒ 4x = x – 3
⇒ 3x = -3
⇒ x = -1
∴ The roots are -1, 4.

Question 7.
\(\sqrt{\frac{3 x}{x+1}}+\sqrt{\frac{x+1}{3 x}}=2\), when x ≠ 0 and x ≠ -1
Solution:
Put a = \(\sqrt{\frac{3 x}{x+1}}\)
\(a+\frac{1}{a}=2\)
⇒ \(\frac{a^{2}+1}{a}\) = 2
⇒ a2 + 1 = 2a
⇒ a2 – 2a + 1 = 0
⇒ (a – 1)2 = 0
⇒ a – 1 = 0
⇒ a = 1, 1
∴ \(\sqrt{\frac{3 x}{x+1}}\) = 1
⇒ \(\frac{3 x}{x+1}\)
⇒ 3x = x + 1
⇒ 2x = 1
⇒ x = \(\frac{1}{2}\)
∴ The root is \(\frac{1}{2}\)

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Question 8.
Solve \(2\left(x+\frac{1}{x}\right)^{2}-7\left(x+\frac{1}{x}\right)+5=0\), when x ≠ 0.
Solution:
\(2\left(x+\frac{1}{x}\right)^{2}-7\left(x+\frac{1}{x}\right)+5=0\)
Put a = x + \(\frac{1}{x}\)
⇒ 2a2 – 7a + 5 = 0
⇒ (2a – 5)(a – 1) = 0
⇒ 2a – 5 = 0 or a -1 = 0
⇒ a = \(\frac{5}{2}\) or 1
Case (i): a = \(\frac{5}{2}\)
x + \(\frac{1}{x}\) = \(\frac{5}{2}\)
⇒ \(\frac{x^{2}+1}{x}=\frac{5}{2}\)
⇒ 2x2 + 2 = 5x
⇒ 2x2 – 5x + 2 = 0
⇒ (2x – 1) (x – 2) = 0
⇒ 2x – 1 = 0 or x – 2 = 0
⇒ x = \(\frac{1}{2}\) or 2
Case (ii): a = 1
\(x+\frac{1}{x}=1\)
⇒ \(\frac{x^{2}+1}{x}\)
⇒ x2 + 1 = x
⇒ x2 – x + 1 = 0
⇒ x = \(\frac{1 \pm \sqrt{1-4}}{2}=\frac{1 \pm \sqrt{3 i}}{2}\)
∴ The roots are \(\frac{1 \pm \sqrt{3 i}}{2}, \frac{1}{2}\), 2

Question 9.
Solve \(\left(x^{2}+\frac{1}{x^{2}}\right)-5\left(x+\frac{1}{x}\right)+6=0\), when x ≠ 0
Solution:
Put a = x + \(\frac{1}{x}\)
⇒ a2 = \(\left(x+\frac{1}{x}\right)^{2}\)
⇒ a2 = \(x^{2}+\frac{1}{x^{2}}+2\)
⇒ \(x^{2}+\frac{1}{x^{2}}\) = a2 – 2
∴ a2 – 2 – 5a + 6 = 0
⇒ a2 – 5a + 4 = 0
⇒ (a – 1) (a – 4) = 0
⇒ a = 1 or 4
Case (i): a = 1
x + \(\frac{1}{x}\) = 1
⇒ \(\frac{x^{2}+1}{x}\) = 1
⇒ x2 + 1 = x
⇒ x2 – x + 1 = 0
⇒ x = \(\frac{1 \pm \sqrt{1-4}}{2}=\frac{1 \pm \sqrt{3 i}}{2}\)
Case (ii): a = 4
x + \(\frac{1}{x}\) = 4
⇒ \(\frac{x^{2}+1}{x}\) = 4
⇒ x2 + 1 = 4x
⇒ x2 – 4x + 1 = 0
⇒ x = \(\frac{4 \pm \sqrt{16-4}}{2}\)
⇒ x = \(\frac{4 \pm 2 \sqrt{3}}{2}\)
⇒ x = 2 ± √3
∴ The roots are 2 ± √3, \(\frac{1 \pm \sqrt{3 i}}{2}\)

Inter 2nd Year Maths 2A Quadratic Expressions Solutions Ex 3(a)

Question 10.
Find a quadratic equation for which the sum of the roots is 7 and the sum of the squares of the roots is 25.
Solution:
Let α, β be the roots of quadratic equation
α + β = 7, α2 + β2 = 25
⇒ (α + β)2 – 2αβ = 25
⇒ 49 – 25 = 2αβ
⇒ αβ = 12
The required equation is x2 – (α + β)x + αβ = 0
⇒ x2 – 7x + 12 = 0

AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 13th Lesson Organic Chemistry-Some Basic Principles and Techniques Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 13th Lesson Organic Chemistry-Some Basic Principles and Techniques

Very Short Answer Questions

Question 1.
Write the reagents required for the conversion of benzene to methyl benzene.
Answer:
Benzene reacts with methyl chloride in presence of anhydrous AlCl3 to form methyl benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 1
This reaction is called as Friedal craft’s alkylation.

Question 2.
How is nitrobenzene prepared.
Answer:
Benzene undergoes nitration with nitration mixture (cone. HNO3 + Cone H2SO4) at less than 60° C to form nitrobenzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 2

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 3.
Write the conformations of ethane.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 3

Question 4.
How do you prepare ethyl chloride from ethylene?
Answer:
Ethylene reacts with hydrogen chloride to form Ethyl chloride in presence of anhydrous AlCl3 catalyst.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 4

Question 5.
Write the IUPAC names of :
a) CH3 – CH2 – CH2 – CH = CH3
b) AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 5
c) AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 6
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 7

Question 6.
Write the structures of Trichloroethanoic acid, Neopentane, P – nitro benzaldehyde. [Mar. ’13]
Answer:
Trichloro ethanoic acid – CCl3 – COOH
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 8

Question 7.
Discuss Lassaigne’s test.
Answer:
Lassaigne’s Test: –

  • A small dry sodium piece is taken in a fusion tube and heated gently till the sodium melts.
  • To this molten sodium a small amount of organic compound is added and heated until it changes red hot.
  • This red hot tube is plunged in a china dish containing water and this content is boiled, cooled and filtered.
  • The obtained filtrate is known as Lassaigne’s extract.
  • This test is used to detect the elements Nitrogen, Sulphur, halogens etc.,

Detection of Nitrogen : –
The Lassaigne’s extract is made alkaline by adding few drops of dil. NaOH. to this freshly prepared FeSO4 solution is added and warmed then few drops of FeCl3 are added followed by acidification with Cone. HQ (or) H2SO4. A bluish green colouration indicates the nitrogen.
Na + C + N → NaCN
2NaCN + FeSO4 → Na2SO4 + Fe (CN)2
Fe(CN)2 + 4NaCN → Na4 [Fe(CN)6]
3Na4 [Fe(CN)6] 4- 4FeCl3 → Fe4 [Fe(CN)6]3 + 12 NaCl (Prussian blue colouration)

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 8.
Explain the principle of chromatography.
Answer:
Chromatography has been developed as a method of separation components of a mixture generally between the stationary phase and a mobile phase.
Chromatography involves the three steps given below :
a) Adsorption and retention of a mixture of substances on the stationary phase and separation of adsorbed substances by the mobile phase to different distances on the stationary phase.
b) Recovery of the substances separated by a continuous flow of the mobile phase (known as elution) and
c) Qualitative and quantitative analysis of the eluted substances.

Question 9.
Explain why an organic liquid vaporizes at a temperature below it’s boiling point in it’s steam distillation.
Answer:
In steam distillation, the liquid boils when the sum of vapour pressures due to the organic liquid (P1) and that due to water (P2) becomes equal to the atmospheric pressure (P) i.e., P = P1 + P2.
∴ P1 is lower than P the organic liquid vaporises at lower temperature than it’s boiling point.

Question 10.
Explain the following :
a) Crystallisation
b) Distillation
Answer:
a) Crystallisation:

  • This technique is used for the purification of solid organic compounds.
  • This method is based on the difference in the solubilities of the compound and the impurities in a suitable solvent.
  • The impure compound is dissolved in a solvent in which it is partially soluble at room temperature and  appreciably soluble at higher temperature.
  • The solution is concentrated to get a nearly saturated solution on cooling the solution pure compound crystallises.
  • On repeating this process finally gets the very pure compound.

b) Distillation :
This method is used to separate

    1. Volatile liquids from non volatile impurities and
    2. The liquids having enough difference in their boiling points.
  1. Liquids having different boiling points vapourises at different temperatures.
  2. These vapours are cooled and the liquids formed are collected separately.
    Eg : CHCl3 (b.pt. 334 K) and C6H5NH2 (b.pt. 457 K) are easily separated by distillation technique.

Short Answer Questions

Question 1.
Complete the following reaction and name the products A, B and C. [T.S. Mar. ’15] [A.P. Mar. 16]
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 9
Answer:
CaC2 + 2H2O → Ca(OH)2 + C2H2
Acetylene (= A)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 10
A = C2H2 (Acetylene)
B = C6H6 (Benzene)
C = C6H5CH3 (Methyl benzene)

Question 2.
Name the products A, B and C formed in the following reactions. Give the equations for the reactions.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 11
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 12
A = 1, 2- dibromo ethane
B = Acetylene
C = 1, 1, 2, 2 – tetra bromo ethane

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 3.
How does acetylene react with : a) Bromine b) Hydrogen ? Write the balanced equations for the above reactions. Name the products.
Answer:
a) Addition of Br2: Acetylene reacts with bromine to form finally 1, 1, 2, 2 – tetra bromo ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 13
b) Addition of hydrogen : Acetylene undergoes addition reaction with hydrogen in the presence of Ni catalyst and gives ethylene and ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 14

Question 4.
What is substitution reaction ? Explain any two substitutuin reactions of benzene.
Answer:
Substitution : When an atom or a group in molecule is substituted by another atom or group then the reaction is called electrophillic substitution reaction.
e.g. : 1) Friedal craft’s alkylation : C6H6 reacts with chlorine in the presence of AlCl3 and form chloro benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 15
e.g. : 2) Nitration : C6H6 when heated with a mixture of cone. HNO3 and cone. H2SO4, below 60° C, to give nitrobenzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 16

Question 5.
What is dehydrohalogenation ? Write the equation for the formation of alkene from alkyl halide.
Answer:
Removal of hydrogen and halogen from the adjacent carbon atoms is called dehydrohalogenation.
Alkene from alkyl halide : When ethyl chloride is heated with alcoholic KOH, ethylene is formed due to dehydrohalogenation
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 17

Question 6.
Which type of compounds react with Ozone ? Explain with one example.
Answer:
1) Unsaturated hydrocarbons react with ozone and form addition compound called ozonide. On hydrolysis the ozonide gives carbonyl compound. This is called ozonolysis.

2) Unsaturated hydrocarbons usually react with ozone. Ozonolysis is used for the location of the double bond in unsaturated compounds like alkene, alkyne and benzene.
Example : Ethylene undergoes addition reaction with ozone and form ozonide. If, on hydrolysis, in presence of Zn dust, gives formaldehyde and H2O2.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 18

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 7.
Give two examples each for position and functional isomerism. [A.P. Mar. ’16] [Mar. ’13]
Answer:
Position isomerism : This type of isomerism arises due to the difference in the position of substituent group or in the position of multiple bond.
e.g.:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 19

e.g.: 2. CH3 – CH2 – C = CH 1 – butyne
CH3 – C = C – CH3 2 – butyne

Functional group isomerism : This type of isomerism arises in carbon compounds having the same molecular formula but with different functional groups.
e.g.: 1. CH3 – CH2 – CH2 – OH 1 – proparal (C3H3O)
CH3 – CH2 – O – CH3 methoxy ethane (C3H8O)
e.g.: 2. CH3 – CH2 – OH Ethanol
CH3 – O – CH3 methoxy methane

Question 8.
Explain the mechanism of halogenations of methane.
Answer:
Methane undergoes halogenation (with Cl2) to form finally tetrachloro methane. This is a substitution reaction and takes place in presence of light.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 20
Mechanism:
Halogenation process involves the free radical chain mechanism
This mechanism involves 3 steps
i) Initiation
ii) Propagation
iii) Termination

i) Initiation : The reaction initiated by the cleavage of chlorine molecule in presence of light. Cl – Cl bond is weaker than the C – C and C – H bonds
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 21
ii) Propagation : Chlorine free radical attacks the CH4 molecule and generates methyl free radical.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 22
The methyl radical formed attacks the 2nd molecule of chlorine to form another chlorine free radical.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 23
Propagation takes place in several steps as follows.
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iii) Termination : The reaction terminated after sometime due to consumption of reactants. The following are the possible chain terminating steps
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 25

Question 9.
How is ethylene prepared from ethyl alcohol ? Write the equation.
Answer:
Ethylalcohol reacts with Conc.H2SO4 at 170°C to form Ethylene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 26
The above reaction is dehydration reaction. (H2O removal takes place)

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 10.
Explain the reactions of acetylene with : a) Na in NH3 b) chromic acid. Write the equations and name the products.
Answer:
a) With Na in NH3 : Acetylene reacts with Na in liquid NH3 to give monosodium acetylide and disodium acetylide.
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AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 28
b) Chromic acid : Acetylene is oxidised to acetic acid by chromic acid.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 29

Question 11.
Explain crystallisation and sublimation phenomenon which are used in the purification of organic compounds.
Answer:
Crystallisation: The principle used here is that the impurities are insoluble or soluble in the given solvent at any temperature, but the substance to be purified is sparingly soluble at room temperature but highly soluble at highest temp. (i.e.,) almost near the boiling temp. of the solvent.
This method is useful to purify solid compounds.

Sublimation : Some solid substances when heated pass directly into vapour state without melting. Those vapour on cooling form directly solid with out condensing to liquid. This phenomenon is called sublimation.

Impure compound is taken in a beaker covered with a watch glass and heated on an electric plate. The compound sublimates and solidifies on the lower surface of the watch glass. Impurities settle in the beaker. Pure compounds in separated by scratching the watch glass.
This is also a purification method of solids.

Question 12.
Describe solvent extraction method to purify a compound.
Answer:
Solvent extractiân : Suppose an organic compound ‘A’ is more soluble in an organic solvent that in water but present in aq. solution. The aq. solution is shoken with the organic solvent. ‘A’ goes into the organic solvent which is immiscible with water. The organic layer is separated and distilled to remove the liquid solvent. The compound remains with distillation flask.

Question 13.
Explain the estimation of phosphorus and sulphur in the given organic compounds.
Answer:
Estimation of phosphorus : Known mass of organic compound (‘a’ gm) is heated with fuming HNO3 in a carius tube. ‘P’ is oxidised to H3PO4 acid. This acid is precipitated as ammonium phosphomolybdate (‘b’ gm) by adding ammonia and ammonium molybdate solutions.
% g of phosphorus = \(\frac{100}{a}\) × \(\frac{b}{1877}\) × 31 gm
Molecular mass of (NH4)3 PO4. 12 MO O3 (ammonium phosphomolybdate) = 1877
Estimation of sulphur : Known mass of organic compound (‘a’ gm) is heated with sodium peroxide in a carius tube. If sulphur is present it is oxidised to sulphuric acid. The acid is precipitated as barium sulphate (big) by adding excess of aq. BaCl2 solution. The ppt. is filtered, washed, dried and weighed.
% g of sulphur = \(\frac{100}{a}\) × \(\frac{b \times 32}{233}\) g
Molecular mass of BaSO4 = 233

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 14.
Explain addition of HBr to propene with the ionic mechanism.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 30
Electrophilic addition mechanism : (Ionic Mechanism)
Step (i) ; Formation of carbonium ion
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 31
Step (ii) : Stable carbonium ion is attacked by Br
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 32

Question 15.
What is the product formed when sodium propionoate is heated with soda lime, (imp)
Answer:
Sodium propionate is heated with sodalime to form ethane. This reaction is decarboxylation reaction. NaOH + CaO is called as Decarboxylating agent.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 33

Long Answer Questions

Question 1.
Explain the classification of hydrocarbons.
Answer:
Classification of hydrocarbons : Hydrocarbons are classified as aliphatic hydrocarbons and aromatic hydrocarbons. Aliphatic hydrocarbons are again classified as open chain hydrocarbons and closed chain hydrocarbons i.e., cyclohydrocarbons. Both open chain and closed chain hydrocarbons are again classified as hydrocarbons containing C – C single bonds. > C = C < compounds, – C = C – hydrocarbons. Aromatic compounds are called benzenoids as they are related to benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 34

Question 2.
Write IUPAC names of the following compounds :
a) AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 35
b) CH2 = CH – C C – CH3
c) CH3 – CH = C (CH3)2
d) AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 36 CH2 – CH2 – CH = CH2
e)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 37
Answer:
a) 1, 3 – Buta diene
b) CH2 = CH – C ≡ C – CH3
Pent, 1 -ene 3 – yne
c) CH3 – CH = C (CH3)2
2 – Methyl 2 – Butene
d) AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 38
e)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 37
4 – ethyl Dec 1, 5, 8 – Triene

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 3.
Describe two methods of preparation of ethane. Give any three reactions of ethane.
Answer:
Methods of preparation of ethane:
1. Decarboxylation:
Ethane is prepared by heating sodium propionate with sodalime.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 39

2. Kolbe’s electrolysis:
Ethane is obtained by the electrolysis of potassium acetate solution.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 40
H2 gas evolves at cathode.
Ethane and CO2 are formed at anode.

Chemical properties of ethane :
1. Halogenation:
Ethane reacts with chlorine in the presence of sunlight. Hydrogen atoms are substituted by halogen atoms successively. The final product is Hexachloro ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 41

2. Nitration:
Ethane reacts with nitric acid at 400° C and gives nitro ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 42

3. Pyrolysis:
When ethane is heated in the absence of oxygen it decomposes giving ethylene and hydrogen.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 43

Question 4.
Write the structural formulas and IUPAC names for all possible isomers having the number of double (or) triple bond as indicated :
a) C4H8 (one double bond)
b) C5H8 (one triple bond)
c) C5H12 (No multiple bonds).
Answer:
a) The possible Isomers of C4H8 (one double bond)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 44
b) The possible Isomers of C5H8 (one triple bond)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 45
c) The possible Isomers of C5H12 (No multiple bonds)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 46

Question 5.
Write chemical equations for combustion reaction of the following hydrocarbons.
a) Butane
b) Pentene
c) Hexyne.
Answer:
a) Combustion of Butane :
C4H10 + \(\frac{13}{2}\) O2 → 4CO2 + 5H2O + Energy

b) Combustion of Pentene:
C5H10 + \(\frac{15}{2}\) O2 → 5CO2 + 5H2O + Energy

c) Combustion of Hexyne:
C6H10 + \(\frac{17}{2}\) O2 → 6CO2 + 5H2O + Energy

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 6.
Addition HBr to propene yields 2 – bromopropane, while in the presence of benzoyl peroxide, the same reaction yields 1 – bromo propane. Explain and give mechanism.
Answer:

  • Addition of HBr to propene yields 2 – Bromopropene. Here the reaction mechanism is electrophillic. addition mechanism.
  • Addition of HBr to propene in presence of benzoyl peroxide the reaction proceeds through free radical mechanism.
    AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 47

Electrophilic addition mechanism : (Ionic Mechanism)
Step (i) : Formation of carbonium ion
HBr → H+ + Br
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 48

Question 7.
Describe two methods of preparation of ethylene. Give equation for the reactions of ethylene with the following,
a) Ozone
b) Hypohalous acid
c) Cold and dil. alkKMno4
d) Heated with O2 at high pressure
Answer:
Preparation of ethylene:
1. Dehydrohalogenation of alkyl halide: When ethylbromide is heated with alcoholic KOH, ethylene is formed.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 49

2. Dehydration of ethanol: When ethanol is heated with cone. H2SO4 at 170°C, ethylene is obtained.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 50

Chemical properties :
a) With O3: Ethylene undergoes addition reaction with ozone and gives a cyclic compound called ozonide. It undergoes hydrolysis in the presence of zinc dust to give formaldehyde.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 51

b) With HOCl : Ethylene reacts with hypochlorous acid and gives ethylene chlorohydrin.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 52

c) Cold and dil. alk. KMnO4: Pink coloured cold and dil. alkaline KMn04 solution is Bayer’s reagent. Ethylene decolourises Bayers reagent to give ethylene glycol. This is test for unsaturation.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 53

d) Polymerisation : When Ethylene is heated in the presence of 02 at a temperature of 200° C and high pressure of 1500 – 2000 atmospheres gives polyethene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 54

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 8.
How does ethylene react with the following reagents ? Give the chemical equations and names of the products formed in the reactions,
a) Hydrogen halide
b) Hydrogen
c) Bromine
d) Water
e) Oxygen in presence of Ag at 200° C.
Answer:
(a) Reaction with hydrogen halide : Ethylene reacts with Hydrogen halides to give ethyl halides.
H2C = CH2 + HX → CH3 – CH2 X
e.g.: H2C – CH2 + HCl → C2H5Cl Ethyl chloride

(b) With Hydrogen : Ethylene reacts with H2 in presence of Ni, Pt or Pd to give ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 55

(c) With Bromine : Ethylene decolourises red coloured Br2 in CCl4 to give 1,2- dibromo ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 56

(d) With water : Ethylene reacts with dil. H2SO4 to give ethyl alcohol.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 57

(e)With Sulphur monochloride : Ethylene reacts with S2Cl2 to give musturd gas.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 58

(f) With O2 at presence of Ag: Air oxidises ethylene to ethylene oxide known as epoxide in presence of Ag catalyst at 200 – 400°C.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 59

Question 9.
An alkene ‘A’ on ozonolysis gives a mixture of ethanal and pentan 3-one. Write the reaction, structure of the products and alkene – A. Give the IUPAC name of alkene – A.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 60

Question 10.
An alkene ‘A1 contains three C – C, eight C – H bonds and one C = C bond. ‘A’ on ozonolysis gives two moles of an aldehyde of molar mass 44o . Write IUPAC name of ‘A’.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 61
IUPAC name of ‘A’ is 2 – Butene

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 11.
Give two methods of preparation of acetylene. How does it react with water and Ozone ?
Answer:
Preparation of acetylene :
1. Dehydrohalogenation : Acetylene is obtained when dibromo ethane is heated with alcoholic KOH.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 62

2. Acetylene is obtained by heating iodoform with silver powder.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 63

3. Addition of water : Acetylene undergoes addition reaction with water in the presence of mercuric sulphate and sulphuric acid. Vinyl alcohol formed in the reaction undergoes rearrangement and gives acetaldehyde . [Mar. 06, June 04]
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 64

4. Reaction with ozone : Acetylene reacts with ozone to form an ozonide which on hydrolysis in presence of Zn forms glyoxal. [June 04]
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 65

Question 12.
How does acetylene react with the following reagents ? Give the corresponding equations and name the products formed in the reactions
a) Acetic acid
b) Water
c) Hydrogen
d) Halogens
e) Hydrogen halide
f) Ammonical AgNO3 and Cl2Cl2 [T.S. Mar. 16]
Answer:
(a) Reaction with Acetic acid : Acetylene on treatment with acetic acid gives vinyl acetate in the 1st step and then gives ethylidene acetate. Hg2+ ions act as catalyst.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 66

(b) Addition of water: Acetylene undergoes addition reaction with water in the presence of mercuric sulphate and sulphuric acid. Vinyl alcohol formed in the reaction undergoes rearrangement gives acetaldehyde.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 67

(c) Addition of hydrogen : Acetylene undergoes addition reaction with hydrogen in the presence of Ni catalyst and gives ethylene and ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 68

(d) Addition of halogens : Acetylene undergoes addition reaction with halogens to give 1, 1, 2, 2 tetra haloethane. Dihalo alkene is formed in the first step which then adds on another molecule of halogen to give tetra halo ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 69

(e) With Hydrogen halide : Acetylene on addition with HCl gives Vinyl chloride and finally 1, 1 – dichloroethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 70

(f) With Ammonical AgNO3 solution : Acetylene gas is passed through ammonical AgNO3 solution to form a white precipitate of silver acetylide. .
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 71
With Ammonical Cu2Cl2 solution : Acetylene gas is passed through Ammonical cuprous chloride solution to give a red precipitate of cuprous acetylide.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 72

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 13.
Describe any two methods of preparation of benzene with corresponding equations. Benzene does not behave like an alkenes why ? How do we get methyl benzene from benzene ?
Answer:
Preparation of Benzene:
1. When sodium benzoate distilled with sodalime. Benzene is formed.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 73

2. Polymerisation of Acetylene : When Acetylene gas is passed through red hot Cu or Fe tubes, it polymerises and gives Benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 74
Constitution of Benzene : Benzene molecule cannot be represented by a single structure. It has the following Resonance structures.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 75
The resonance energy of Benzene is 150.48 KJ/mole. Thus, it has more stability. Hence does not undergo addition reactions like alkenes. Benzene is an aromatic molecule.
Benzene to toluene (Friedal Craft’s Alkylation) :
Benzene reacts with methyl chloride in presence of AlCl3 and forms methyl benzene (Toluene).
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 76

Question 14.
How do we get benzene from acetylene ? Give the corresponding equation. Explain the halogenations, alkylation, acylation, nitration and Sulphonation of benzene.
Answer:
Preparation of Benzene from acetylene: On passing acetylene gas through red hot iron tubes, it trimerises to give benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 77
Chemical Properties:
(1) Halogenation : Benzene reacts with chlorine in the presence of FeCl3 or AlCl3 to give chioro-benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 78

(2) Friedel – Craft’s Alkylation : Benzene reacts with alkyl halides in the presence of AlCl3 to give alkyl benzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 79

(3) Friedel – Craft’s Acylation : Benzene reacts with acetyl chloride in the presence of AlCl3 to give acetophenone.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 80

(4) Nitration : Benzene when heated with a mixture of cone. H2SO4 and cone. HNO3 below 60°C to give Nitrobenzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 81

(5) Sulphonation : With fuming H2SO4, benzene, reacts to form benzene sulphonic acid.
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AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 15.
Explain the differences between structural isomers and stereo isomers.
Answer:
Structural isomerism : When the isomerism is due to difference in the arrangement of atoms within the molecule, without any reference to space, the phenomenon is known as Structural isomerism. In this type of isomerism, the isomers possess the same molecular formula, but different structural formula.
Structural isomerism is further classified into different types :
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 83
Stereoisomerism : The stereoisomers have the same molecular and structural formula, but differ in the arrangement of atoms or groups in space. Thus the phenomenon exhibited by two or more compounds with the same molecular and structural formulae, but different spatial arrangement of atoms or groups. The spatial arrangement of atoms or groups is also referred to as configuration of the molecule. It is further classified into three types.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 84

Question 16.
What is the differences between conformation and configuration in open chain molecules.
Answer:
Configurational Isomerism : (Optical and geometrical isomerism): These are the stereo – isomers which are discrete, stable and isolable substances. They cannot be inter-converted into one another without making and breaking of new bonds. These isomers cannot be superimposed on each other.
These isomers are further classified as enantiomers, diastereomers and geometrical isomers.

Conformational Isomers : These are the stereo – isomers that easily convert into one another by the rotation around “C – C” bonds. These are in dynamic equilibrium with one another and cannot be separated under ordinary conditions.
This type of isomerism is in alkanes such as n – butane.

Question 17.
What do you understand about geometrical isomerism ? Explain the geometrical isomers of 2 – butene.
Answer:
Geometrical isomerism (Cis – trans isomerism): The isomers which possess the same structural formula but differ in spatial arrangement of the groups around the double bond are called geometrical isomers and the phenomenon is known as geometrical isomerism.
When the same groups lie on the same side of double bond, it is Cis – isomer, while when the same groups lie on opposite side of double bond, the isomer is trans.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 85

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 18.
Explain the method of writing E – Z configurations for geometrical isomers taking CHCl = CFBr as your example.
Answer:
E – Z configurations for geometrical isomers : The following procedure is followed in specifying the configurations of compounds.
i) Arrange the atoms / groups attached to each doubly bonded carbon in the order of their atomic numbers.

ii) Choose the atom/group higher priority on each doubly bonded carbon. If the atoms/groups of higher priority on each carbon are on the same side of the molecule, the letter “Z” is used to denote the configuration of such isomer. When the atoms/groups of higher priority on each carbon are on the opposite sides of the molecule, the letter ‘E’ is prefixed before the name to indicate configuration.
Example : CHCl = CFBr
Among H and Cl, 17Cl gets more priority than 1H
Among H and Br, 35Br gets more priority than 9F
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 86

Question 19.
If an alkene contains on carbons at double bond Cl. Br and – CH2 – CH2 – OH – CH (CH3)2, Write the E and Z configurations of it.
Answer:
From the given data, the structural formulae of the molecule is
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 87

Question 20.
Write a note on :
a) Distillation
b) Fractional distillation
c) Distillation under reduced pressure
d) Steam distillation.
Answer:
a) Distillation : This process is useful for the purification of liquids contaminated with nonvolatile impurities. The impure liquid is boiled in a distillation flask and the vapours are condensed and collected in a receiver. This method can also be used to separate liquids if only their boiling points differ by above 40°C. However, in the case of liquids that have boiling point difference less than 40°C fractional distillation method is used.

b) Fractional distillation : Fractional distillation for liquids that have B.Pt difference less than 40°C. The technique here is that vapours of liquid mixture. When pass through long fractionating column vapours of the liquid with high B.Pt condense and those with low B.Pt pass over through the condenser get condensed and collected in the receiver.
Here, long tubes having different shapes and designs to fit for particular requirements are used.

These are called fractionating columns. The liquid mixture is taken in a distillation flask i.e., fitted with a fractionating column at its mouth. At the upper end of the column, there is a provision to connect it to the water condenser.

c) Distillation under reduced pressure : This method is useful to purify liquids that have very high boiling points and those which decompose at or below their boiling points. If the external pressure is reduced the liquid boils at lower temperature than its normal boiling point without decomposition.

d) Steam distillation : Here liquids which are immiscrible in water passes high boiling point and steam volatile are purified. In this method steam is passed into the hot liquid that is to be purified. The mixture of steam and vapour of volatile organic compound come out. This is because of the sum of the vapour pressures of steam and the liquid to be purified become equal to the atmospheric pressure. They are passed through the condenser and condensed and finally collected in the receiver. The water layer and the organic liquid layer are separated using a separating funnel.

Question 21.
Write a brief note on chromatography.
Explain the following :
a) Column chromatography
b) Thin layer chromatography
c) Partion chromatography.
Answer:
Chromatography has been developed as a method of separation components of a mixture generally between the stationary phase and a mobile phase.
Chromatography involves the three steps given below :
a) Adsorption and retention of a mixture of substances on the stationary phase and separation of adsorbed substances by the mobile phase to different distances on the stationary phase.

b) Recovery of the substances separated by a continuous flow of the mobile phase (known as elution) and

c) Qualitative and quantitative analysis of the eluted substances.

Classification :
Two general chromatography techniques are discussed below. They are :

  1. adsorption chromatography
  2. partition chromatography.

Adsorption chromatography is based on the adsorption of different compounds on an adsorbent to different degrees. Generally used adsorbents are silica gel and alumina. A mobile phase is allowed to move over a stationary phase, the adsorbent. The components of the mixture move to different distances over the stationary phase.

Differential adsorption principle is used in
a) column chromatography and
b) thin layer chromatography.

Column chromatography : In the column chromatography the components of a mixture are separated by a column of adsorbent packed in a glass tube. The column is fitted with a stopcock at its lower end. The mixture to be adsorbed on the adsorbent is placed at the top of the stationary phase. A suitable eluant, either a single solvent or a mixture of solvents is allowed to flow down the column slowly. Depending on the degree to which the compounds are adsorbed the components are separated. The most readily absorbed substances are retained near the top and other come down accordingly to various distances.

Thin layer chromatography (TLC): This also involves adsorption differences. Here the adsorbent, say silica gel or alumina is coated over a glass plate of suitable size in thin layer. The plate is called TLC plate or chromoplate. The solution of the mixture to be separated is applied as a small spot at about 2 cm from the bottom of the plate. The plate is then kept in a closed jar containing the eluant. As the eluant rises up the plate, the components of the mixture move up along with the eluant to various distances depending on their degree of adsorption.

The relative adsorption of a component of the mixture is expressed in terms of its RETARDATION FACTOR (Rf) value.
Rf = \(\frac{\text { Distance moved by the subs tance from base line }(\mathrm{X})}{\text { Dis tance moved by the solvent from base line }(\mathrm{Y})}\)
Partition chromatography : This is based on continuous differential partitioning of components of a mixture between the Stationary phase and the mobile phase. In paper chromatography, for example, a special paper called chromatography paper contains water trapped in it which acts as the stationary phase. The chromatography paper spotted with the solution of the mixture at the base is suspended in a suitable solvent or a mixture of solvents.

This solvent acts as the mobile phase. The solvent rises up the paper by capillary action and moves over the spot. The paper selectively retains different components as per their differing partition in mobile and stationary phase. The paper strip so developed is known as chromatogram. The spots of the separated coloured compounds are detected and for colourless compounds other methods like spraying suitable reagent, are used.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 22.
Explain the estimation of nitrogen of an organic compound by
a) Duma’s method
b) Kjeldahl’s method.
(or)
Describe Duma’s and Kjeldahl’s method for the estimation of Nitrogen.
Answer:
Estimation of nitrogen : There are two methods to estimate nitrogen in the given organic compound known as
i) Duma’s method and
ii) Kjeldahed’s method.

i) Duma’s method : In this method a known weight of organic compound is heated strongly with coarse cupric oxide. Carbon and hydrogen get oxidised to carbon dioxide and water vapour respectively. Nitrogen if present is converted to nitrogen gas. Even if some nitrogen is converted to its oxides. They are reduced by hot copper gauze to nitrogen. The product gases are collected over a solution of potassium hydroxide. CO2 is absorbed by KOH solution. Nitrogen is collected over potassium hydroxide solution and its volume is found out.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 88
Suppose that ‘a’ g of organic compound gives V1 ml of N2 at room temperature TK. If atmosphere pressure is P and aqueous tension at TK is P, then the pressure of nitrogen gas at TK is (P – p). Let (P – p) = P1 Reduce the volume of nitrogen to standard temperature 273 K and standard pressure 760 mm.
Volume of nitrogen at STP is v = \(\frac{\mathrm{P}_1 \mathrm{~V}_1}{\mathrm{~T}_1} \times \frac{273}{760}\)
28 g of nitrogen at STP occupies 22400 ml
? g. of nitrogen at STP occupies Vml. of nitrogen.
28 × \(\frac{V}{22400}\)g
‘a’ g. of organic compound \(\frac{28 \times V}{22400}\) g of nitrogen.
100 g organic compound has ? of nitrogen = \(\frac{100}{a} \times \frac{28 \times V}{22400}\) g

ii) Kjeldah’s method : This is another method to estimate nitrogen. In this method, the compound is heated with concentrated sulphuric acid in the presence of small amount of CuSO4.
Nitrogen is quantitatively converted into ammonium sulphate. The contents of the flask are transferred to another flask and heated with excess of sodium hydroxide solution to liberate ammonia gas. Ammonia gas so liberated is passed and absorbed in a known volume of known concentrated sulphuric acid that is relatively more in amount than that is required to neutralise NH3 gas. Now, the excess of acid remained after the neutralisation by NH3 is titrated against a standard solution of alkali. From the above, the amount of H2SO4 used to neutralise NH3 is calculated. From this, the mass of ammonia formed is calculated and from that percentage of nitrogen is calculated.
Organic compound + H2SO4 →(NH4)2 SO4
(NH4)2SO4 + 2 NaOH → Na2SO4 + 2 H2O + 2 NH3
2 NH3 + H2SO4 → (NH4)2SO4
Calculation :
Let the mass of organic compound taken be ‘a’ g.
Let the volume of H2SO4 initially taken be ‘Vml‘ and its molarity M.
After passing the NH3 gas into the above acid, if the remaining acid is titrated with M molar NaOH and it consumes V1 ml. of NaOH for complete neutralisation, then from the formula
\(\frac{\mathrm{MV}_1}{\mathrm{n}_1}\) (NaOH) = \(\frac{\mathrm{MV}_2}{\mathrm{n}_2}\) (H2SO4)
From the stoichiometric equation
2 NaOH + H2SO4 → Na2SO4 + 2H2O
n1 = number of moles of NaOH = 2; n2 = number of moles of H2SO4 = 1
\(\frac{\mathrm{MV}_1}{2}\) = \(\frac{\mathrm{MV}_2}{1}\) or V2 = \(\frac{\mathrm{V}_1}{2}\) ml
Therefore, the volume of H2SO4 neutralised by NH3 is [V – \(\frac{\mathrm{V}_1}{2}\)] ml
(or) it is equal to 2 [V – \(\frac{\mathrm{V}_1}{2}\)] ml. of M molar NH3 solution.
1000 ml. of 1M NH3 solution contains 17g. of NH3 or 14g. of N2
2[V – \(\frac{\mathrm{V}_1}{2}\)] ml ml. of ‘M’ NH3 solution contains
\(\frac{14 \times M \times 2\left[V-\frac{V_1}{2}\right]}{1000}\) g. of nitrogen.
Percentage of nitrogen = \(\frac{14 \times M \times 2\left[V-\frac{V_1}{2}\right]}{1000} \times \frac{100}{a}\)

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 23.
Explain inductive effect with a suitable example.
Answer:
Inductive effect: The electron donating or electron with drawing effect of a groups an atom that is transmitted by the polarisation of electrons in σ bonds is called inductive effect.
Illustration : Consider the molecule CH3 – CH2 – CH2 – Cl. There is a ‘σ’ covalent bond between carbon atom and chlorine atom. The electron pair between them is not equally shared. The more electronegative chlorine atom tends to attract the shared pair more towards itself. Due to this, the electron density tends to be greater nearer chlorine atom than carbon atom. It is generally represented
as AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 89 But, carbon atom bonded to chlorine atom is itself attached to other carbon atoms. Therefore, the effect can be transitted further AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 90
“Inductive effect is defined as the polarisation of a bond caused by the polarization of adjacent σ bond”.
(-I) effect i.e., electron with drawing effect is in the order
+NH3 > NO2 > CN > SO3H > CHO > CO > COOH > COCl > COOR > CONH2 > F > G > Br > I > OH > OR > NH2 > C6H5 > H.
+ I effect is – \(\bar{N} R\) > – \(\overline{O}\) ; – Se > S > -O ; – C(CH3)3 > – CH(CH3)2 > – CH2CH3 > – CH3.

Question 24.
Write a note on mesomeric effect.
Answer:
Mesomeric effect:
“The electron pair displacement caused by an atom or group along a chain by a conjugative mechanism is called the mesomeric effect of that atom or group”.
Salient features of the mesomeric effect:
i) Permanent effect operating in the ground state of the molecule.
ii) Lone pairs and n electrons are involved and operate through conjugative mechanism of electron displacement.
iii) It influences the physical properties, reaction rates etc.

Groups which tend to increase the electron density of the rest of the molecule are said to have (+M) effect. Such groups tend to posses lone pairs of electrons.
e.g. : AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 91
Groups that decrease the electron density of the rest of the molecule are said to have (-M) effect. Unsaturated groups having polar character have – M effect.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 92. Here C = O group decreases the electron density of the remaining molecule. It has – M effect.
+ M effect is – F > – Cl > – Br > – I;
-NR2 > OR > F;
– NH2 > – OH > – F;
– OR > – SR > SeR
– O > – OR
– M effect is = O > = NR > = CR2
= NR2< =NR ≡ N > ≡ CR

Question 25.
Describe resonance effect with one example.
Answer:
Resonance effect: It is the polarity produced in a molecule by the interactions of two n bonds or between a π bond and a lone pair of electrons present on adjacent atoms. This effect is transmitted through the chain.
If the transfer of electron is away from the atoms or substituent group attached to the conjugated system, then the molecule gets some of its positions high electron density as in aniline and it is given (+ R). If the shift of electrons are towards the atom or substituent group it is (- R) as in nitrobenzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 93
Groups showing (+ R) are X, – OH, – OR, – COOR, – NH2, – NHR, – NR2, – NHCOR etc.
(- R) effect are – COOH, CHO, > C = O, – CN, – NO2.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 26.
Explain how many types of organic reactions are possible.
Answer:
Organic reactions are mainly classified into four types known as
i) Addition rections.
ii) Substitution reactions
iii) Elimination reactions
iv) Molecular rearrangements.

i) Addition reactions : In these reactions the reagent and the substract combine together to give a single product.
e.g.: AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 94
Depending on the reagent added in the slow rate determining step, addition reactions are again a) Electrophilic classified addition reactions, b) Nucleophilic addition reactions c) Free radical addition reactions.

ii) Substitution reactions : In these reactions on atom or a group of the substrate species is replaced by another atom or group. These are again classified as a) Electrophilic substitution b) Nucleophilic substitution and c) Free radical substitution reactions on the basis of the reagent involved in the rate determining step.
e.g.-: \(\overline{\mathrm{O}}\)H(aq) + R – X → HO – R + X(aq)

iii) Elimination reactions : In these reactions two or more atoms or groups of an organic substrate are removed to form multiple bonds.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 95

iv) Molecular rearrangements : Here one organic species (generally less stable) rearranges to other species (generally more stable). For example. Fries rearrangement.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 96

Question 27.
Write the possible conformations of ethane and explain which is more stable.
Answer:
Conformation of ethane : The conformational isomers of a given alkane are obtained by rotation about C – C bond and they are represented by Newman projections or line – Wedge or Sawhorse projections. Newman projections and energy diagrams for the various conformations of ethane are given below.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 97
Staggered (S) occurs at Dihedral angle 60°, 180°, 300°
Rotation about the carbon – carbon bond in ethane is though very rapid, not completely free. Two conformations of ethane known as staggered conformation (S) and the eclipsed conformation (E) are very important though infinite number of confomation are possible.

The C – H bonds in the staggered conformation are arranged so that each one bisects the angle defined by two C – H bonds on adjacent carbon. In the eclipsed conformation each C – H bond is aligned with a C – H bond on adjacent carbon.

In the staggered one the distance between the hydrogen nuclei is 2.55 A° but in eclipsed 2.29 A°. The staggered and elipsed conformations are interconvertible by rotation of one carbon with respect to the other around the a bond that connects them. Different conformations of the same molecule are also called conformers or rotamers.
Stability :
Staggered (S) form is more stable than eclipsed. Because in case of eclipsed form electronic repulsions are high and in case of staggered form electronic repulsions are minimum.

Question 28.
Explain aromatic electrophillic substitution reactions of benzene.
Answer:
1) Halogenation : Benzene reacts with bromine or chlorine in the presence of Lewis acids like FeCl3, AlCl3 etc., to give corresponding halobenzene.
e.g. :
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 98
Similarly with bromine, bromobenzene is formed.

2) Nitration : Benzene undergoes nitration when heated with a mixture of 1 : 1 (by volume) concentrated nitric acid and concentrated sulphuric acid (nitration mixture) at a temperature below 60° C.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 99

3) Benzene reacts with fuming sulphuric acid (oleum) and gives benzene sulphonic acid.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 100

4) Friedel – Craft’s alkylation and acylation : Benzene reacts with alkyl halides and acylh in the presence of Lewis acids (AlCl3, FeCl3) and gives alkyl benzenes and acyl benzenes.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 101
Benzene reacts with acetyl chloride in the presence of anhydrous aluminium, chloride and acetophenone.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 102

General Mechanisms : Electrophilic substitution reaction (SE) proceeds in two steps as
I. Generation of electrophile
II. a) Formation of carbocation intermediate
b) Removal of proton from carbocation intermediate.

I. Generation of electrophile E+: In the reactions halogenation, alkylation and acylatio benzene, anhydrous AlCl3, the Lewis acid produces electrophile X+ say Cl+, R+ and RCO+ by reacting the reagent chlorine, alkyl halide and acylhalide respectively.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 103
II. a) Formation of carbocation : Electrophile generated above attacks one of the benz carbons to change it to sp3 hybridised. The carbocation (Arrhenium ion) is stabilised through resonal.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 104
Sigma complex loses aromatic character due to delocalisation of electrons stopping at sp3 carb

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

b) Losing of proton : To regain aromatic character the \(\stackrel{+}{\mathrm{C}}\) loses one proton to sp3 carbon on attack
of (AlCl4) in case of halogenation, alkylation and acylation and HSO4 in case of nitration.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 105

Question 29.
Explain electrophilic addition reactions of ethylene with mechanism.
Answer:
Electrophilic addition reactions of ethylene :
1. Addition of Hydrogen : Ethylene react with hydrozen in the presence of Pt, Pd or Ni catalyst to form ethane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 106
2. Addition of halogens : Halogens (Cl2 or Br2) react with ethylene in the presence of an inert solvent like CCl4 to form dihalo derivative
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 107
Mechanism :
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 108
3. Addition of hydrogen halides : Ethylene reacts with HBr to form ethyl bromide
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 109
4. Addition of water : In presence of few drops of cone. H2SO4, water adds to ethylene to form alcohol.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 110

Question 30.
With the help of mechanism explain free radical halogenations of alkanes.
Answer:
Methane undergoes halogenation (with Cl2) to form finally tetrachloro methane. This is a substitution reaction and takes place in presence of light.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 111
Mechanism :

  • Halogenation process involves the free radical chain mechanism
  • This mechanism involves 3 steps
    i) Initiation
    ii) Propagation
    iii) Termination

i) Initiation : The reaction initiated by the cleavage of chlorine molecule in presence of light. Cl – Cl bond is weaker than the C – C and C – H bonds
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 112

ii) Propagation : Chlorine free radical attacks the CH4 molecule and generates methyl free radical.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 113
The methyl radical formed attacks the 2nd molecule of chlorine to form another chlorine free radical.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 114

iii) Termination : The reaction terminated after sometime due to consumption of reactants.
The following are the possible chain terminating steps
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 115

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 31.
Discuss Markownikov’s rule and Kharash effect.
Answer:
Statement of Markownikoff’s rule : The rule states that when an unsymmetrical reagent adds to a double bond, the positive part of the adding reagent attaches itself to a carbon of the double bond so as to yield the more stable carbocation as an intermediate.

Mechanism : A pair of electrons from the double bond attacks the electrophilic HX to produce an achiral trigonal planar carbocation intermediate. Thehalideion X then adds to either face of the positively charged carbon forming alkyl halide product.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 116
Anti Mark Kownikoffs addition or peroxide effect or Kharasch effect : In the presence of peroxide (R – O – O – R) the addition of HBr to unsymmetrical alkene like propene takes place against Markowni- koff’s rule. As per Anti Markownkoff’s rule, the addition of HBr to an unsymmetrical alkene like propene takes place in such a way that the hydrogen atom becomes attached to the carbon atom with the fewer hydrogen atoms.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 117
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 118
The 2° free radical is more stable than 1°. Therefore. 1 – bromopropane is major product.

Question 32.
How would you convert benzene in to following compounds ?
a) Chioro benzene
b) Toluene
c) p – nitrotoluene.
Answer:
a) Benzene reacts with chlorine inpresence of FeCl3 to form chlorobenzene.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 119
b) Benzene reacts with methyl chloride in presence of AlCl3 to form toluene (Friedal Craft’s alkylation)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 120
c) From benzene p – nitro Toluene is obtained as follows.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 121

Question 33.
Why is wurtz reaction not preferred for the preparation of alkanes containing odd number of carbon atoms ? Illustrate with one example.
Answer:
Wurtz reaction Alkyl halides reacts with sodium metal in presence of dry ether to form higher alkanes.
R – X + 2Na + R – X AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 122 R – R + 2NaX

  • Wurtz reaction is preferred to prepare even no.of Carbons containing alkanes but not for odd no.of Carbons containing Alkanes.
  • For getting odd no.of Carbons containing alkanes we have to consider two different alkyl halides.

The products obtained are in mixture form, So the percentage of the desired hydrocarbon is less, i.e., yield of the desired product is low.
Methane can not be prepared by this reaction.

Question 34.
Write the equations involved in the detection of Nitrogen, Halogens and sulphur in organic compounds.
Answer:
Lassaigne’s Test : –

  • A small dry sodium piece is taken in a fusion tube and heated gently till the sodium melts.
  • To this molten sodium a small amount of organic compound is added and heated until it changes red hot.
  •  This red hot tube is plunged in a china dish containing water and this content is boiled, cooled and filtered.
  • The obtained filtrate is known as Lassaigne’s extract.
  • This test is used to detect the elements Nitrogen, Sulphur, halogens etc..

Detection of Nitrogen : –
The Lassaigne’s extract is made alkaline by adding few drops of dol. NaOH. to this freshly prepared FeSO4 solution is added and warmed then few drops of FeCl3 are added followed by acidification with Cone. HCl (or) H2SO4. A bluish green colouration indicates the nitrogen.
Na + C + N →NaCN
2NaCN + FeSO4 → Na2SO4 + Fe (CN)2
Fe(CN)2 + 4NaCN → Na4 [Fe(CN)6]
3Na4 [Fe(CN)6] + 4FeCl3 → Fe4 [Fe(CN)6]3 + 12 NaCl (Prussian blue colouration)

b) Detection of Halogens : The sodium fusion extract is acidified with HNO3 and is treated with AgNO3 solution.
Ag + X → AgX

  • White PPt indicates ClΘ ion
  • Pale yellow PPt indicates BrΘ ion
  • Yellow PPt indicates IΘ ion

c) Detection of Sulphur : To the sodium extract freshly prepared sodium nitroprusside solution. A deep violet colouration takes place.
S-2 + [Fe(CN)5NO]2+ → [Fe(CN)5 NOS]4- Violet

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 35.
Explain how carbon and Hydrogen are quantitatively determined in an organic compound.
Answer:
Estimation of carbon and hydrogen : Both the elements are estimated in the same experiment simultaneously. A known weight of the organic substance is taken and completely burnt in excess of air and copper (II) oxide carbon changes to CO2 and Hydrogen to H2O.
CxHy + (x + \(\frac{y}{4}\))O2 → x CO2 + (\(\frac{y}{2}\)) H2O
CO2 and H2O SO obtained are passed through already weighed ‘U‘ – tubes containing anhy, CaCl2 and caustic potash respectively. The increased weigh is of these two tubes give the weigh of H2O formed and weight of CO2 formed.
Suppose ‘a’ g of organic compound on combustion gives ‘b’ grams of water vapour and. ‘C g of CO2. Then
% g of Carbon = \(\frac{12}{44}\) × \(\frac{100}{a}\) × C g
% g of Hydrogen = \(\frac{2}{18}\) × \(\frac{100}{a}\) × b g

Question 36.
How do you determine sulphur, phosphorous and Oxygen are determined quantitatively in an organic compound ?
Answer:
Estimation of phosphorus : Known mass of organic compound (‘a’ gm) is heated with fuming HNO3 in a carius tube. ‘P’ is oxidised to H3PO4 acid. This acid is precipitated as ammonium phosphomolybdate (‘b’ gm) by adding ammonia and ammonium molybdate solutions.
% g of phosphorus = \(\frac{100}{a}\) × \(\frac{b}{1877}\) × 31 gm
Molecular mass of (NH4)3 PO4. 12 MO O3 (ammonium phosphomoly bdate) = 1877
Estimation of sulphur : Known mass of organic compound (‘a’ gm) is heated with sodium peroxide in a carius tube. If sulphur is present it is oxidised to sulphuric acid. The acid is precipitated as barium sulphate (big) by adding excess of aq. BaCl2 solution. The ppt. is filtered, washed, dried and weighed.
%g of sulphur = \(\frac{100}{a}\) × \(\frac{b \times 32}{233}\) × g
Molecular mass of BaSO4 = 233
Estimation of Oxygen : The percentage of oxygen in an organic compound is usually found by difference between the total percentage composition (100) and the sum of the percentages of all other elements. However, oxygen can also be estimated directly as follows :

A definite mass of an organic compound is decomposed by heating in a stream of nitrogen gas. The mixture of gaseous products containing oxygen is passed over red-hot coke when all the oxygen is converted to carbon monoxide. This mixture is passed through warm iodine pentoxide (I2O5) when carbon monoxide is oxidised to carbon dioxide producing iodine.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 123
On making the amount of CO produced in equation (A) equal to the amount of CO used in equation (B) by multiplying the equations (A) and (B) by 5 and 2 respectively; we find that each mole of oxygen liberated from the compound will produce two moles of carbondioxide.
Thus 88 g carbon dioxide is obtained if 32 g oxygen is liberated.
Let the mass of organic compound taken be mg
Mass of carbon dioxide produced be m1 g
∴ m1 g carbon dioxide is obtained from \(\frac{32 \times m_1}{88}\) g O2
∴ Percentage of oxygen = \(\frac{32 \times m_1 \times 100}{88 \times m}\)%

Question 37.
Explain Carius method for the determination of Halogens quantitatively in an organic compound.
Answer:
Estimation of halogens : (Carius method) Known mass of organic compound is heated with framing nitric acid in the presence of AgNO3 in a hard glass tube called carius tube. Carbon and hydrogen of the compound are oxidised to CO2 and H2O. Halogens forms silver halide. So obtained silver halide (Agx) is filtered, washed, dried and weighed.
% g of halogen = \(\frac{100 \times b \times \text { atomic mass of ‘ } x \text { ‘ }}{a \times \text { molecular mass of } \mathrm{Agx}}\)
Where, a = mass of organic compound, b = mass of Agx formed
x = halogen atom.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 38.
What is carcinogenicity ? Explain with two examples.
Answer:
Benzene and several polynuclear hydrocarbons like 1, 3 – benzanthracene, 3 – methyl cholanthrene, 1, 2- benzpyrene etc., are toxic and said to carcinogenic (cancer producing).
Most of these are formed due to incomplete combustion of tobacco, coal, petroleum etc.
They undergo various chemical changes in human body and finally damage DNAto cause cancer.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 124

Solved Problems

Question 1.
How many a and it bonds are present in each of the following molecules?
(a) HC ≡ CCH = CHCH3
(b) CH2 = C = CHCH3
Solution:
(a) σC-C : 4; σC-H : 6; πC=C: 1 ; π C ≡ C : 2
(b) σC-C : 3; σC-H : 6; πC=C : 2.

Question 2.
What is the type of hybridisation of each carbon in the following compounds?
(a) CH3Cl
(b) (CH3)2CO
(c) CH3CN,
(d) HCONH2
(e) CH3CH = CHCN
Solution:
(a) sp3,
(b) sp3, sp2,
(c) sp3, sp,
(d) sp2,
(e) sp3, sp2, sp2, sp

Question 3.
Write the state of hybridisation of carbon in the following compounds and shapes of each of the molecules.
(a)H2C = O,
(b) CH3F,
(c) HC ≡ N.
Solution:
(a) sp2 hybridised carbon, trigonal planar;
(b) sp3 hybridised carbon, tetrahedral;
(c) sp hvbridised carbon, linear.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 4.
Expand each of the following condensed formulas into their complete structural formulas.
(a)CH3CH2COCH2CH3
(b) CH3CH = CH(CH2)3CH3
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 125

Question 5.
For each of the following compounds, write a condensed formula and also their bond – line formula.
(a) HOCH3CH2CH2CH(CH3)CH(CH3)CH3
(b)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 126
Solution:
Condensed formula:
(a) HO(CH2)3CH(CH3)CH(CH3)2
(b) HOCH(CN)2
Bond-line formula :
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 127

Question 6.
Expand each of the following bond-line formulas to show all the atoms including carbon and hydrogen.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 128
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 129

Question 7.
Structures and IUPAC names of some hydrocarbons are given below. Explain why the names given in the parentheses are incorrect.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 130
Solution:
(a) Lowest locant number, 2, 5, 6 is lower than 3, 5, 7,
(b) substituents are in equivalent position; lower number is given to the one that comes first in the name according to alphabetical order.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 8.
Write the IUPAC names of the compounds i-iv from their given structures.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 131
Solution:

  • The functional group present is an alcohol (OH). Hence the suffix is ‘-01’.
  • The longest chain containing – OH has eight carbon atoms. Hence the corresponding saturated hydrocarbon is octane.

The – OH is on carbon atom 3. In addition, a methyl group is attached at 6th carbon. Hence, the systematic name of this compound is 6-Methyloctan-3-ol.

i)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 132
Solution:
The functional group present is ketone (>C = 0), hence suffix ‘-one’. Presence of two keto groups is indicated by ‘di’, hence suffix becomes ‘dione’. The two keto groups are at carbons 2 and 4. The longest chain contains 6 carbon atoms, hence, parent hydrocarbon is hexane. Thus, the systematic name is Hexane – 2, 4 – dione.

ii)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 133
Solution:
Here, two functional groups namely ketone and carboxylic acid are present. The principal functional group is the cat ooxyuc acid group; hence the parent chain will be suffixed with ‘oic’ acid. Numbering of the chain starts from carbon of – COOH functional group. The keto group in the chain at carbon 5 is indicated by ‘oxo’. The longest chain including the principal functional group has 6 carbon- atoms; hence the parent hydrocarbon is hexane. The compound is, therefore, named as 5 Oxo- hexanoic acid.

iii)
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 134
Solution:
The two C=C functional groups are present at carbon atoms 1 and 3, while the C = C functional group is present at carbon 5. These groups are indicated by suffixes ‘diene’ and ‘yne’ respectively. The longest chain containing the functional groups has 6 carbon atoms; hence the parent hydrocarbon is hexane. The name of compound, therefore, is Hexa-1, 3-dien-5-yne.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 9.
Derive the structure of
(i) 2-Chlorohex- ane,
(ii) Pent-4-en-2-ol,
(iii) 3- Nitro-cydohexerte,
(iv) Cyclohex-2-en-l-ol,
(v) 6-Hydroxy-heptanal.
Solution:
(i) ‘hexane’ indicates the presence of 6 carbon atoms in the chain The functional group chloro is present at carbon 2. Hence, the structure of the compound is CH3CH2CH2CH2CH(Cl)CH3.

(ii) ‘pent’ indicates that parent hydrocarbon contains 5 carbon atoms in the chain, ‘en’ and ‘ol’ correspond to the functional groups C=C and -OH at carbon atoms 4 and 2 respectively. Thus, the structure is CH2 = CHCH2CH (OH)CH3.

(iii) Six membered ring containing a carbon- carbon double bond is implied by cyclo-hexene, which is numbered as shown in (I). The prefix 3-nitro means that a nitro group is present on C-3. Thus, complete structural formula of the compound is (II). Double bond is suffixed functional group whereas -NO2 is prefixed functional group therefore double bond gets preference over -NO2 group:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 135
(iv) ‘1 -0l’ means that a -OH group is present at C-1. OH is suffixed functional, group and gets preference over C = C bond. Thus the structure is as shown in (II) :
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 136
(v) ‘heptanal’ indicates the compound to be an aldehyde containing 7 carbon atoms in the parent chain. The ‘6-hydroxy’ indicates that -OH group is present at carbon 6. Thus, the structural formula of the compound is : CH3CH(OH)CH2CH2CH2CH2CHO. Carbon atom of – CHO group is included while numbering the carbon chain.

Question 10.
Write the structural formula of :
(a) o-Ethylanisole
(b)p-Nitroaniline,
(c) 2,3 – Dibromo -1 – phenylpentane,
(d) 4-Ethyl – 1 – fluoro-2-nitrobenzene.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 137
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 138

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 11.
Using curved-arrow notation, show the formation of reactive intermediates when the following covalent bonds undergo heterolytic cleavage.
(a) CH3 – SCH3,
(b) CH3 – CN,
(c) CH3 – Cu
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 139

Question 12.
Giving justification, categorise the fol-lowing molecules/ions as nucleophile or electrophile :
HS, BF3, C2H5O, (CH3)3 N :,
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 140
Solution:
Nucleophiles: HS, C2H5O, (CH3)3 N:, H2N These species have unshared pair of electrons, which can be donated and shared with an electrophile.
Electrophiles: AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 141
Reactive sites have only six valence electrons; can accept electron pair from a nucleophile.

Question 13.
Identify electrophilic centre in the fol-lowing: CH3CH = O, CH3CN, CH3I.
Solution:
Among AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 142, the starred carbon atoms are electrophilic centers as they will have partial positive charge due to polarity of the bond.

Question 14.
Which bond is more polar in the following pairs of molecules:
(a) H3C – H, H3C – Br
(b) H3C – NH2, H3C – OH
(c) H3C – OH, H3C – SH
Solution:
(a) C – Br, since Br is more electronegative than H, (b) C – O, (c) C – O

Question 15.
In which C – C bond of CH3CH2CH2Br, the inductive effect is expected to be the least ?
Solution:
Magnitude of inductive effect diminishes as the number of intervening bonds increases. Hence, the effect is least in the bond between . carbon-3 and hydrogen.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 16.
Write resonance structures of CH3COO and show the movement of electrons by curved arrows.
Solution:
First, write the structure and put unshared pairs of valence electrons on appropriate atoms. Then draw the arrows one at a time moving the electrons to get the other structures.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 143

Question 17.
Write resonance structures of CH2 = CH – CHO. Indicate relative stability of the contributing structures.
Solution:
[I: Most stable, more number of covalent
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 144
bonds, each carbon and oxygen atom has an octet and no separation of opposite charge II: negative charge on more electronegative atom and positive charge on more electropositive atom; III: does not contribute as oxygen has positive charge and carbon has negative charge, hence least stable].

Question 18.
Explain why the following two structures, I and 11 cannot be the major contributors to the real structure of CH3COOCH3.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 145
Solution:
The two structures are less important contributors as they involve charge separation. Additionally, structure I contains a carbon atom with an incomplete octet.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 19.
Explain why AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 146 is more stable than AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 147 and AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 148 is the least stable cation.
Solution:
HyperconjugatiOn interaction in AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 146 is greater than in AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 147 as the AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 146 has nine C – H bonds. In AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 148, vacant p orbital is perpendicular to the plane in which C – H bonds lie; hence cannot overlap with it. Thus, AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 148 laoks hyper conjugative stability.

Question 20.
On complete combustion, 0.246 g of an organic compound gave 0.1989/ of carbon dioxide and 0.10149 of water. Determine the percentage composition of carbon and hydrogen in the compound.
Solution:
Percentage of carbon = \(\frac{12 \times 0.198 \times 100}{44 \times 0.246}\)
= 21 .95%
Percentage of hydrogen = \(\frac{2 \times 0.1014 \times 100}{18 \times 0.246}\)
= 4.58%

Question 21.
In Dumas’ method for estimation of nitrogen, 0.3g of an organic compound gave 5OmL of nitrogen collected at 300K temperature and 715mm pressure. Calculate the percentage composition of nitrogen in the compound. (Aqueous tension at 300K = 15 mm)
Solution:
Volume of nitrogen collected at 300K and 715mm pressure is 50 mL
Actual pressure = 715 – 15 = 700 mm
Volume of nitrogen at STP = \(\frac{273 \times 700 \times 50}{300 \times 760}\)
= 41.9 ML
22,400 ml of N2 at STP weighs = 28 g
41.9 mL of nitrogen weighs = \(\frac{28 \times 41.9}{22400}\) g
Percentage of nitrogen = \(\frac{28 \times 41.9 \times 100}{22400 \times 0.3}\)
= 17.46%

Question 22.
During estimation of nitrogen present in an organic compound by Kjeldahl’s method, the ammonia evolved from 0.5 g of the compound in Kjeldahl’s estimation of nitrogen, neutralized 10 mL of 1 M H2SO4. Find out the percentage of nitrogen in the compound?
Solution:
1 M of 10 mL H2SO4 = 1 M of 20 mL NH3 1000 mL of 1 M ammonia contains 14 g nitrogen
20 ml of 1 M ammonia contains \(\frac{14 \times 20}{1000}\) g nitrogen
Percentage of nitrogen = \(\frac{14 \times 20 \times 100}{1000 \times 0.5}\)
= 56.0%

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 23.
In Canus method of estimation of halogen1 0.15 g of an organic compound gave 0.12 g of AgBr. Find out the percentage of bromine in the compound.
Solution:
Molar mass of AgBr = 108 + 80
= 188 g mol-1
188 g AgBr contains 80 g bromine
0.12 g AgBr contains \(\frac{80 \times 0.12}{188}\) g bromine
Percentage of bromine = \(\frac{80 \times 0.12 \times 100}{188 \times 0.15}\)
= 34.04%

Question 24.
In sulphur estimation, 0.157 g of an organic compound gave 0.4813 g of barium sulphate. What is the percentage of sulphur in the compound ?
Solution:
Molecular mass of BaSO4 = 137 + 32 + 64
= 233g
233 g BaSO4 contains 32 g sulphur
0.4813 g BaSO4 contains \(\frac{32 \times 0.4813}{233}\) g sulphur
Percentage of sulphur = \(\frac{32 \times 0.4813 \times 100}{233 \times 0.157}\)
= 42.10%

Question 25.
Write structures of different chain isomers of alkanes corresponding to the molecular formula C6H14. Also write their IUPAC names.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 149

Question 26.
Write structures of different isomeric alkyl groups corresponding to the molecular formula C5H11. Write IUPAC names of alcohols obtained by attachment of -OH groups at different carbons of the chain.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 150

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 27.
Write IUPAC names of the following compounds :

  1. (CH3)3 C CH2C(CH3)3
  2. (CH3)2 C(C2H5)2
  3. tetra – tert-butylmethane

Solution:

  1. 2, 2, 4, 4-Tetramethylpentane
  2. 3 3-Dimethylpentane
  3. 3, 3-Di-tert-butyl -2, 2, 4, 4 – tetramethylpentane

Question 28.
Write structural formulas of the following compounds:
(i) 3, 4, 4, 5-Tetramethylheptane
(ii) 2, 5-Dimethyhexane
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 151

Question 29.
Write structures for each of the following compounds. Why are the given names incorrect? Write correct IUPAC names.
(i) 2-Ethylpentane
(ii) 5-Ethyl – 3-methylheptane
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 152
Longest chain is of six carbon atoms and not that of five. Hence, correct name is 3-Methyl- hexane.
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 153
Numbering is to be started from the end which gives lower number to ethyl group. Hence, correct name is 3-ethyl-5-methyl-heptane.

Question 30.
Sodium salt of which acid will be needed for the preparation of propane? Write chemical equation for the reaction.
Solution:
Butanoic acid,
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 154

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 31.
Write IUPAC names of the following compounds:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 155
Solution:
(i) 2, 8 – Dimethyl – 3, 6 – decadiene;
(ii) 1, 3, 5, 7 Octatetraene;
(iii) 2 – n – Propylpent – 1 – ene;
(iv) 4 – Ethyl – 2, 6 – dimethyl – dec – 4 – ene;

Question 32.
Calculate number of sigma (σ) and pi (π) bonds in the above structures (i-iv).
Solution:
σ bonds : 33, π bonds : 2
σ bonds: 17, π bonds:4
σ bonds : 23, π bond : 1
σ bonds: 41, π bond : 1

Question 33.
Write structures and IUPAC names of different structural isomers of alkenes corresponding to C2H10.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 156

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 34.
Draw cis and trans isomers of the following compounds. Also write their IUPAC names:
(i) CHCl = CHCl
(ii) C2H5CCH3 = CCH3C2H5
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 157

Question 35.
Which of the following compounds will show cis-trans isomerism ?
(i) (CH3)2C = CH – C2H5
(ii) CH2 = CBr2
(iii) C6H5CH = CH – CH3
(iv) CH3CH = CCl CH3
Solution:
(iii) and (iv). In structures (i) and (ii), two identical groups are attached to one of the doubly bonded carbon atom.

Question 36.
Write IUPAC names of the products obtained by addition reactions of HBr to hex- 1-ene
(i) in the absence of peroxide and
(ii) in the presence of peroxide.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 158

Question 37.
Write structures of different isomers corresponding to the 5th member of alkyne series. Also write IUPAC names of all the isomers. What type of isomerism is exhibited by different pairs of isomers ?
Solution:
5th member of alkyne has the molecular formula C6H10. The possible isomers are :
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 159
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 160
Position and chain isomerism shown by different pairs.

AAP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques

Question 38.
How will you convert ethanoci acid into benzene?
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 13 Organic Chemistry-Some Basic Principles and Techniques 161

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 12th Lesson Environmental Chemistry Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 12th Lesson Environmental Chemistry

Very Short Answer Questions

Question 1.
Define the terms atmosphere and biosphere.
Answer:
Atmosphere: The blanket of gases present around the earth is called the atmosphere. It maintains the heat balance on earth. The atmosphere contains nitrogen and oxygen in large proportions.

Biosphere: Living organisms like plants, animals, and human beings constitute the biosphere.
The biosphere is related to other environment segments.

Question 2.
Explain the terms Lithosphere and Hydrosphere.
Answer:
Lithosphere : The outer mantle of the solid earth consists of minerals present in earth gust and soil. The earth inner surface contains minerals and deeper inner layers contain natural gas and soil. Mountains and hills these are all constitutes lithosphere.

Hydrosphere : All the natural water resources together constitute the hydrosphere. Hydrosphere include oceans, seas, rivers, lakes, streams etc.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 3.
Define the term Soil Pollution.
Answer:
The concentration (or) accumulation of natural bodies is called as soil. Soil gets polluted due to industrial wastes, urban wastes, agricultural pollutants, chemical, radio active pollutants etc.

Question 4.
What is Chemical Oxygen demand (COD).     [A.P. Mar. 16] [Mar. 14]
Answer:
The amount of oxygen required to oxidise organic substances present in polluted water is called Chemical Oxygen Demand (COD).
It is an index for amount of organic substances present in water.

Question 5.
What is Bio Chemical Oxygen Demand (BOD) ? [A.P. Mar. 16] [Mar. 14]
Answer:
The amount of oxygen used by the suitable micro organisms present in water during five days at 20° C is called as Bio Chemical Oxygen Demand (BOD).

Question 6.
What are Troposphere and Stratosphere ?
Answer:
Troposphere : The major portion of the atmosphere which contains air is called troposphere.
It is present 0-11 Km from the earth.

Stratosphere : Stratosphere present 11 – 50 Km from the earth and it mainly contains ozone layer. It absorbs the harmful UV radiations coming from sun.

Question 7.
Name the major particulate pollutants present in Troposphere.
Answer:
The major particulate pollutants present in troposphere are dust, mist, fumes, smoke, smog etc.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 8.
List out four Gaseous Pollutants present in the polluted air.
Answer:
Oxides of Sulphur,Nitrogen and Carbon, Ozone, Hydrocarbons etc., are gaseous pollutants present in polluted air.

Question 9.
Green house effect is caused by and gases.
Answer:
Green house effect is caused by gases such as CO2, CH4, O3, CFCs (Chloro Fluoro Carbons) and water vapour in the atmosphere.

Question 10.
Which oxides cause acid rain ? and What is its pH value ? [Mar. 13]
Answer

  • Oxides of Nitrogen, Sulphur and Carbon dissolved in rain water forms acid rain.
  • Acid rain has pH value lessthan 5.6.

Question 11.
Name two adverse effects caused by acid rains. [A.P. Mar. 16] [T.S. Mar. 15]
Answer:
Effects of acid rains

  • Acid rains are harmful for agriculture, trees and plants because it dissolves and washes away nutrients needed for their growth.
  • Acid rains affects the plants and animal life in aquatic ecosystem.
  • Acid rains damages the old buildings and historical monuments like Taj mahal.
  • Acid rains corrodes water pipes which lead to decrease the quality of drinking water.

Question 12.
What are smoke and mist ?
Answer:
Smoke : The solid particles (or) mixture of solid and liquid particles formed by the combustion of organic matter are called smoke particulates.
Eg : Cigarette smoke, oil smoke etc.

Mist: The particles produced by the spray liquids and by condensation of vapours in air is called mist.
Eg : H2SO4 – mist, herbicides, insecticides etc.
These miss their targets and travel through atmosphere to form mist.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 13.
What is classical smog ? and What is its Chemical Character (Oxidizing / reducing) ?
Answer:

  • The mixture of smoke, fog and sulphur dioxide is called classical smog. It exists in cool humid climate.
  • The chemical character of classical smog is reducing character. Hence it is also called as reducing smog.

Question 14.
Name the common components of Photo Chemical smog.
Answer:
The common components of Photo Chemical smog are O3, NO, acrolein, formaldehyde and Peroxy Acetyl Nitrate (PAN).

Question 15.
What is PAN ? What effect is caused by it ?
Answer:

  • Peroxy Acetyl Nitrate is called as PAN.
  • Peroxy Acetyl Nitrate is (PAN) is a powerful eye irritant.

Question 16.
How is Ozone formed in the Stratosphere ?
Answer:

  • UV radiations react with dioxygen (O2) molecules and split into free oxygen (O) atoms. These free oxygen atoms (0) combined to form ozone molecule.
  • The following are the reactions that takes place during the formation of ozone in stratosphere.
    AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 1

Question 17.
Give the Chemical equations involved in the Ozone depletion by CF2Cl2.
Answer:
CF2Cl2 which is released in the atmosphere mix with the normal atmospheric gases and reaches the stratosphere.

  • In stratosphere CF2Cl2 react with powerful UV radiations and liberates chlorine free radicals.
    AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 2
  • These chlorine radical reacts with ozone present in stratosphere to form chlorine monoxide radicals and molecular dioxygen.
    Cl* + O3 → ClO* + O2
  • ClO radical react with atomic oxygen and produce more Cl – radicals.
    ClO* + O → Cl* + O2

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 18.
What is Ozone hole ? Where was it first observed ?
Answer:
The depletion of ozone layer is commonly known as ozone hole.

  • It was first observed in Antarctica over the south pole.
  • It was reported by atmospheric scientists working in Antarctica.

Question 19.
What is the value of dissolved Oxygen in pure cooled, water ?
Answer:
The value of dissolved oxygen in pure cooled water is around 10 ppm.

Question 20.
Give the possible BOD values of clean water and the polluted water.
Answer:

  • The BOD value of clean water is less than 3 ppm.
  • The BOD value of water is greaterthan 4 ppm then it is said to be polluted.
  • Highly polluted water has BOD value more than 17 ppm.

Question 21.
Name three industrial Chemicals that pollute water.
Answer:
Detergents, paints, pesticides, dyes and pharmaceuticals etc.

Question 22.
What agrochemicals are responsible for water pollution ?
Answer:
Agrochemicals like chemical fertilisers, chemicals used for killing insects, fungi and weeds in crop etc., are responsible for water pollution.

Short Answer Questions

Question 1.
What are different segments of the earth’s environment ?
Answer:
Environment can be divided into four segments.

  1. Atmosphere
  2. Hydrosphere
  3. Lithosphere
  4. Biosphere

1) Atmosphere : The layer of air present around the Earth is called the atmosphere. The atmospheric air contains N2 and O2 in large proportions, while the rest of the gases like C02 are present only in smaller proportions. Atmosphere absorbs harmful radiations coming from the Sun. It plays an important role in maintaining the heat balance on Earth. If the proportions of the gases, especially O2 and N2 are disturbed by human activity, the equilibrium of the echo system is lost. It leads to disastrous consequences.

2) Hydrosphere : Hydrosphere includes all the surface and ground water resources i.e., oceans, rivers, lakes, polar ice caps etc., 97% of earth’s water is locked up in oceans. 3% is trapped in polar ice caps. Only small percentage of water is available for drinking, agricultural and industrial purpose. 80% of the earth’s surface is covered with water.

3) Lithosphere : One fifth of the total Earth surface is in the form of land. Inner layers of Earth contain minerals. Deeper inner layers of Earth contain Natural gas and oil. All these things, including hills and mountains come under Lithosphere. Plants, animals and human beings are occupied by it.

4) Biosphere : All living organisms like plants, animals and human beings constitute the Biosphere. Biosphere and other segments of the environment are interrelated. Biosphere is dependent on Atmosphere and Hydrosphere. Polluted atmosphere arrest the plant growth and bring health hazards among animals and human beings. Contaminated water causes many diseases and also death of aquatic animals.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 2.
Define the terms Sink, COD, BOD and TLV. [T.S. Mar. 16]
Answer:
Sink : The medium which retains and interacts with long lived pollutant is called the sink.
Eg : Oceans are important sinks for atmospheric CO2.

COD : The amount of oxygen required to oxidise organic substances present in polluted water is called Chemical Oxygen Demand (COD).
It is an index for amount of organic substances present in water.

BOD : The amount of oxygen used by the suitable micro organisms present in water during five days at 20° C is called as Bio Chemical Oxygen Demand (BOD).

TLV : (Threshold Limit Value): The permissiable level of the toxic substances (or) pollutants in the atmosphere which affects a person adversly when he is exposed to this for 7 – 8 hrs. in a day is called TLV.

Question 3.
Name the gaseous pollutants present in the air and explain their formation.
Answer:
Gaseous pollutants present in air are
a) Oxides of sulphur
b) Oxides of nitrogen
c) Oxides of carbon
d) Hydro carbons

a) Oxides of sulphur :

  • The oxides of sulphur formed by the fossil fuel containing sulphur are burnt.
    S + O2 → SO2
  • Sulphur dioxide oxidises to form sulphur trioxide in presence of catalyst.
    2SO2 + O2 ⇌ 2SO3
  • Sulphur trioxide can also be formed by the reaction of SO2 with O3 (or) H2O2.
    SO2 + O3 ⇌ SO3 + O2
    SO2 + H2O2 → H2SO4
  • SO2 is the most common oxide and causes the following adverse effects.
    a) It causes respiratory problems like asthma, bronchitis etc.
    b) It is poisonous to both animals and plants.
    c) It causes irritation to the eyes which results in tears and redness.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

b) Oxides of nitrogen :
The major gases present in air are oxygen and nitrogen.

  • These do not combine at normal temperature.
  • Dinitrogen and dioxygen combined at high altitudes in presence of light to form oxides of nitrogen.
    AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 3
  • No reacts with oxygen to form NO2.
    2NO + O2 → 2NO2
  • NO2 is quickly formed by the reaction of NO with O3.
    NO + O3 → NO2 + O2

Adverse Effects

  • NO2 damages the leaves of plants and effects the efficiency of photosynthesis.
  • NO2 causes lung problems.
  • NO2 causes respiratory problems.
  • NO2 affects the textile fibres and metals.

c) Oxides of carbon : –
i) Carbon monoxide (CO)

  • CO is one of the most harmful air pollutants.
  • CO gas is produced by the incomplete combustion of carbon (coal, firewood, petrol etc.)
    C(s) + \(\frac{1}{2}\)O2(g) → C0(g)
  • CO is mainly released into atmosphere by automobiles.

Adverse effects :

  • It stops the transportation of oxygen to the organs and tissues.
  • When it is inhaled by a human being it forms stable complex with haemoglobin of blood. This complex is named as carboxy haemoglobin.
    CO + Hb → CO – Hb
  • This reduces the oxygen transportation in body and results into headache, eye problems, nerveous problems and heart problems.

ii) Carbondioxide :

  • CO2 is entered into atmosphere mainly by respiration process.
  • CO2 is also formed by the burning of fossil fuels.
    C + O2 → CO2 + heat energy
  • CO2 is formed by the decomposition of lime stone.
    CaCO3 AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 4 Cao + CO2

Effects :

  • Due to deforestation and burning of fossil fuels increases CO2 release and the balance O2 – CO2 in atmosphere disturbed.
  • The increased level of CO2 causes global warming which causes several problems like dengue, malaria etc.
  • Due to global warming efficiency of photosynthesis decreases.

d) Hydrocarbons:

  • These mainly constitutes hydrogen and carbon.
  • These are formed by the incomplete combustion of fuel used in auto mobiles.

Adverse Effects:

  • These cause cancer.
  • These are harmful to plants causing ageing, break down of tissues, flowers and leaves are shedded.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 4.
What is green house effect ? and how is it caused ?
Answer:
a) Global Warming : The Earth is heated by sunlight and some of the heat that is absorbed by the Earth is radiated back into space. But some gases like CO2, CFCs, O3, NO and water vapour present in the lower atmosphere do not allow the Earth to re-radiate the heat into space. A part of the heat so trapped in these atmospheric gases is re-emitted to the earth’s surface. This phenomenon is called the “Green house effect” (or) Global Warming.
The gases which are responsible for Green house effect are CO2, CFC’s, O3, NO, CH4 water vapour etc. and they are termed as Green house gases. The effect of increase in CO2 causes global warming.

b) Effects of global warming :

  1. If there is a 1° C increase in the temperature, the ice caps of the polar region melt and level of the sea water increases by 90 cm. Due to this, so many coastal countries will be submerged.
  2. Due to global warming, the rate of evaporation of water from the seas, rivers, ponds will increase. This leads to ultimately rains, cyclones and hurricanes.
  3. Agriculture sector will be badly affected due to the fast evaporation of surface water. There will be a shortage in the supply of water for agricultural purpose.
  4. Unseasonal rains.
  5. Increase the infectious diseases like dengue, malaria, yellow fever, sleeping sickness etc.

Prevention : To reduce the level of CO2 on the earth’s atmosphere, one must increase the number of sinks to absorb CO2. Plants absorb a major portion of the CO2. Therefore, more plants, trees, forests should be grown. The blue green algae present in the sea also gets extinct, due to water pollution. This should be prevented stopping the production of CFC etc.

Question 5.
Explain, with Chemical equations involved, the formation of acid rain.
Answer:
Acid rains are due to oxides of N, S and C (NO2, SO2 and CO2).

  • These oxides dissolve in rain water and formed as acids (HNO3, H2SO4 and H2CO3).
  • These come down to earth as rain and deposited on the earth’s surface.
  • Acid – rain is more in industrial areas.

Chemical equations involved
NO2 + NO3 → N2O5
N2O5 + H2O + 2HNO3
CO2 + H2O → H2CO3
SO3 + H2O → H2SO4
The pH of acid rain is less than 5.6.

Question 6.
Explain in detail the adverse effects caused by the acid rain.
Answer:
Acid rains are harmful because

  1. The life of old buildings will be considerable reduced.
  2. The pH of the soil changes affecting its fertility.
  3. Ammonium salts formed by acid rains can be seen as atmospheric haze.
  4. Ammonium salts in rain drops result in wet decomposition.
  5. Acid rains are harmful to agriculture, trees, plants etc.
  6. Due to acid rains aquatic life disturbed.
  7. Due to acid rains the historical monuments like Tajmahal are damaged.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 7.
How is Photochemical Smog formed ? What are its ill effects ?
Answer:

  • When unsaturated hydrocarbons and nitrogen oxides produced from auto mobiles, factories reacts with sunlight and forms photo chemical smog.
  • This occurs in warm, dry and hot climate.
  • This has high concentration of oxidising agents. Hence it is called as photo chemical smog.

Formation :

  • Fossil fuels are burnt, many pollutants are entered into troposphere.
  • Out of these many pollutants two pollutants are main constituents of photo chemical smog. These are hydrocarbons and nitric oxide.
  • These pollutants interacts with sun light and following reaction takes place.
    2NO(g) + O2(g) → 2NO2(g)
    NO2(g) → NO(g) + O(g)
  • This oxygen atoms formed in the above reaction combine with O2 to produce ozone.
    O(g) + O2(g) ⇌ O3(g)
    NO(g) + O3(g) → NO2(g) + O2(g)
  • O3 is poisonous gas and both NO2 and O3 are strong oxidising agents.
  • These react with unburnt hydro carbons in the polluted air to produce organic substances like HCHO, PAN etc.
  • The common components of photo chemical smog are ozone, NO, acrolein, form aldehyde and PAN.

Question 8.
How is Ozone layer depleted in the atmosphere and what are the harmful effects caused by Ozone layer depletion ? [T.S. Mar. 16] [A.P. Mar. 15]
Answer:

  • Ozone layer is present in stratosphere of the atmosphere.
  • Ozone in the stratosphere is due to the following reactions.
    AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 5
  • But due to industrialisation, certain chemical substances enter into stratosphere and destroy the ozone.
  • The following are the major substances that causes depletion of ozone layer.
    1. CFCs (Chloro fluoro carbons (or) freons)
    2. NO
    3. Cl2 (Chlorine)
  • CFCs are colourless, odourless, lighter, non flammable, non toxic organic molecules which are used in refrigeratos, air conditioners, in the manufacturing of plastic foam and for cleaning computer parts.
  • These CFCs enter in the stratosphere and deplete the ozone as follows.
    AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 6
  • Chlorine radicals (Cl*) are continuously generated and decompose O3.
  • NO released by super sonic jet planes and that formed by burning fossil fuels enters into stratosphere and decompose ozone.
  • Cl2 decompose into Cl* radicals and these Cl* deplete O3 by chain reactions.

Effects of depletion of the ozone layer (ozone hole): Due to depletion of ozone more U.V. enters into troposphere. This UV radiation leads to

  1. ageing of skin
  2. cataracts
  3. skin burns
  4. skin cancer
  5. damage to fish production
  6. killing many phytoplanktons
  7. effect plant proteins leading to the harmful mutation of cells
  8. evaporate surface water through the stomata of the leaves.
  9. decrease moisture content of the soil.
  10. damage paints, fibres, by fading them faster.
  11. effect on photo synthesis etc.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 9.
List out the industrial wastes that cause water pollution and what are the international standards fixed for drinking water ?
Answer:
Industrial wastes from food processing plants and paper and pulp mills are oxygen – demanding wastes. So they cause depletion of D.0 from the water.

Salts, trace of elements like Copper, Zinc, Arsenic etc., metals coming out of chromium plating Industry pollute water. They effect the human health and aquatic animals.

In Japan, at Minimata, water was polluted with mercury released from industry. The mercury enter the fish and the people who consumed the fish are adversely effected.

Mining and Nuclear power plant pollute the water with radioactive substances.

International standards for drinking water

Fluoride concentration:

  • The drinking water sample is tested for fluoride ion concentration. Its deficiency causes diseases like tooth decay etc.
  • The permissible level of concentration of fluoride in water is up to 1 ppm.
  • Fluoride concentration above 2 ppm causes brown mottling of teeth.
  • Fluoride concentration greater than 10 ppm causes harmful effects to bones and teeth.

Lead :

  • The prescribed upper limit of concentration limit of lead in drinking water is about 50 ppm.
  • Lead can damage kidney, liver, reproductive system etc.

Sulphate :

  • Sulphate concentration greater than 500 ppm in drinking water causes laxative effect.
    Nitrate :
  • Nitrate concentration maximum limit in drinking water is about 50 ppm.
  • Excess of nitrate in drinking causes disease such as methemoglobinemia.

Metals :

Maximum prescribed concentration of some common metals recommended in drinking water given in the following table.
Maximum prescribed concentration of Some Metals in Drinking Water.
AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 7

Question 10.
Explain in detail the strategies adopted in Green Chemistry to avoid environment pollution.
Answer:
The ways of using the knowledge and the principles of chemistry and other sciences to develop methods to reduce as far as possible the pollution of the environment are known as green chemistry.
Ex : In the dry cleaning of clothes, earlier (CCl2 = CCl2) tetrachloroethane was used. This com-pound contaminates the ground water and is a suspected carcinogen. Therefore, using this compound is replaced by a process in which liquefied carbon dioxide with a suitable detergent is used. This would not pollute ground water much. Now-a-days hydrogen peroxide is used for bleaching clothes in laundries. This gives better results and decreases the consumption of water.
Ex : Synthesis of ethanol is now commercially prepared by one step by the oxidation of ethane in presence of catalyst.
AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 8

Long Answer Questions

Question 1.
What is environmental pollution ? How many types of pollution are encountered ?
Answer:
Environmental pollution is defined as the addition of any external material like organic, Inorganic biological, radio logical (or) any change in nature which may harm (or) affect badly the living organism directly (or) indirectly, immediately (or) slowly.
The types of pollution encountered are the following :

  1. Air pollution
  2. Water pollution
  3. Soil pollution
  4. Oil pollution
  5. Noise pollution etc.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 2.
Explain the following in detail.
a) Global warming
b) Ozone depletion
c) Acid rain
d) Eutrophication.
Answer:
a) Global Warming : The Earth is heated by sunlight and some of the heat that is absorbed by the Earth is radiated back into space. But some gases like CO2, CFC’s, O3, NO and water vapour present in the lower atmosphere do not allow the Earth to re-radiate the heat into space. A part of the heat so trapped in these atmospheric gases is re-emitted to the earth’s surface. This phenomenon is called the “Green house effect” (or) Global warming.
The gases which are responsible for Green house effect are CO2, CFC’s, O3, NO, CH4 water vapour etc. and they are termed as Green house gases. The effect of increase in CO2 causes global warming.

b) Effects of depletion of the ozone layer (ozone hole) : Due to depletion of ozone more U.V. enters into troposphere. This UV radiation leads to

  1. ageing of skin
  2. cataracts
  3. skin burns
  4. skin cancer
  5. damage to fish production
  6. killing many phytoplanktons
  7. effect plant proteins leading to the harmful mutation of cells
  8. evaporate surface water through the stomata of the leaves.
  9. decrease moisture content of the soil.
  10. damage paints, fibres, by fading them faster.
  11. effect on photo synthesis etc.

c) Acid rain :

  • Acid rains are due to oxides of N, S and C.(NO2, SO2 and CO2)
  • These oxides dissolve in rain water and formed as acids. (HNO3, H2SO4 and H2CO3)
  • These come down to earth as rain and deposited on the earth’s surface.
  • Acid – rain is more in industrial areas.

Chemical equations involved:-
NO2 + NO3 → N2O5
N2O5 + H2O + 2HNO3
CO2 + H2O→ H2CO3
SO3 + H2O → H2SO4
The pH of acid rain is lessthan 5.6.

Acid rains are harmful because

  1. The life of old buildings will be considerable reduced.
  2. The pH of the soil changes affecting its fertility.
  3. Ammonium salts formed by acid rains can be seen as atmospheric haze.
  4. Ammonium salts in rain drops result in wet decomposition.
  5. Acid rains are harmful to agriculture, trees, plants etc.
  6. Due to acid rains aquatic life disturbed.
  7. Due to acid rains the historical monuments like Tajmahal are damaged.

d) Eutrophication : Water present in ponds and lakes becomes over nutritious when organic sub-stances from agriculture and industry are thrown into it. It can support the luxuriant growth of algae and thus the lakes and ponds become marshy. This phenomenon is called Eutrophication.

AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry

Question 3.
Green Chemistry is to avoid environmental pollution. Explain.
Answer:
The ways of using the knowledge and the principles of chemistry and other sciences to develop methods to reduce as far as possible the pollution of the environment are known as green chemistry.
Ex : In the dry cleaning of clothes, earlier (CCl2 = CCl2) tetrachloroethane was used. This com-pound contaminates the ground water and is a suspected carcinogen. Therefore, using this com-pound is replaced by a process in which liquefied carbon dioxide with a suitable detergent is used. This would not pollute ground water much. Now-a-days hydrogen peroxide is used for bleaching clothes in laundries. This gives better results and decreases the consumption of water.
Ex : Synthesis of ethanol is now commercially prepared by one step by the oxidation of ethane in presence of catalyst.
AP Inter 1st Year Chemistry Study Material Chapter 12 Environmental Chemistry 9
Thus green chemistry is a cost effective approach and it involves reduction in material, energy consumption and waste greneration.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements – Group 14

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 11th Lesson The p-Block Elements – Group 14 Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 11th Lesson The p-Block Elements – Group 14

Very Short Answer Questions

Question 1.
Discuss the variation of oxidation states in the group -14 elements.
Answer:

  • The common oxidation states exhibited by group-14 elements are +4 and +2.
  • Carbon exhibits negative oxidation states.
  • Heavier elements exhibits +2 oxidation state.
  • The tendency to show +2 oxidation state increases in the order Ge < Sn < pb.
  • pb exhibits +2 oxidation state as stable state because of inert pair effect.

Question 2.
How the following compounds behave with water
a) BCl3
b) CCl4.
Answer:
a) BCl3 reacts with water (hydrolysis) to form boric acid.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 1
b) CCl4 does not undergo hydrolysis due to lack of d-orbitals in the central atom ‘C1 and due to its highly non polar nature, CCl4 does not acts as Lewis acid.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 3.
Are BCl3 and SiCl4 electron-deficient compounds ? Explain.
Answer:

  • BCl3 and SiCl4 are electron-deficient compounds.
  • These two compounds behave as Lewis acids.
  • These compounds are electron pair acceptors.
  • The following reacts support the electron deficiency of BCl3 and SiCl4.
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 2

Question 4.
Give the hybridization of carbon in
a) CO3-2
b) diamond
c) graphite
d) fullerene
Answer:
a) In C03-2 carbon atom undergoes sp2 hybridisation.
b) In Diamond carbon atom undergoes sp3 hybridisation.
c) In Graphite carbon atom undergoes sp2 hybridisation.
d) In Fullerenes carbon atom undergoes sp2 hybridisation.

Question 5.
Why is’CO’poisonous ? [T.S. Mar. 16]
Answer:
‘CO’ gas is highly poisonous because it has the ability to form a stable complex with haemoglobin.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 3
Carboxy haemoglobin is 300 times more stable than oxyhaemoglobin.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 6.
What is allotropy ? Give the crystalline allotropes of carbon. [Mar. 13]
Answer:

  • The phenomenon of existence of an element in different physical forms having similar (or) same chemical properties is called allotropy.
  • Crystalline allotropes of carbon are
    a) Diamond
    b) Graphite
    c) Fullerenes.

Question 7.
Classify the following oxides as neutral, acidic, basic or amphoteric,
a) CO
b) B2O3
c) SiO2
d) CO2
e) Al2O3
f) PbO2
g) Tl2O3
Answer:
a) CO is neutral oxide.
b) B2O3 is acidic oxide.
c) SiO2 is acidic oxide.
d) CO2 is acidic oxide.
e) Al2O3 is amphoteric oxide.
f) PbO2 is amphoteric oxide.
g) Tl2O3 is basic oxide.

Question 8.
Name any two manmade silicates.
Answer:
Glass and cement are man made silicates.

Question 9.
Write the outer electron configuration of group -14 elements.
Answer:
The general outer most electronic configuration of group – 14 elements is ns2np2.
1) Carbon – [He] 2s22p2
2) Silicon – [Ne] 3s23p2
3) Germanium – [Ar] 3d104s24p2
4) Tin – [Kr] 4d10 5s2 5p2
5) Lead – [Xe] 4f4 5d10 6s2 6p2

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 10.
How does graphite function as a lubricant ?
Answer:
Graphite is soft and it has layer lattice. In this structure one of the layer slided over another due to weak Vander Waal’s force of attraction. These layers are slippery. Hence it is greasy and function as lubricant.

Question 11.
Graphite is a good conductor – explain.
Answer:
In graphite carbon undergoes sp2 hybridisation. Each carbon forms three a – bonds with three neighbouring carbon atoms. Fourth electron forms TC – bond and it is delocalised. Due to the presence of these moving (or) free electrons graphite acts as good conductor.

Question 12.
Explain the structure of silica.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 4

  • Silica is a giant molecule with 3 – dimensional structure.
  • In Silica eight membered rings are formed with alternate Silicon and Oxygen atoms.
  • Each ‘Si’ is tetrahedrally surrounded by four Oxygen atoms.
  • Each Oxygen at the vertex of the tetrahedron is shared by two Silicon atoms.
  • In SiO2 Silicon atom undergoes sp3 hybridisation.

Question 13.
What is ‘Synthesis gas’?
Answer:

  • Water gas is also called as synthesis gas.
  • It is a mixture of CO and H2.
  • It s prepared by passing steamover hot coke.
  • It is used for the synthesis of methanol and a number of hydrocarbons. Hence it is called synthesis gas.

Question 14.
What is producer gas?
Answer:

  • Producer gas is mixture of CO and N2.
  • It is prepared by passing air over hot coke.

Question 15.
Diamond has high melting point – Explain.
Answer:

  • In Diamond each carbon undergoes sp3 hybridisation and it is surrounded by four other carbon atoms with strong a – bonds tetrahedrally.
  • The C – C bond energy in diamond is very high and it has 3 – dimensional structure.
  • Due to these reasons diamond has high melting point.
  • It has melting point 4200 K.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 16.
Give the use of CO2 in photosynthesis.
Answer:
The process of converting the atmospheric CO2 into Carbohydrates by green plants is known as ‘photosynthesis’.
In Photosynthesis CO2 changes to carbohydrates such as glucose.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 5

Question 17.
How does CO2 increase the green house effect ?
Answer:

  • Green plants absorbs CO2 gas for photosynthesis and releases O2 gas.
  • Due to deforestation, decomposition of lime stone and burning of fossil fuels CO2 concentration is increased in atmosphere.
  • The increase of CO2 level disturbs the O2 – CO2 balance in the atmosphere and it is responsible for green house effect (or) global warming.

Question 18.
What are silicones ?
Answer:

  • Silicones are the organo Silicon polymers containing R2 SiO – repeating unit.
  • These are synthetic compounds containing Si – O – Si.
  • Linkage preparation : These are formed by the hydrolysis of chlorosilanes.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 19.
Give the uses of silicones.
Answer:
Uses of silicones :

  • These are used in surgical and cosmetic plants.
  • These are used in preparation of silicone rubbers.
  • These are used as sealoant, greases etc.
  • These are used in preparing water proof clothes and papers.
  • These are used as insulators.
  • These are used in paints and enamels.

Question 20.
What is the effect of water on tin ?
Answer:

  • Tin metal reacts with steam to form tin dioxide and dihydrogen gas.
  • In this reaction steam is decomposed.
    Sn + 2H2O AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 6 SnO2 + 2H2

Question 21.
Write an account of SiCl4.
Answer:

  • Silicon tetrachloride (SiCl4) is also called as tetra chloro silico methane.
  • SiCl4 can acts as Lewis acid due to availability of 3d orbital in ‘Si’.
  • SiCl4 undergoes hydrolysis due to presence of vacant 3d-orbital. Here water molecules forms dative bonds with empty 3d-orbitals of Siratom.

Uses :

  • SiCl4 and NH3 mixture used to produce smoke screens.
  • Ultra pure Silicon is used to make transistors.
  • SiO2 prepared from SiCl4 used in epoxypaints, resis etc..

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 22.
SiO2 is a solid while CO2 is a gas – explain.
Answer:

  • Silica (SiO2) has giant molecular structure.
  • In SiO2 ‘Si’ undergoes sp3 hybridisation.
  •  It is a 3 – dimension structure in which each ‘Si’ atom is tetrahedrally surrounded by four oxygen atoms.
  • Hence it exists as solid compound.
  • CO2 has linear structure.
  • In CO2 ‘C’ undergoes sp hybridisation.
  • In between CO2 molecule weak Vander Waal’s forces are present.
  • In CO2 molecule two double bonds are present.
  •  Hence CO2 exists as a gas.

Question 23.
Write the use of ZSM – 5.
Answer:

  1. ZSM – 5 is a zeolite.
  2. It is used to convert alcohols directly into gasoline.

Question 24.
What is the use of dry ice ?
Answer:

  1. Solid CO2 is called as dry ice.
  2. It is used as refrigirent for frozen food and ice – creams.

Question 25.
How is water gas prepared ?
Answer:
Water gas is prepared by passing superheated steam over hot coke.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 7

Question 26.
How is producer gas prepared ?
Answer:
Producer gas is prepared by passing air over white not coke.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 8

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 27.
C-C bond length in graphite is shorter than C-C bond length in diamond – explain.
Answer:

  1. In graphite each carbon undergoes sp2 hybridisation and hence bond length is 1.42 A° (or) 141.5 pm.
  2. Graphite has hexagonal layer like lattice. It is a 2-dimensional structure.
  3. In diamond each carbon undergoes sp3 – hybridisation and hence bond length is 1.54 A° (or) 154 pm.
  4. Diamond has regular tetrahedral giant polymeric structure. It is a 3-dimensional structure.

Question 28.
Diamond is used as precious stone – explain.
Answer:

  • Diamonds are used as precious stones.
  • Diamonds are clear, colourless form of pure carbon.
  • These are hardest substances occurring naturally.
  • The weight of diamond expressed in carats.
    1 carat = 200 mg.

Question 29.
Carbon never shows co-ordination number greater than four while other members of carbon family show co-ordination number as high as six – explain.
Answer:
Carbon never shows co-ordination number greater than four because of absence of d-orbitals in carbon atom.

The other members of carbon family show co-ordination number as high as six because of availability of d – orbitals.

Question 30.
Producer gas is less efficient fuel than water gas – explain.
Answer:

  1. Producer gas has calorific value 5439.2 KJ/m3
  2. Water gas has calorific value 13000 KJ/m3.
  3. Due to high calorific value of watergas, it is more efficient fuel than producer gas (or) producer gas is less efficient than watergas.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 31.
SiF6-2 is known while SiCl6-2 is not. Explain. [A.P. Mar. 16]
Answer:
SiF6-2 is known while SiCl6-2 is not because

  • Si+4 has small size so it cannot be accomodate six large chloride ions.
  • The interaction between lone pairs of Cl ion and Si+4 is not very strong.

Short Answer Questions

Question 1.
Explain the difference in properties of diamond and graphite on the basis of their structure.
Answer:
Diamond
a) Each carbon is sp3 hybridised.
b) Each carbon is bonded to 4 other carbons tetrahedrally.
c) It has a 3 dimensional structure.
d) C – C bond length is 1.54 Å and bond angle is 109° 28′.
e) Carbon atoms are firmly held with strong covalent bonds.
f) Diamond is very hard.
g) Density = 3.5 g/cc.
h) Graphite is a conductor due to the presence of free electrons.
i) It is transparent to light and X-rays. It has high refractive index (2.45).

Graphite
a) Each carbon is sp2 hybridised.
b) Each carbon is bonded to 3 other carbon atoms to form hexagonal rings. It has sheet like structure.
c) It has a 2 dimensional structure.
d) C – C bond length in hexagonal rings is 1.42 A° and bond angle is 120°.
e) The distance between two adjacent layers is 3.35 A°. These layers are held by weak Vander Waal’s forces.
f) Graphite is soft.
g) Density – 2.2g/cc.
h) Diamond is an insulator due to the absence of free electrons.
i) It has layer, lattice. The layers are slippery. Hence it is greasy.

Question 2.
Explain the following.
a) PbCl2 reacts with Cl2 to give PbCl4
b) PbCl4 is unstable to heat,
c) Lead is not known to form PbI4.
Answer:
a) PbCl2 + Cl2 → PbCl2
But PbCl4 is unstable than PbCl2. Because compounds of lead in +2 oxidation state are stable than +4 oxidation state.

b) PbCl4 is unstable to heat:

  • In PbCl4 lead exhibits +4 oxidation state.
  • he compounds of lead in +2 oxidation state are stable than +4 oxidation state. Hence PbCl4 is unstable to heat.

c) Lead is not known to form PbI4:

  • Pb – I bond formed initially during the reaction does not release enough energy to unpair the 6s electrons.
  • Lead compounds in +2 state are stable than +4 state.
    Due to inert pair effect Pb exhibits stable +2 oxidation state.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 3.
Explain the following :
a) Silicon is heated with methyl chloride at high temperature in presence of copper.
b) SiO2 is treated with HF.
c) Graphite is a Lubricant
d) Diamond is an abrasive.
Answer:
a)

  • Methyl chloride reacts with silicon at high temperature in presence of copper catalyst to form various types of methyl substituted chlorosilane of formula MeSiCl3, Me2SiCl2, Me3SiCl with small amount Me4Si.
  • Hydrolysis of dimethyl dichloro silane followed by condensation polymerisation forms a straight chain polymer (silicone) (Me = CH3 – group)
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 9

b) SiO2 is treated with HF to form SiF4. Which on hydrolysis to form H4SiO4 and H2SiF6.
SiO2 + 4HF → SiF4 + 2H2O
SiF4 + 4H2O → H4SiO4 + 2H2SiF6

c) Graphite is soft and it has layer lattice. In this structure one of the layer slided over another due to weak Vander Waal’s force of attraction. These layers are slippery. Hence it is greasy and function as lubricant.

d) The covalent bonds in diamond are very strong and difficult to break, Hence diamond is used as an abrasive for sharpening hard tpols, in making dyes and in the manufacturing of tungsten filaments etc.

Question 4.
What do you understand by
a) Allotropy
b) Inert pair effect
c) Catenation.
Answer:
a) Allotropy :
The phenomenon of existence of an element in different physical forms having similar (or) same chemical properties is called allotropy.
Crystalline allotropes of carbon are
a) Diamond
b) Graphite.

b) Inert pair effect : The reluctance of ‘ns’ pair of electrons to take part in bond formation is known as inert pair effect.
(or)
The occurrence of oxidation states two units less than the group oxidation states is known as inert pair effect.
Eg : Lead exhibits +2 oxidation state as stable oxidation state due to inert pair effect. (Instead of +4 state).

c) Catenation : The phenomenon of self linkage of atoms among themselves to form long chains (or) rings is called as catenation.
Carbon has highest catenation tendency due to its high bond energy (348 KJ/mole).

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 5.
If the starting material for the manufacturing of Silicons is RSiCi3. Write the structure of the product formed.
Answer:
When RSiCl3 type of compound is used for the manufacturing of silicones a cross – linked silicon is formed.
Eg : When Methyl trichloro silane (CH3SiCl3) undergoes hydrolysis to give monomethyl silane triol. This undergoes polymerisation to form a very complex cross-linked polymer (Silicone).
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 10

Question 6.
Write a short note on Zeolites.
Answer:
Zeolites : The three dimensional structure contain no metal ions. If some of the Si+4 in them is replaced by Al+3 and an additional metal ion an infinite three dimensional lattice is formed. Replacements of one or two silicon atoms in [Si2O8]-2n form zeolites. Zeolites act as ion exchanges and as molecular sieves. The structures of zeolites permit the formation of cavities of different sizes. Water molecules and a variety of other molecules like NH3, CO2 and ethanol can be trapped in these cavities. Then zeolites serve as molecular sieves. They trap Ca+2 ions from hard water and replace them by Na+2 ions.
Uses of Zeolites :
Zeolites are used as catalysts in petrochemical industries for cracking of hydrocarbons and in Isomerisation.
Zeolite ZSM – 5 is used to convert alcohols directly into gasoline.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 7.
Write a short note on Silicates.
Answer:
Silicates : Many building materials are silicates.
Ex : Granites, slates, bricks and cement. Ceramics and glass are also silicates. The Si – O bonds in silicates are very strong. They do not dissolve in any of the common solvents nor do they mix with other substances readily.
The silicates can be divided into six types. They are mentioned here.

  1. Orthosilicate or Nesosilicates : Their general formula may be M211 (SiO4).
    Ex : Willemite Zn2 (SiO4).
  2. Pyrosilicates or sorosilicates or Disilicates : These contain SiO7-6 units. Pyrosilicates are rare.
    Ex: Thorveitite Ln2 (Si2O7).
  3. Chain silicates : They have the units (SiO3)n2n-
    Ex : Spodumene LiA/ (SiO3)2.
    Amphiboles are one type chain silicates. Generally double chains are formed in them.
  4. Cyclic silicates : They are silicates having ring structures. They may be formed of general formula (SiO3)n2n-. Rings containing three, four, six and eight tetrahedral units are known. But rings with three and six are the most common.
    Ex : Beryl Be3Al2 (Si6O18)
  5. Sheet silicates : When SiO4 units share three corners the structure formed is an inifinite two dimensional sheet. The empirical formula (Si2O5)n2n-. These compounds appear in layer struc-tures. They can be cleaved.
    Ex : Kaolin Al2 (OH)4 Si2O5.
  6. Frame work silicates or three dimensional silicates : Sharing all the four corners of a SiO4 tetrahedron results in three dimensional lattice of formula SiO2.
    Ex : Quartz, Tridymite; Cristobalite; Feldspar and ultramarine (Na8 [Al6 Si6 O24] S2), zeolites.

Question 8.
What are Silicones ? How are they obtained ?
Answer:

  • Silicones are the organo silicon polymers containing R2 SiO – repeating unit.
  • These are synthetic compounds containing Si – 0 – Si.
    Preparation : These are formed by the hydrolysis of chlorosilanes.
  • Methyl chloride reacts with Silicon at high temperature in presence of copper catalyst to form various types of methyl substituted chlorosilane of formula MeSiCl3, Me2SiCl2, Me3SiCl with small amount Me4Si
  • Hydrolysis of dimethyl dichloro silane followed by condensation polymerisation forms a straight chain polymer (Silicone) (Me = CH3 – group).
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 11

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 9.
Write a short note on Fullerene.
Answer:
Fullerenes :

  • Fullerenes are one type of crystalline allotropes of carbon.
  • These are formed by heating graphite in an electric arc in presence of inertgases such as Helium (or) Argon.
  • These have smooth structure without dangling bonds. Hence Fullerenes are the only pure forms of carbon.
  • C60 molecule is called Buck minster fullerene and it’s shave was like a soccer ball.
  • C60 contains twenty 6 – membered rings and twelve 5 – membered rings.
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 12
  •  In C60 6 – membered rings can combine with 5 (or) 6 – mem-bered rings while 5 – membered rings only combine with 6 – membered rings.
  • In Fullerens each carbon undergoes sp2 hybridisation.
  • Fullere has aromatic nature due to delocalisation of electrons in unhybrid p-orbitals.
  • The C – C bond length in these compound lies between single and double bond lengths.
  • Spherical fullerene are also named as bucky balls.
  • The ball shaped molecule has 60 vertices.
  • The C – C bond distances are 1,43A° and 1.38A° respectively.

Question 10.
Why SiO2 does not dissolve in water ?
Answer:
Silica (SiO2) is a non reactive compound in it’s normal state.

  1. This non reactivity is due to very high Si – O bond enthalpy.
  2. Silica is a giant molecule with 3-dimensional structure.
  3. In Silica each silicon atom is covalently bonded in a tetrahedral manner to four oxygen atoms
  4. Hence SiO2 is insoluble in water.
  5. But slightly dissolves at high pressures when heated.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 11.
Why is diamond hard ?
Answer:
In diamond, each carbon undergoes sp3 hybridization. A carbon atom is bound to four carbon atoms, arranged in a tetrahedral symmetry, with single bonds. A three dimensional arrangement of the tetrahedral structures result in giant molecule. The bond energy is very high (348 kJ mol-1). It is very difficult to break the bonds. So, diamond is hard.

Question 12.
What happens when the following are heated
a) CaCO3
b) CaCO3 and SiO2
c) CaCO3 and excess of coke.
Answer:
CaCO3 up on heating gives Quick lime.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 13
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 14
Quick lime (CO) with silica gives Calcium silicate.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 15
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 16
Coke reacts with Quick lime and form Carbides.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 17

Question 13.
Why does Na2CO3 solution turn into a suspension, when saturated with CO2 gas.
Answer:
An aq. solution of Na2CO3 when saturated with CO2, gives Sodium bicarbonate (NaHCO3).
Na2CO3 + H2O + CO2 → 2NaHCO3
NaHCO3 is less soluble compared to Sodium carbonate, hence suspension is formed.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 14.
What happens when
a) CO2 is passed through slaked lime
b) CaC2 is heated with N2.
Answer:
a) Slaked lime, Ca(OH)2 is turned milky on passing CO2 with the formation of insoluble calcium
carbonate Ca(OH)2 + CO2 → CaCO3 + H2O on passing more ‘CO2‘, CaCO3 is converted into Calcium bicarbonate.
CaCO3 + H2O + CO2 → Ca(HCO3)2
b) CaC2 on heating with N2 gives calcium cyanamide.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 18

Question 15.
Write a note on the anomalous behaviour of carbon in the group -14.
Answer:
Carbon shows ariamalous behaviour in group – 14 elements. The following facts support that anamalous behaviour.
Except carbon all other elements of group -14 has available d-orbitals and can expand octet in valency shell.
Carbon occurs in free state but not the other elements of this group.

  • Maximum covalency of carbon is four but for silicon is six.
  • C – C bond energy is very high (348 kJ/Mde).
  • Carbon can form multiple bonds with C, O, S, etc.
  • Hydrocarbons are more stable thermally than silanes.

Long Answer Questions

Question 1.
What are Silicones ? How are they prepared ? Give one example. What are their uses?
Answer:

  • Silicones are the organo silicon polymers containing R2 SiO – repeating unit.
  • These are synthetic compounds containing Si – 0 – Si.
    Preparation : These are formed by the hydrolysis of chlorosilanes.
  • Methyl chloride reacts with Silicon at high temperature in presence of copper catalyst to form various types of methyl substituted chlorosilane of formula MeSiCl3, Me2SiCl2, Me3SiCl with small amount Me4Si
  • Hydrolysis of dimethyl dichloro silane followed by condensation polymerisation forms a straight chain polymer (Silicone) (Me = CH3 – group).
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 11

Uses of Silicones:

  • These are used in surgical and cosmetic plants.
  • These are used in preparation of Silicons rubbers.
  • These are used as sealoant, greases etc.
  • These are used in preparing water proof clothes and papers.
  • These are used as insulators.
  • These are used in paints and enamels.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 2.
Explain the structure of Silica. How does it react with
a) NaOH and
b) HF.
Answer:

  • Silica is a giant molecule with 3 – dimensional structure.
  • In Silica eight membered rings are formed with alternate Silicon and Oxygen atoms.
  • Each ‘Si’ is tetrahedrally surrounded by four Oxygen atoms.
  • Each Oxygen at the vertex of the tetrahedron is shared by two Silicon atoms.
  • In SiO2 Silicon atom under goes sp3 hybridisation.
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 19

a) Silica reacts with NaOH and forms Sodium Silicate (Na2SiO3)
SiO2 + 2 NaOH → Na2SiO3 + H2O

b) SiO2 is treated with HF to form SiF4. Which on hydrolysis to form H4SiO4 and H2SiF6.
SiO2 + 4HF → SiF4 + 2H2O
SiF4 + 4H2O → H4SiO4 + 2H2SiF6

Question 3.
Write a note on the allotropy of carbon.
Answer:
The property of an element to exist in two or more physical forms due to difference in the arrangement of atoms is called Allotropy. Allotropes have more or less similar chemical properties but different physical properties.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 20
Diamond, graphite and fullerenes are the crystalline allotropes of carbon.
Structure of Diamond : In diamond, each carbon atom bonded to four carbon atoms situated tetrahydrally around it.
In diamond, each carbon atom is in sp3 hybridisation and is linked to four carbon atoms by single covalent bonds.
C – C bond distance in diamond is 1.54 A°.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 21 bond angle in diamond is 109° 28″.
Uses of Diamond :

  1. Diamonds are used as precious stones for jewellery because of their ability to reflect light.
  2. Diamonds are used for cutting glass and drilling rocks due to their remarkable hardness.

Structure of Graphite : Graphite consists of a series of layers in which hexagonal rings made up of carbon atoms.
In Graphite, each carbon atom undergo sp2 hybridisation and forms three covalent bonds with three other carbon atoms.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 22
The fourth electron present in the pure ‘p orbitaI which is unhybridised. The electron become Free Electron.
The C — C bond length in graphite is 1.42 A°.
AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 23
The distance between the two layers in graphite is 3,4 A°.
These layers are held together by Vander Waal’s forces which are weak.
Graphite is a layer lattice structure.
Uses of Graphite:

  1. Graphite is used as a lubricant.
  2. It is used in the manufacturing of lead pencils.
  3. It is used in the manufacturing of Electrodes and Refractory crucibles.

Fullerenes :

  • Fullerenes are one type of crystalline allotropes of carbon.
  • These are formed by heating graphite in an electric arc in presence of inertgases such as Helium (or) Argon.
  • These have smooth structure without dangling bonds. Hence Fullerenes are the only pure forms of carbon.
  • C60 molecule is called Buck minster fullerene and it’s shave was like a soccer ball.
  • C60 contains twenty 6 – membered rings and twelve 5 – membered rings.
  • In C60 6 – membered rings can combine with 5 (or) 6 – membered rings while 5 – membered rings only combine with 6 – membered rings.
  •  In Fullerens each carbon undergoes sp2 hybridisation.
  • Fullere has aromatic nature due to delocalisation of electrons in unhybrid p-orbitals.
  • The C – C bond length in these compound lies between single and double bond lengths.
  • Spherical fullerene are also named as bucky balls.
  • The ball shaped molecule has 60 vertices.
  • The C – C bond distances are 1.43A° and 1.38A° respectively.
  • Amorphous allotropes of carbon are coal, coke, animal charcoal wood charcoal, lamp black, carbon black, gas carbon, petroleum coke and sugar charcoal.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 4.
Write a note on
a) Silicates
b) Zeolites
c) Fullerenes.
Answer:
a) Silicates : Many building materials are silicates.
Ex : Granites, slates, bricks and cement. Ceramics and glass are also silicates. The Si – O bonds in silicates are very strong. They do not dissolve in any of the common solvents nor do they mix with other substances readily.

The silicates can be divided into six types. They are mentioned here.

  1. Orthosilicate or Nesosilicates : Their general formula may be M211 (SiO4).
    Ex : Willemite Zn2 (SiO4).
  2. Pyrosilicates or sorosilicates or Disilicates : These contain SiO7-6 units. Pyrosilicates are rare.
    Ex : Thorveitite Ln2 (Si2O7).
  3. Chain silicates : They have the units (SiO3)n2n-
    Ex : Spodumene LiAl (SiO3)2.
    Amphiboles are one type chain silicates. Generally double chains are formed in them.
  4. Cyclic silicates : They are silicates having ring structures. They may be formed of general formula (SiO3)n2n-. Rings containing three, four, six and eight tetrahedral units are known. But rings with three and six are the most common.
    Ex : Beryl Be3Al2 (Si6O18)
  5. Sheet silicates : When SiO4 units share three corners the structure formed is an inifinite two dimensional sheet. The empirical formula (Si2O5)n2n-. These compounds appear in layer struc-tures. They can be cleaved.
    Ex : Kaolin Al2 (OH)4 Si2O5.
  6. Frame work silicates or three dimensional silicates : Sharing all the four corners of a SiO4 tetrahedron results in three dimensional lattice of formula SiO2.
    Ex : Quartz, Tridymite; Cristobalite; Feldspar and ultramarine (Na8 [Al6 Si6 O24] S2), zeolites.

b) Zeolites : The three dimensional structure contain no metal ions. If some of the Si+4 in them is replaced by Al+3 and an additional metal ion an infinite three dimensional lattice is formed. Replacements of one or two silicon atoms in [Si2O8]-2n form zeolites. Zeolites act as ion ex-changes and as molecular sieves. The structures of zeolites permit the formation of cavities of different sizes. Water molecules and a variety of other molecules like NH3, CO2 and ethanol can be trapped in these cavities. Then zeolites serve as molecular sieves. They trap Ca+2 ions from hard water and replace them by Na+2 ions.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Uses of Zeolites :

  • Zeolites are used as catalysts in petrochemical industries for cracking of hydrocarbons and in Isomerisation.
  • Zeolite ZSM – 5 is used to convert alcohols directly into gasoline.

c) Fullerenes :

  • Fullerenes are one type of crystalline allotropes of carbon.
  • These are formed by heating graphite in an electric arc in presence of inertgases such as Helium (or) Argon.
  • These have smooth structure without dangling bonds. Hence Fullerenes are the only pure forms of carbon. .
  • C60 molecule is called Buck minster fullerene and it’s shave was like a soccer ball.
  • C60 contains twenty 6 – membered rings and twelve 5 – mem- bered rings.
    AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 12
  • In C60. 6 – membered rings can combine with 5 (or) 6 – membered rings while 5 – membered rings only combine with 6 – membered rings.
  • In Fullerens each carbon undergoes sp2 hybridisation.
  • Fullere has aromatic nature due to delocalisation of electrons in unhybrid p-orbitals.
  • The C – C bond length in these compound lies between single and double bond lengths.
  • Spherical fullerene are also named as bucky balls.
  • The ball shaped molecule has 60 vertices.
  • The C – C bond distances are 1.43A° and 1.38A° respectively.

Solved Problems

Question 1.
Select the member(s) of group 14 that

  1. forms the most acidic dioxide
  2. is commonly found in +2 oxidation state
  3. used as semiconductor.

Solution:

  1. Carbon
  2. lead
  3. Silicon and germanium

Question 2.
[SiF6]2- is known whereas [SiCl6]2- not. Give possible reasons.
Solution:
The main reasons are :

  1. Six large chloride ions cannot be accommodated around Si4+ due to limitation of its size.
  2. Interaction between lone pair of chloride ion and Si4+ is not very strong.

AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14

Question 3.
Diamond is covalent, yet it has high melting point. Why ?
Solution:
Diamond has a three – dimensional network involving strong C – C bonds, which are very difficult to break and in turn has high melting point.

Question 4.
What are Silicones ?
Solution:
Simple Silicones consist of AP Inter 1st Year Chemistry Study Material Chapter 11 The p-Block Elements - Group 14 24 chains in which alkyl or phenyl groups occupy the remaining bonding positions on each silicon. They are hydrophobic (water repellant) in nature.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements – Group 13

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 10th Lesson The p-Block Elements – Group 13 Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 10th Lesson The p-Block Elements – Group 13

Very Short Answer Questions

Question 1.
Discuss the pattern of variation in the oxidation states of Boron to Thallium.
Answer:

  • Boron exhibits – 3 oxidation state due to its small size and non-metalic nature.
  • Aluminium exhibits +3 oxidation state.
  • Gallium, Indium and Thallium exhibits both +1 and +3 oxidation states.
  • In Thallium +1 oxidation state is more stable than +3 due to inert pair effect.

Question 2.
How do you explain higher stability of TlCl3 ?
Answer:
[TlCl3 is not stable because Tl doesnot exist in Tl3 stable state.] [TlCl is stable because of inertpair effect Tl+1 is stable].

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 3.
Why does BF3 behave as a Lewis acid ?
Answer:
BF3 is a electron deficient molecule. It has the tendency to accept an electron pair. Electron pair acceptors are Lewis acids. Hence BF3 behave as a Lewis acid.

Question 4.
Is boric acid a protic acid ? Explain.
Answer:
Boric acid is a weak mono basic acid. In Boric acid plannar BO3 units are joined by hydrogen bonds. It has layer structure (polymeric). Hence it is not a protic acid. It does not give up a proton.

Question 5.
What happens when boric acid is heated ?
Answer:
Boric acid when heated above 370 K forms meta boric acid. This on heating forms Boric oxide.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 1

Question 6.
Describe the shapes of BF3 and BH4. Assign the hybridization of boron in these species.
Answer:

  • Shape of BF3 molecule is Trigonal planar
    Hybridisation of ‘B’ in BF3 is sp2
  • Shape of BH4 molecule is Tetrahedral
    Hybridisation of ‘B’ in BH4 is sp3

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 7.
Explain why atomic radius of Ga is less than that of ‘Al’.
Answer:
In Gallium penultimate shell contains 10-d electrons. Due to this 10-d electrons shielding effect becomes poor on outer most electrons. So nuclear charge increased in Gallium. Hence atomic radius of Ga is lessthan that of ‘Al’.

Question 8.
Explain inert pair effect.
Answer:
The reluctance of ‘ns’ pair of electrons to take part in bond formation is called inert pair effect.
(or)
The occurrence of oxidation states two unit lessthan the group oxidation states is called inert pair effect.
Eg : In Group – 13 Tl exhibits +1 oxidation state instead of +3 oxidation state due to inert pair effect.

Question 9.
Write balanced equations for
a) BF3 + LiH →
b) B2H6 + H2O →
c) NaH + B2H6
d) H3BO3 AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 2
e) B2H6 + NH3 AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 2
Answer:
a) 2BF3 + 6LiH → B2H6 + 6 LiF
b) B2H6 + 6H2O → 2B(OH)3 + 6H2
c) B2H6 + 2NaH → 2NaBH4
d) H3BO3 AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 2 HBO2 AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 2 B2O3
e) B2H6 + 6NH3 → 3[BH2(NH3)2]+ (BH4) AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 3 2B3N3H6 + 12H2

Question 10.
Why is boric acid polymeric ?
Answer:
Boric acid has layer like lattice. In this structure planar BO3 units are joined by hydrogen bonds and forms a polymeric structure.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 11.
What is the hybridization of B in diborane and borazine ?
Answer:

  • In diborane ‘B’ hybridisation is sp3
  • In Borazine ‘B’ hybridisation is sp2

Question 12.
Write the electronic configuration of group – 13 elements.
Answer:
General outer electronic configuration of Group – 13 elements is ns2np1

  • B – 1s22s22p1
  • Al – [Ne] 3s23p1
  • Ga – [Ar] 3d104s24p1
  • In – [Kr] 4d105s25p1
  • Tl – [Xe] 5d10 6s26p1

Question 13.
Give the formula of borazine. What is its common name ?
Answer:

  • The formula of borazine is B3N3H6.
  • It’s common name is “In organic benzene” because it is – iso structural with benzene.

Question 14.
Give the formulae of
a) Borax
b) Colemanite.
Answer:
a) Formula of Borax is Na2B4O7. 10H2O
b) Formula of Colemanite is Ca2B6O11.5H2O

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 15.
Give two uses of aluminium.
Answer:
Uses of Aluminium :

  • Aluminium is used in packing.
  • Aluminium is used in utensil making.
  • Aluminium alloys are used in shaping of pipes, tubes, wires etc.
  • Aluminium alloys are used in making air craft bodies.

Question 16.
What happens when
a) LiAlH4 and BCl3 mixture in dry ether is warmed and
b) Borax is heated with H2SO4 ?
Answer:
a) When LiAlH4 and BCl3 mixture is warmed in dry ether diborane is formed.
4BF3 + 3 LiAlH4 → 2B2H6 + 3 LiF + 3 AlF3
b) Borax is heated with H2S04 then boric acid is formed
Na2B4O7 + H2SO4 + 5H2O → Na2SO4 + 4H3BO3

Question 17.
Sketch the structure of Orthoboric acid.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 4

Question 18.
Write the structure of AlCl3 as a climer.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 5

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 19.
Metal borides (having 10B) are used as protective shield – Why ?
Answer:
Boron – 10 (10B) has the capacity to absorb neutrons. Hence metal borides (having 10B) are used as protective shields in nuclear industry.

Short Answer Questions

Question 1.
Write reactions to justify amphoteric nature of aluminium.
Answer:

  • Amphoteric nature means having acidic as well as basic nature.
  • Aluminium reacts with both mineral acids as well as aqueous alkalis.

a) Reaction with mineral acid :
‘Al’ reacts with dil.HCl and liberates hydrogen gas.
2Al + 6HCl → 2AlCl3 + 3H2

b) Reaction with aqueous alkali :
‘Al’ reacts with aqueous alkali (NaOH) and liberates hydrogen gas.
2Al + 2NaOH + 6H2O → Na2[Al(OH)4] + 3H2

Question 2.
What are electron deficient compounds ? Is BCl3 an electron deficient species ? Explain.
Answer:
These are the compounds in which the available no.of valence electrons is lessthan the number required for normal covalent bond formation (or) for writting the Lewis structure of the molecule.

  • These compounds are electron pair acceptors and acts as Lewis acids.
  • BCl3 is an electron deficient compound.
  • In BCl3 ‘B’ contains only six electrons instead of eight electrons.
  • BCl3 has the tendency to accept an electron pair and acts as Lewis acid.
    Eg : Formation of BCl3 . NH3 :-
    BCl3 accepts an electron pair from NH3 and forms the compound BCl3.NH3 (Tetrahedral)
    AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 6

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 3.
Suggest reasons why the B – F bond lengths in BF3 (130 pm) and BF4 (143 pm) differ.
Answer:
About BF3 :

  • In BF3 the central atom ‘B’ contains three bond pairs in the valency shell.
  • ‘B’ under goes sp2 hybridisation.
  • Shape of the molecule is trigonal planar.

About BF4 :

  • In BF4 the central atom ‘B’ contains four bond pairs in the valency shell.
  • ‘B’ under goes sp3 hybridisation.
  • Shape of the molecule is tetrahedral.
  • The above reasons suggent that the difference in bond lengths of BF3 (130 pm) and BF4 (143 pm).

Question 4.
B – Cl bond has a bond moment. Explain why BCl3 molecule has zero dipolemoment.
Answer:

  • B – Cl bond is a polar bond so it has bond moment.
  • BCl3 molecule is non-polar because of its symmetrical structure. (Trigonal planar structure)
  • Symmetrical molecules has zero dipole moment.
    ∴ Dipole moment of BCl3 (μ) = 0

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 5.
Explain the structure of boric acid.
Answer:

  • Boric acid has a layer lattice.
  • In this layer lattice planar BO3 units are joined by hydrogen bonds.
  • The structure of Boric acid is polymeric as shown in following figure.
    AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 7
  • In the above structure dotted lines represents the hydrogen bonds

Question 6.
What happens when
a) Borax is heated strongly
b) Boric acid is added to water
c) Aluminium is heated with dilute NaOH
d) BF3 is treated with ammonia
e) Hydrated alumina is treated with aq.NaOH solution.
Answer:
a) Borax on heating first loses water molecules and forms sodium tetraborate. This on further heating forms a mixture of sodium metaborate and boric an hydride. This mixture is solidifies into glass like substance.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 8

b) Boric acid is added to water, boric acid accepts a hydroxyl ion from water.
B(OH)3 + 2H2O → [B(OH)4] + H3O+

c) Aluminium is heated with dilute NaOH, sodium metaluminate is formed with the liberation of hydrogen gas.
2Al + 2NaOH → 2NaAlO2 + H2

d) BF3 is treated with NH3 an addition compound BF3. NH3 is formed. BF3 accepts an electron pair from NH3 and forms a dative bond.
BF3 + AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 9 → [BF3 ← NH3] → [BF3.NH3]

e) Hydrated Alumina is treated with aq.NaOH to form sodium metaluminate.
Al2O3.2H2O + 2NaOH(aq) → 2NaAlO(aq) + 3H2O

Question 7.
Give reasons
a) Conc.HNO3 can be transported in aluminium container.
b) A mixture of dil. NaOH and aluminium pieces is used to open drain.
c) Aluminium alloys are used to make aircraft body.
d) Aluminium utensils should not be kept in water overnight.
e) Aluminium wire is used to make transmission cables.
Answer:
a) Cone. HNO3 can be transported in Aluminium containers because Al is passive towards Conc.HNO3 due to the formation of thin layer of Al2O3 on the surface.

b) A mixture of dil.NaOH and aluminium pieces is used to open drain because it acts as cleaning agent.
2Al + 2NaOH → 2NaAlO2 + H2

c) Aluminium alloys are used to make air craft body because it is a light metal, soft, malleable, ductile and tenacious. It shows resistance to atmosphere corrosion.

d) Aluminium utensils should not be kept in water overnight because Aluminium reacts with water and liberates hydrogen gas and heat. It makes colour dissolving and sometimes Aluminium compounds are toxic in nature.

e) Aluminium wire used to make transmission cables because of it’s good conductivity (electrical) and resistance to atmospheric corrosion.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 8.
Explain why the electronegativity of Ga, In and Tl will not vary very much.
Answer:

  1. Ga, In and Tl have the electro negativity values 1.6, 1.7 and 1.8 respectively.
  2. In Ga, In and Tl the d-electrons (d10) in penultimate shell do not shield the outer most electrons from nuclear attraction effectively.
  3. The reason for the above fact is.the shielding effect of various electrons in the orbitals follows the order
    s > p > d > f.
  4. Hence the outer electrons are held more firmly by the nucleus. Because of this, atoms with d- electrons in the penultimate shell (d10) are smaller in size. Ga, In and Tl has same number of penultimate shell electrons.
  5. So, Ga, In and Tl will not vary very much in their electronegativities.

Question 9.
Explain Borax bead test with a suitable example. [T.S. Mar. 16] [Mar. 13]
Answer:
Borax bend test: This test is useful in the identification of basic radicals in qualitative analysis. On heating borax swells into a white, opaque mass of anhydrous sodium tetra borate. When it is fused, borax glass is obtained. Borax glass is sodium meta borate and B203. The boric anhydride, B203, combined with metal oxides to form metal metaborates as coloured beads. The reactions are as follows :
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 10

Question 10.
Explain the structure of diborane. [A.P. Mar. 16] [A.P. & T.S. Mar. 15]
Answer:
Diborane is an electron deficient compound. It has ’12’ valency electrons for bonding purpose instead of ’14’ electrons.

In diborane each boron atom undergoes sp3 hybridization out of the four hybrid orbitals one is vacant.

Each boron forms two, σ – bonds (2 centred – 2 electron bonds) bonds with two hydrogen atoms by overlapping with their ‘1s’ orbital.

The remaining hybrid orbitals of boran used for the formation of B-H-B bridge bonds.

In the formation of B-H-B bridge, half filled sp3 hybrid ofbital of one boron atom and vacant sp3 hybrid orbital of second boron atom overlap with 1s orbital of H-atom.

These three centred two electron bonds are also called as banana bonds. These bonds are present above and below the plane of BH2 units.

Diborane contains two coplanar BH2 groups. The four hydrogen atoms are called terminal hydrogen atoms and the remaining two hydrogens are called bridge hydrogen atoms.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 11
Bonding in diborane, Each B atom uses sp3 hybrids for bonding. Out of the four sp3 hybrids on each B atom, one is without an electron shown in broken lines. The terminal B-H bonds are normal 2-centre-2- electron bonds but the two bridge bonds are 3-centre-2- electron bonds. The 3-centre-2-electron bridge bonds are also referred to as banana bonds.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 11.
Explain the reactions of aluminium with acids.
Answer:
Reactions of ‘Al’ with adds :
i) DiS. (or) cone. HCl dissolves Al and gives H2.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 12

ii) a) Dil.H2SO4 liberates H2.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 13
b) Cone. H2SO4 dissolves the metal ‘Al’ and gives SO2.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 14

iii) a) Very dil.HNO3 is reduced to NH4 NO3 by Al.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 14
b) Cone. HNO3 makes ‘Al’ passive due to the formation of a thin film of oxide layer on the metal surface.

Question 12.
Write a short note on the anamalous behaviour of boron in group – 13.
Answer:

  • Among Group – 13 elements ‘B’ is only the non metal.
  • ‘B’ forms only covalents compounds.
  • ‘B’ doesnot displaces hydrogen from acids.
  • ‘B’ shows diagonal relationship with ‘Si’.
  • ‘B’ forms acidic oxide where as other elements of group forms amphoteric oxides and basic oxides.
  • ‘B’ has only two electrons in the penultimate shell.
  • ‘B’ has covalency ‘4’ where as other elements has covalency of maximum ‘6’.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 13.
Aluminium reacts with dil.HNO3 but not with conc.HNO3 – explain.
Answer:

  • Dilute HNO3 reacts with Aluminium slowly and forms aluminium nitrate and ammonium nitrate.
    8Al + 30 HNO3 → 8 Al(NO3)3 + 3NH4NO3 + 9H2O
  • Aluminium doesnot react with cone. HNO3.

Reasons :

  • Aluminium is passive towards cone. HNO3 due to the formation of thin film of Al2O3 layer on the surface.
  • Because of this passivity between Al and conc.HNO3, conc.HNO3 is transported in Aluminium containers.

Question 14.
Give two methods of preparation of diborane.
Answer:

  1. In industries diborane is prepared by the reaction between boron tri fluoride and lithium hydride.
    AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 16
  2. Boron trichloride and hydrogen mixture subjected to silent electric discharge at low pressure to from diborane.
    2BCl3 + 6H2 → B2H6 + 6HCl
  3. Boron trichloride undergo reduction with LiAlH4 to form diborane.
    AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 17

Question 15.
How does diborane react with
a) H2O
b) CO
c) N(CH3)3 ?
Answer:
a) Diborane reacts with water to form boric acid and hydrogen.
B2H6 + 6H2O → 2H3BO3 + 6H2

b) Diborane reacts with CO at 100° C and 20 atm. pressure to form borane carbonyl.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 18
c) Diborane reacts with N(CH3)3 and form a adduct.
B2H6 + 2N(CH3)3 → 2BH3.N(CH3)3 (adduct)
Reactions b, c are cleavage reactions.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 16.
Al2O3 is amphoteric – explain with suitable reactions.
Answer:

  • Amphoteric oxides are the oxides which possess both acidic as well as basic nature.
    Al2O3 possess both acidic as well as basic behaviour.
  • Al2O3 react with both acids as well as bases to produce salts and water.
    Supporting reactions for amphoteric nature of Al2O3
    a) With acids:
    AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 19
    b) With bases:
    AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 20

Question 17.
Na2B4O7 + Cone. H2SO4 → A AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 21 > B (Green edged flame) Identify A and B
Hint: A = H3BO3 B = (C2H5)3 BO3.
Answer:
Na2B4O7 + Cone. H2SO4 + 5H2O → 4H3BO3 A) AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 21 B) 4(C2H5)3BO3

  • ‘A’ is H3BO3
  • ‘B’ is (C2H5)3 BO3.

Long Answer Questions

Question 1.
How are borax and boric acid prepared ? Explain the action of heat on them.
Answer:
Preparation of Borax:
Boric acid on heating first forms tetraboric acid. This on reaction with sodium hydroxide to form borax.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 22
Preparation of Boric acid : Borax is treated with conc.H2SO4 boric acid is formed.
Na2B4O7 + H2SO4 + 5H2O → 4H3BO3 + Na2SO4.

Heating of Borax :
Borax on heating first loses the water molecules and forms sodium tetraborate. This on further heating forms a mixture of sodium meta borate and boric anhydride.
Na2B4O7.10H2O AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 2 Na2B4O7 imgg 2 2 NaBO2 + B2O3.

Heating of Boric acid :
Boric acid on heating forms boric anhydride. The reaction depends on the temperature used.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 23

Question 2.
How is diborane prepared ? Explain its structure.
Answer:
In industries diborane is prepared by the reaction between boran tri fluoride and lithium hydride.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 24
Boron trichioride and hydrogen mixture subjected to silent electric discharge at low pressure to from diborane.
2BCl3 + 6H2 → B2H6 + 6HCl
Boron trichloride undergo reduction with LiAlH4 to form diborane.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 25
Diborane is an electron deficient compound. It has ’12’ valency electrons for bonding purpose instead of ’14’ electrons.

In diborane each boron atom undergoes sp3 hybridization out of the four hybrid orbitals one is vacant.

Each boron forms two, σ – bonds (2 centred – 2 electron bonds) bonds with two hydrogen atoms by overlapping with their ‘1s’ orbital.

The remaining hybrid orbitals of boran used for the formation of B-H-B bridge bonds.

In the formation of B-H-B bridge, half filled sp3 hybrid ofbital of one boron atom and vacant sp3 hybrid orbital of second boron atom overlap with 1s orbital of H-atom.

These three centred two electron bonds are also called as banana bonds. These bonds are present above and below the plane of BH2 units.

Diborane contains two coplanar BH2 groups. The four hydrogen atoms are called terminal hydrogen atoms and the remaining two hydrogens are called bridge hydrogen atoms.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 11
Bonding in diborane, Each B atom uses sp3 hybrids for bonding. Out of the four sp3 hybrids on each B atom, one is without an electron shown in broken lines. The terminal B-H bonds are normal 2-centre-2- electron bonds but the two bridge bonds are 3-centre-2- electron bonds. The 3-centre-2-electron bridge bonds are also referred to as banana bonds.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 3.
Write any two methods of preparation of diborane. How does it react with
a) Carbon monoxide and
b) Ammonia ?
Answer:
Preparation of diborane:
In industries diborane is prepared by the reaction between boroh tri fluoride and lithium hydride.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 24
Boron trichloride and hydrogen mixture subjected to silent electric discharge at low pressure to from diborane.
2BCl3 + 6H2 → B2H6 + 6HCl
Boron trichloride undergo reduction with LiAlH4 to form diborane.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 25

a) Reaction with carbon monoxide :
Diborane reacts with CO at 100° C and 20 atm. pressure to form borane carbonyl.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 26

b) Reaction with ammonia
Diborane reacts with ammonia at 120° C first forms B2H6.2NH3 (or) [BH2(NH3)2]+[BH4] and on further heating forms borazole (or) borazine. Which is also called as “In organic benzene”. It has iso structural with benzene. Flence it is named as “Inorganic Benzene”.
AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13 27

Solved Problems

Question 1.
Standard electrode potential values, EΘ for Al3+ / Al is – 1.66 V and that of Tl3+ / Tl is + 1.26 V. Predict about the formation of M3+ ion in solution and compare the electropositive character of the two metals.
Solution:
Standard electrode potential values for two half cell reactions suggest that aluminium has high tendency to make Al3+ (aq) ions, whereas Tl3+ is not only unstable in solution but is a powerful oxidising agent also. Thus Tl+ is more stable in solution than Tl3+. Aluminium being able to form +3 ions easily, is more electropositive than thallium.

Question 2.
White fumes appear around the bottle of anhydrous aluminium chloride. Give reason.
Solution:
Anhydrous aluminium chloride is partially hydrolysed with atmospheric moisture to liberate HCl gas. Moist HCl appears white in colour.

AP Inter 1st Year Chemistry Study Material Chapter 10 The p-Block Elements - Group 13

Question 3.
Boron is unable to form \(\mathrm{BF}_6^{3-}\) ion. Explain.
Solution:
Due to non – availability of d orbitals, boron is unable to expand its octet. Therefore, the maximum covalence of boron cannot exceed 4.

Question 4.
Why is boric acid considered as a weak acid ?
Solution:
Because it is not able to release H+ ions on its own. It receives OH+ ions from water molecule to complete its octet and in turn releases H+ ions.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 9th Lesson The s-Block Elements Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 9th Lesson The s-Block Elements

Very Short Answer Questions

Question 1.
Give reasons for the diagonal relationship observed in the periodic table.
Answer:

  • Diagonal relationship is due to similar sizes of atoms (or) ions
  • Diagonal relationship is due to similar electro negativities of the respective elements. Diagonally similar elements possess same polarising power.
  • Polarizing Power = \(\frac{\text { ionic charge }}{\text { (ionic radius) }^2}\)

Question 2.
Write completly the electronic configurations of K and Rb.
Answer:
The electronic configuration of ‘K’ is 1s2 2s2 2p6 3s2 3p6 4s2
The electronic configuration of ‘Rb’ is 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s1.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 3.
Lithium salts are mostly hydrated. Why ?
Answer:
Hydration enthalpy of Li+ ion is very high. It has very high degree of hydration. So ‘Li’ salts are mostly hydrated.
Eg : LiCl . 2H2O.

Question 4.
Which of the alkali metals shows abnormal density ? What is the order of the varia-tion of density among the IA group elements.
Answer:

  • ‘K’ has abnormal density among alkalimetals due to high inter atomic distances in crystal lattice.
  • The order of the variation of density among the IA group elements as follows.
    Li < Na > K < Rb < Cs.

Question 5.
Lithium reacts with water less vigorously than sodium. Give your reasons.
Answer:
Lithium reacts with water less vigorously than sodium.

Reasons :

  • Lithium has small size.
  • Lithium has very high hydration energy.

Question 6.
Lithium Iodide is the most covalent among the alkali metal halides. Give the reasons.
Answer:
Lithium iodide is the most covalent among the alkalimetal halides.

Reasons :

  • The polarising capability of lithium ion is high.
  • Li+ ion has very small size.
  • Li+ ion has high tendency to distort electron cloud around the iodide ion.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 7.
In what respects lithium hydrogen carbonate differs from other alkali metal hydrogen carbonates.
Answer:
Lithium hydrogen carbonate cannot exist in solid form but remaining alkali metal hydrogen carbonates exist as solids.

Question 8.
Write the complete electronic configurations of any two alkaline earth metals.
Answer:

  1. The electronic configuration of ‘Mg’ is 1s2 2s2 2p6 3s2
  2. The electronic configuration of ‘Ca’ is 1s2 2s2 2p6 3s2 3p6 4s2.

Question 9.
Tell about the variation of m.pts., and b.pts among the alkaline earth metals.
Answer:

  1. The m.pts and b.pts of alkaline earth metals are higher than corresponding alkali metals due to smaller sizes.
  2. Due to low I.P. values the variation of m.pts and b.pts among alkaline earth metals is not sys-tematic.

Question 10.
What are the characterstic colours imparted by the HA elements ?
Answer:
Elements – Imparted colours towards flame
Calcium – Brick red
Strontium – Crimson red
Barium – Apple green
Beryllium – No colour
Magnesium – No colour

Question 11.
What happens when magnesium metal is burnt in air ?
Answer:
Magnesium metal burns with dazzling brilliance in air to give MgO and Mg3N2.
2 Mg + O2 → 2 MgO
3 Mg + N2 → Mg3N2.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 12.
Lithium carbonate is not so stable to heat as the other alkali metal carbonates. Explain.
Answer:
Lithium carbonate is not so stable to heat because Lithium has very small size and it polarises the large CO3-2 ion which leads to the formation of more stable Li2O and CO2.
As the electro positive character increases down the group, the stability of carbonats increase.

Question 13.
Write a balanced equation for the formation of ammoniated IIA metal ions from the metals in liquid ammonia.
Answer:
Alkaline earth metals dissolve in liquid ammonia to give deep blue black solutions forming ammoniated ions.
M + (x + y) NH3 → [M(NH3)x]2+ + 2 [e(NH3)y]
From the above solutions, ammoniates [M(NH3)x]2+ can be recovered.

Question 14.
The fluorides of alkaline earth metals are relatively less soluble than their respective chlorides in water. Why ?
Answer:
Because of their high lattice energies fluorides of alkaline earth metals are relatively less soluble than their respective chlorides in water.

Question 15.
What happens when hydrated Mg (NO3)2 is heated ? Give the balanced equation.
Answer:
When hydrated Mg(NO3)2 is heated, it first loses the six water molecules and on further heating
decomposes to give the oxide.
2 Mg (NO3)2 → 2 MgO + 4NO2 + O2.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 16.
Why does the solubility of alkaline earth metal hydroxides in water increases down the group ?
Answer:
Among alkaline earth metal hydroxides, the anion being common the cationic radius will influence the lattice enthalpy. Since lattice enthalpy decreases much more than the hydration enthalpy with increasing ionic size, the solubility increases as we go down the group.

Question 17.
Why does the solubility of alkaline earth metal Carbonates and sulphates in water decrease down the group ?
Answer:
The size of anions being much larger compared to cations, the lattice enthalpy will remain almost constant within a particular group. Since the hydration enthalpies decrease down the group, solubility will decrease as found for alkaline earth metal carbonates and sulphates.

Question 18.
Write the average composition of Portland cement.
Answer:
Composition of port land cement is
Cao – 50 – 60%
Sio2 – 20 – 25%
Al2O3 – 5 – 10%
Mgo – 2 – 3%
Fe2O3 – 1 – 2% and
SO2 – 1 – 2%

Question 19.
Why is gypsum added to cement ?
Answer:
Gypsum is added to cement to slow down the process of setting of the cement and to get sufficiently hardened cement.

Question 20.
Why are alkali metals not found in the free state in nature ? [Mar. 13]
Answer:
Alkali metals are not found in the free state in nature because they readily lose their valency electron to form M+ ion (a nonvalent ion).

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 21.
Potassium carbonate cannot be prepared by Solvay process. Why ?
Answer:
Potassium carbonate cannot be prepared by solvay process because potassium bi carbonate is more soluble and to be precipitated by the addition of ammonium bi carbonate to a saturated solution of potassium chloride.

Question 22.
Describe the important uses of caustic soda.
Answer:
Uses:

  • It is used in petrol refining
  • It is used in the purification of bauxite.
  • It is used in manufacturing of soap, paper.
  • It is used in manufacturing of antificial silk.
  • It is used in manufacturing of so many chemically.
  • It is used in textile industries for mercerising cotton fabrics.
  • It is used in preparation of pure fats and oils.
  • It is used in as laboratory reagent.

Question 23.
Describe the important uses of sodium carbonate.
Answer:
Uses:

  • Na2CO3 is used in the manufacturing of glass.
  • Na2CO3 is used in the manufactuing of borax, caustic soda.
  • Na2CO3 is used in paper, paints and textile industries.
  • Na2CO3 is used in softening of water.
  • Na2CO3 is used in laundries.
  • Na2CO3 is used an important laboratory reagent both in qualitative and quantitative analysis.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 24.
Describe the important uses of quick line.
Answer:
Uses:

  • Quick lime is used in the purification of sugar.
  • Quick lime is used in the manufacture of dyestuffs.
  • Quick lime is used in the manufacture of Na2CO3 from NaOH.
  • It is an important material for manufacturing of cement and it is the cheapest form of alkali.

Question 25.
Draw the structures of

  1. BeCl2 (vapour) and
  2. BeCl2 (Solid).

Answer:

  1. In vapour phase BeCl2 forms a bridged dimer which disociates into monomer at high temperatures (around 1200 k)
    Cl – Be – Cl
  2. In solid state BeCl2 has a chain structure.
    AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 1

Question 26.
Describe the importance of Plaster of Paris.
Answer:

  1. Plaster of paris has an important property of setting with water.
  2. It forms a hard solid in 5 to 15 min. When it is mixed with suitable quantity of water.
  3. It is majorly used in building industry and as well as plasters.
  4. It is used in the bone fractures (or) sprain conditions.
  5. It is used in dentistry.
  6. It is used in manufacturing status and busts.

Question 27.
Which of the alkaline earth metal carbonates is thermally the most stable ? Why ?
Answer:
Among Alkaline earth metal carbonates BaCO3 is thermally most stable.
Reason :
As the cationic size increases thermal stability also increases. So BaCO3 is most stable thermally.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 28.
Write balanced equations for the reactions between

  1. Na2O2 and water
  2. K2O and water.

Answer:

  1. Na2O2 + 2H2O → 2 NaOH + H2O2
  2. K2O + H2O → 2 KOH.

Short Answer Questions

Question 1.
Alkali metals and their salts impart characteristic colours to an oxidizing flame. Explain the resonizing flame. Explain the reason.
Answer:
Alkali metals and their salts impart characterstic colours to an oxidizing flame.

Reasons :
The heat from the flame excites the outer most orbital electron to a higher energy level. When the excited electron emitts the radiation and comes back to the ground state. This falls in the visible region.

Question 2.
What makes caesium and potassium useful as electrodes in photoelectric cells ?
Answer:

  • Alkali metals can be detected by the respective flame tests and can be determined by the flame photo metry (or) atomic absorption spectroscopy.
  • Alkali metals when irradiated with light, the light energy absorbed may be sufficient to make an atom lose electron.
  • This makes caesium and potassium useful as electrodes in photo electric cells.

Question 3.
Write a short note on the reactivity of alkali metals towards air.
Answer:

  • The alkali metals forms their oxides in presence of dry air and tarnished.
  • These oxides reacts with moisture to form hydroxides.
  • They burn vigorously in oxygen and forms oxides.
    • Lithium forms Lithium monoxide.
    • Sodium forms monoxide with limited supply of oxygen and peroxide with excess of oxygen.
    • Other metals of this group forms super oxides. The super oxide ion (O2) is stable only in presence of large cations.

Reactions :
4Li + O2 → 2 Li2O
4Na + O2 (Limited) → 2 Na2O2
2Na + O2 (Excess) → Na2O2
K + O2 (Excess) → KO2
Lithium shows a different character. It reacts directly with nitrogen of air and forms Li3N (Lithium nitride).

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 4.
Give any two uses for each of the following metals.

  1. Lithium
  2. Sodium.

Answer:

  1. Uses of Lithium : –
  • ‘Li’ metal is used to make alloys.
    Eg: 1) Lithium with lead forms an alloy which is used for making white metal bearings for motor engines.
    2) Lithium with aluminium forms alloys which are used to make air craft parts.
  • ‘Li’ metal is used in thermo nuclear reactions.
  • ‘Li’ metal is used to make electro chemical cells.

2) Uses of sodium : –

  • Sodium metal is used to make Na and Pb alloy needed to make TEL. this TEL (tetra ethyl lead) is used as antiknock additives to petrol.
  • Liquid ‘Na’ metal is used as a coolant in fast breeder nuclear reactors.
  • ‘Na’ metal is used in the manufacturing of rabber.

Question 5.
Give an account of properties of washing soda.
Answer:
Properties of washing soda : –

  • Na2CO3 is a white crystalline solid.
  • Na2CO3 exists as a decahydrate Na2CO3. 10H2O which is called washing soda.
  • Na2CO3 is readily soluble in water.
  • Na2CO3 (deca hydrate) when heated it loses the water molecules and forms monohydrate. This monohydrate on heating above 373 K it forms anhydrous form which is called soda ash, a white powder.
    Reactions : –
    AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 2
  • Na2CO3 (aq) solution is alkaline (basic) in nature Because it under goes anionic hydrolysis. (PH > 7).
    CO3-2 + H2O → HCO3 + OH

Question 6.
Mention some uses of sodium carbonate.
Answer:
Uses :

  • Na2CO3 is used in the manufacturing of glass.
  • Na2CO3 is used in the manufacturing of borax, caustic soda.
  • Na2CO3 is used in paper, paints and textile industries. .
  • Na2CO3 is used in softening of water.
  • Na2CO3 is used in laundries.
  • Na2CO3 is used an important laboratory reagent both in qualitative and quantitative analysis.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 7.
How do you obtain pure sodium chloride from a crude sample ?
Answer:

  1. Crude sodium chloride is obtained by the crystallisation of brine solution.
  2. Crude sodium chloride contains sodium sulphate, calcium sulphate, calcium chloride and magnesium chloride.
  3. CaCl2 and MgCl2 are the impurities in the Crude NaCl because these absorb moisture easily from the atmosphere.
  4. Pure sodium chloride’s obtained by dissolving Crude NaCl in minimum amount of water and filtered to remove insoluble impurities.
  5. This solution is saturated with HCl gas. Then crystals of pure NaCl are separated out.
  6. Ca and Mg chloride are more soluble in solution than NaCl and these remained in the solution.

Question 8.
What do you know about Castner – Kellner process ? Write the principle involved in it.
Answer:

  • Castner – Kellner process is a commercial method used for the preparation of sodium hydroxide.
  • In this process sodium hydroxide is prepared by the electrolysis of sodium chloride in Castner – Kellner cell.
  • Brine solution is electrolysed using a mercury cathode and a carbon anode.
  • Sodium metal is formed at cathode and it combine with mercury to form sodium amalgam. Chlorine gas is evolved at anode.
  • The amalgam is treated with water to form, sodium hydroxide.
    Cell Reactions :
    2NaCl → 2Na+ + 2Cl
    2Na+ + 2e AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 3 2Na – amalgam
    2Cl → Cl2 + 2e
    2Na – amalgam + 2H2O → 2NaOH + 2Hg + H2
  • This process is also called as mercury cathode process.

Question 9.
Write a few applications of caustic soda.
Answer:
Uses :

  • It is used in petrol refining
  • It is used in the purification of bauxite.
  • It is used in manufacturing of soap, paper.
  • It is used in manufacturing of antificial silk.
  • It is used in manufacturing of so many chemically.
  • It is used in textile industries for mercerising cotton fabrics.
  • It is used in preparation of pure fats and oils.
  • It is used in as laboratory reagent.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 10.
Give an account of the biological importance of Na+ and K+ ions.
Answer:

  • Na+ ions participate in the transmission of nerve signals.
  • Na+ ions regulates the flow of water accross cell membranes.
  • Na+ ions responsible for transport of sugars and amino acids into cells.
  • K+ ions are useful in activating enzymes.
  • K+ ions participate in the oxidation of glucose to produce ATP.
  • K+ along with Na+ responsible for the transmission of nerve signals.

Question 11.
Mention the important uses of Mg metal.
Answer:

  1. Magnesium forms so many useful alloys with Al, Zn, Mn and Sn.
  2. Mg – Al alloys are useful in air – craft construction.
  3. Mg powder and ribbon is used in flash powders bulbs.
  4. Mg is used in incendiary bombs and signals.
  5. Milk of magnesice is used as antacid in medicine.
  6. MgCO3 is the main ingradient in tooth pastes.

Question 12.
Show that Be(OH)2 is amphoteric in nature.
Answer:

  1. Be(OH)2 is amphoteric in nature. This can be evidented by the following reactions.
  2. Be(OH)2 reacts with both acids and alkalis.
    Be(OH)2 + 2OH [Be(OH)4]2- (Beryllation)
    Be(OH)2 + 2HCl + 2H2O → [Be(OH)4]Cl2
  3. Hence Be(OH)2 is amphoteric in nature.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 13.
Write a note on anomalous behaviour of beryllium.
Answer:
Anomalous characters of Be:
As was already discussed in the earlier sections, the first element shows some differences from the properties of the other elements in the group. Be differs from the other alkaline earth metals because of its small size and high electronegativity. Be differs from the other elements in the following aspects.

  1. Be compounds are predominantly covalent due to its high polarizing power and its salts are readily Hydrolyzed.
  2. Be is not easily affected by dry air and does not decompose water at ordinary temperature.
  3. Be is an amphoteric metal. It dissolves in alkali solutions forming beryllates.
  4. Be SO4 is soluble in water whereas the sulphates of Ca, Sr and Ba are not soluble.
  5. Be and its salts do not respond to flame test while Ca, Sr and Ba give characteristic flame colours.
  6. Be forms many complexes while the heavier elements do not show a great tendency to form complexes.
  7. Be has a maximum covalency of 4 while other can have a maximum covalency of 6.

Question 14.
Be shows diagonal relationship with Al. Discuss.
Answer:

  1. ‘Be’ shows diagonal relation ship with ‘Al’.
  2. The ionic radius of Be+2 is nearly same as that of Al+3 so ‘Be’ resembles ‘Al’ in several ways.
  3. Al, Be both not readily reacts with acids. This is due to the presence of an oxide film on the surface of metal.
  4. Al(OH)3, Be(OH)2 both similarly dissolves in excess of alkali and forms Beryllate ion [Be(OH)3]2- and Aluminate [Al(OH)4] ions respectively.
  5. The chlorides of Be, Al have bridged chloride structures in vapour phase.
  6. Both the chlorides of Be, Al used as strong Lewis acids.
  7. Both the chlorides of Be, Al used in Friedal craft catalysts.
  8. Be, Al ions have strong tendency to form complexes.

Question 15.
What is Plaster of Paris ? Write a short note on it. [T.S. Mar. 16]
Answer:
Plaster of paris is the hemi hydrate of CaSO4 with formula CaSO4. \(\frac{1}{2}\)H2O.
Preparation: –
Plaster of paris is obtained by heating gypsum at 393 K.
AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 4

  1. If temperature is used greater than 393 K then an hydrous CaSO4 is formed which is called ‘dead burnt plaster’.
  2. Plaster of paris has an important property of setting with water.
  3. It forms a hard solid in 5 to 15 min. when it is mixed with suitable quantity of water.
  4. It is majorly used in building industry and as well as plasters.
  5. It is used in the bone fractures (or) sprain conditions.
  6. It is used in dentistry.
  7. It is used in manufacturing status and busts.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 16.
In what ways lithium shows similarities to magnesium in its chemical behaviour ?
Answer:
Diagonal relationship of Li : In the periodic table an element of a group in the 2nd period shows similar properties with the second element of the next group in the third period. This relation is known as diagonal relationship. For examples. Lithium and Magnesium show diagonal relationship. The elements show that diagonal relationship have similar polarizing powers, electronegativities, nature of the compounds. The diagonal similarity may be due to the effects of size and charge. For example, charge per unit area.
Lithium shows similarity to Magnesium in the following respects.
a) Lithium is slow to react with water. Magnesium decomposes water only in the hot condition.
2Li + 2H2O → + H2;
Mg + 2H2O → Mg(OH)2 + H2

b) Lithium combines directly with N2 forming nitride.
6Li + N2 → 2Li3N

c) Both Lithium and Magnesium give only monoxides Li2O, MgO.

d) Lithium chloride is deliquescent like MgCl2, LiCl undergoes hydrolysis to a smaller extent in hot water in a similar way to MgCl2.

e) Due to their covalent nature, the halides Lithium and Magnesium are soluble in organic solvents.

f) Both Li+ and Mg+2 are highly hydrated.

g) The Carbonates, Phosphates and Fluorides of both Li and Mg are sparingly soluble in water.

h) Lithium alkyls (Li+ R) are chemically similar to Grignard reagents in organic synthesis.

Question 17.
When an alkali metal dissolves in liquid ammonia the solution can acquire different colours. Explain the reasons for this type of colour change.
Answer:

  • The alkali metals dissolve in liquid NH3 and gives deep blue solutions. These are conducting in nature.
  • The blue colour of the solution is due to the ammoniated electrons which absorbs energy in the visible region of light and thus imparts blue colour to the solution.
  • These solutions are paramagnetic and on standing liberate hydrogen resulting in the formation of amide.
    M + (x + y) NH3 → [M(NH3)x]+ + [e(NH3)y]
    M(am)+ + e + NH3 → MNH2(am) + 1/2 H2(g)
  • In concentrated solution the blue colour Changes to bronze.colour on warming and becomes did magnetic.

Question 18.
What happens when

  1. Sodium metal is dropped in water ?
  2. Sodium metal is heated in a free supply of air ?
  3. Sodium peroxide dissolves in water ?

Answer:

  1. Sodium metal when dropped in water it reacts with water vigourously and liberates H2 gas.
    2Na + 2H2O → 2NaOH + H2
  2. Sodium metal is heated in free supply of air to form sodium peroxide.
    2Na + O2 → Na2O2 (sodium peroxide)
  3. Sodium peroxide dissolves in water and forms NaOH and hydrogen peroxide.
    Na2O2 + 2H2O → 2NaOH + H2O2

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 19.
States as to why
i) An aqueous solution of Na2CO3 is alkaline ;
ii) Alkali metals are prepared by the electrolysis of their fused chlorides ?
Answer:
i) An aqueous solution of Na2CO3 is alkaline. This is due to anionic (CO3-2) hydrolysis.
CO3-2 + H2O → HCO3-2 + OH
∴ PH > 7. So the solution is alkaline in nature.

ii) Chemically alkali metals are highly reactive and they are placed at top in the electro chemical series.
∴ Common methods of extraction of the metals are not applicable for the alkali metals. So electrolytic reduction of their used chlorides is the possible method for extracting alkali metals.
Eg: ‘Na’ metal obtained from fused ‘NaCl’.

Question 20.
How would you explain the following observations ?

  1. BeO is almost insoluble but BeSO4 is soluble in water ?
  2. BaO is soluble but BaSO4 is insoluble in water ?

Answer:

  1. BeO has amphoteric nature and the solubility in water is low because of its covalent nature.
    BeSO4 is soluble in water. This is due to greater hydration energy of Be+2 ion.
  2. BaO is soluble in water because of its ionic nature.
    BaSO4 is insoluble in water because of low hydration energy of Ba+2 ion.

Long Answer Questions

Question 1.
Justify the inclusion of alkali metals in the same group of the periodic table with reference to the following :
i) Electronic configuration
ii) Reducing nature
iii) Oxides and hydroxides.
Answer:
i) Electronic configuration : All the alkali metals have one valence electron, ns1.
AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 5
ii) Reducing nature :

  • Alkali metals are strong reducing agents.
  • ‘Li’ is most powerful reducing agent and ‘Na’ is poor reducing agent. .
    The standard electrode potential (E°) is the measure of reducing power.
  • ‘Li’ has highest hydration enthalpy. It has high negative S.E.P. (E°) hence it has high reducing power.

iii) Oxides and hydroxides : –

  • The alkali metals forms their oxides in presence of dry air and tarnished.
  • These oxides reacts with , .noisture to form hydroxides.
  • They burn vigorously in oxygen and forms oxides.
    1. Lithium forms lithium monoxide.
    2. Sodium forms monoxide with limited supply of oxygen and peroxide with’ excess of oxygen
    3. Other metals of this group forms super oxides. The super oxide ion (O2) is stable only in presence of large cations.

Reactions:
4Li + O2 → 2 Li2O
4Na + O2 (Limited) → 2 Na2O
2 Na + O2 (Excess) → Na2O2
K + O2 (Excess) → KO2
Lithium shows a different character. It reacts directly with nitrogen of air and forms Li3N (Lithium nitride).

  • Alkali metal oxides easily hydrolysed by water to form the hydroxides.
    Monoxide : M2O + H2O → 2MOH
    Peroxide : M2O2 + 2H2O → 2MOH + H2O2
    Superoxide : 2MO2 + 2H2O → 2MOH + H2O2 + O2
  • Oxides, peroxides are colourless whereas superoxides are coloured because of their para mag-netic property.
  • Hydroxides are white crystalline solids.
  • Hydroxides are strong bases and dissolved freely in water and evolve much heat.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 2.
Write an essay on the differences between lithium and other alkali metals.
Answer:
Anomalous properties of Lithium : In the periodic table some representative elements of different series show similarities, known as diagonal relationship. Li, of the alkali metals, show such a similarity with Mg of II group. That means it differs from alkali metals. Some of the important abnormal characters of lithium are given below.
a) Lithium is hard metal while other alkali metals are soft and can be cut with the knife. Its melting point and boiling point are high.

b) Lithium directly unites with N2 while no other alkali metal combines directly.
6Li + N2 → 2Li3N

c) Lithium element forms a carbide on direct combination. Group IA elements do not form directly. But all these elements are known to give carbides.

d) The solubilities of Lithium Hydroxide (LiOH), Lithium Carbonate (Li2CO3), Lithium Phosphate (Li3PO4) and Lithium Fluoride (LiF), are very less compared to the high solubilities of the other alkali metal compounds.

e) Lithium Hydroxide is a weaker alkali than the alkali metal Hydroxides. Basic nature of other alkali metal Hydroxides is more than Li(OH). Because of this Lithium Hydroxide Carbonate, nitrates are thermally unstable.

Question 3.
Discuss the preparation and properties of sodium carbonate.
Answer:
Preparation :

  • Sodium carbonate is prepared by solvay process.
  • In this process sodium chloride reacts with ammonium bicarbonate and gets precipitated the low soluble sodium bicarbonate.
  • The lather is prepared by passing CO2 into a concentrated solution of NaCl saturated with ammonia. Here (NH4)2CO3 followed by NH4 HCO3 are formed.
    Chemical equations involved :
    2NH3 + H2O + CO2 → (NH4)2 CO3
    (NH4)2 CO3 + H2O + CO2 → 2NH4HCO3
    NH4HCO3 + NaCl → NH4Cl + NaHCO3
  • The separated NaHC03 Crystals heated to get Na2CO3.
    2NaHCO3 → Na2CO3 + H2O + CO2
  • In this process ammonia is regenerated by Ca(OH)2.
    2NH4Cl + Ca(OH)2 → 2NH3 + CaCl2 + H2O

Properties of washing soda :

  • Na2CO3 is a white crystalline solid.
  • Na2CO3 exists as a decahydrate Na2CO3. 10H2O which is called washing soda.
  • Na2CO3 is readily soluble in water.
  • Na2CO3 (decahydrate) when heated it loses the water molecules and forms monohydrate. This monohydrate on heating above 373 K it forms anhydrous form which is called soda ash, a white powder.
    Reactions : –
    AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 2
  • Na2CO3 (aq) solution is alkaline (basic) in nature Because it under goes anionic hydrolysis. (PH > 7).
    CO3-2 + H2O → HCO3 + OH

Uses :

  • Na2CO3 is used in the manufactuing of glass.
  • Na2CO3 is used in the manufactuing of borax, caustic soda.
  • Na2CO3 is used in paper, paints and textile industries.
  • Na2CO3 is used in softening of water.
  • Na2CO3 is used in laundries.
  • Na2CO3 is used an important laboratory reagent both in qualitative and quantitative analysis.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 4.
Discuss the similarities between alkaline earth metals and gradation in the following aspects.
i) Electronic configuration
ii) Hydration enthalpies
iii) Nature of oxides and hydroxides.
Answer:
i) Electronic configuration :
The general electronic configuration of alkaline earth metals represented by [noble gas] ns2.
AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 6

ii) Hydration Enthalpies :

  • The hydration enthalpies of alkaline earth metal ions decrease with increase in ionic size down the group.
    Be+2 > Mg+2 > Ca+2 > Sr+2 > Ba+2
  • Hydration enthalpies of these elements ions are larger than those of alkali metal ions.
    Eg : MgCl2 MgCl2 . 6H2O
    CaCl2 CaCl2 . 6H2O

iii) Nature of oxides and hydroxides : –

  • Alkaline earth metals forms oxides of type MO.
  • These are formed by burning in oxygen.
  • BeO is amphoteric and covalent in nature whereas other oxides are ionic and basic in nature. Other oxides i.e., except BeO forms hydroxides with water.
    Eg : MgO + H2O → Mg(OH)2
  • The solubility, thermal stability and the basic character of these hydroxides increase with increase of atomic no. from Mg(OH)2 to Ba(OH)2. H
  • These hydroxides are less basic, less stable than alkali metal hydroxide.
  • Be(OH)2 is amphoteric in nature. This can be evidented by the following reactions.
  • Be(OH)2 reacts with both acids and alkalis.
    Be(OH)2 + 2OH [Be(OH)4]2- (Beryllation)
    Be(OH)2 + 2HCl + 2H2O → [Be(OH)4]Cl2
  • Hence Be(OH)2 is amphoteric in nature.

Question 5.
Discuss on;
i) Carbonates
ii) Sulphates and
iii) Nitrates of alkaline earth metals.
Answer:
i) Carbonates :

  • Alkaline earth metals forms MCO3 type carbonates.
  • These Carbonates are insoluble in water.
  • The solubility of these carbonates in water decreases as the atomic no.of the element increases.
  •  The thermal stability increases with increasing cationic size.
  • These carbonates decompose on heating to give CO2
    CaCO3 AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 7 Cao + CO2
  • BeCO3 is unstable and kept only in at atmosphere of CO2.

ii) Sulphates :

  • Alkaline earth metals forms MSO4 type sulphates.
  • These are white solids and are stable to heat.
  • BeSO4 and MgSO4 are readily soluble in water due to high hydration enthalies of Be2+, Mg2+.
  • The solubility decrease from CaSO4 to BaSO4.

iii) Nitrates :

  • Alkaline earth metals forms M(NO3)2 type Nitrates.
  • These are formed by the reaction of carbonates in dil.HNO3.
  • Mg(N03)2 crystallises with six water molecules and Ba(NO3)2 is an hydrous.
  • All of these decompose on heating to give the respective oxides.
    2M(NO3)2 → 2MO + 4NO2 + O2
    M = Be, Mg, Ca, Sr, Ba.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 6.
What are the common physical and chemical features of alkali metals ?
Answer:
Physical features :

  • Alkali metals are silvery white, soft and light metals.
  • These elements have low density which increases down the group from Li to Cs. (one exception density of K < density of Na).
  • The m.pts, b.pts of alkali metals are low.
  • Alkali metals and their salts impart characterstic colours to an oxidizing flame.

Reasons :
The heat from the flame excities the outer most orbital electron to a higher energy level. When the excited electron emitts the radiation and comes back to the ground state. This falls in the visible region.
AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 8

  • Alkali metals can be detected by the respective flame tests and can be determined by the flame photo metry (or) atomic absorption spectroscopy.
  • Alkali metals when irradiated with light, the light energy absorbed may be sufficient to make an atom lose electron. .
  • This makes calsium and potassium useful as electrodes in photo electric cells.

Chemical features : –
i) Reactivity towards Air : —

  • The alkali metals forms their oxides in presence of dry air and tarnished.
  • These oxides reacts with moisture to form hydroxides.
  • They burn vigorously in oxygen and forms oxides.
    1. Lithium forms Lithium monoxide.
    2. Sodium forms monoxide with limited supply of oxygen and peroxide with excess of oxygen.
    3. Other metals of this group forms super oxides. The super oxide ion (O2) is stable only in presence of large cations.
  • Reasons :
    4Li + O2 → 2 Li2O
    4Na + O2 (Limited) → 2 Na2O
    2Na + O2 (Excess) → Na2O2
    K + O2 (Excess) → KO2
  • Lithium shows a different character. It reacts directly with nitrogen of air and forms Li3N (Lithium nitride).

ii) Reactivity with H2: Alkali metals react with H2 directly at 300 – 600° C and form hydrides. The reaction can be written as follows :
AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 9
Where M = Li, Na, K, Rb or Cs. These hydrides are ionic in nature. Their ionic nature increases with the metalic nature of alkali metals.

iii) Reactivity with halogens : All the alkali’ metals react with halogens to give the binary compounds. The chemical reactivity in the alkali metals increases with increase in atomic number.
2M + X2 → 2MX (where M is any alkali metal)
All the metal halides are ionic compounds.

iv) Reactivity with water : The alkali metals decompose water vigorously and liberate hydrogen gas! The chemical reactivity of these metals increases as the atomic number increases. The metal hydroxides are formed.
2M + 2H2O → 2MOH + H2
Where M = any one of the alkali metals.

ii) Reducing nature :

  • Alkali metals are strong reducing agents.
  • ‘Li1 is most powerful reducing agent and ‘Na’ is poor reducing agent.
  • The standard electrode potential (E°) is the measure of reducing power.
  • ‘Li’ has highest hydration enthalpy. It has high negative S.E.P. (E°) hence it has high reducing power.
  • The alkali metals dissolves in liquid NH3 and gives deep blue solutions. These are conducting in nature.
  • The blue colour of the solution is due to the ammoniated electrons which absorbs energy in the visible region of light and thus imparts blue colour to the solution.
  • These solutions are paramagnetic and on standing Liberate hydrogen resulting in the formation of amide.
    M + (x + y) NH3 → [M(NH3)x]+ + [e(NH3)y]
    M(am)+ + e + NH3 → MNH2(am) + 1/2 H2(g)
  • In concentrated solution the blue colour Changes to bronze.colour on warming and becomes did magnetic.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 7.
Discuss the general characterstics and gradation in properties of alkaline earth metals.
Answer:
The general characterstics and gradation in properties of alkaline earth metals follows.
i) Oxides and hydroxides :

  • Alkaline earth metals forms oxides of type Mo.
  • These are formed by burning in oxygen.
  • BeO is amphoteric and covalent in nature where as other oxides are ionic and basic in nature.
  • Other oxides i.e., except Beo forms hydroxides with water.
    Eg : MgO + H2O → Mg(OH)2
  • The solubility, thermal stability and the basic character of these hydroxides increase with increase of atomic no. from Mg(OH)2 to Ba(OH)2.
  • These hydroxides are less basic, less stable than alkali metal hydroxide.
  • Be(OH)2 is amphoteric in nature. This can be evidented by the following reactions.
  • Be(OH)2 reacts with both acids and alkalis.
    Be(OH)2 + 2OH [Be(OH)4]2- (Beryllation)
    Be(OH)2 + 2HCl + 2H2O → [Be(OH)4]Cl2
  • Hence Be(OH)2 is amphoteric in nature.

ii) Halides:-

  • These forms MX2 type halides.
  • Except Be – halides, all other halides of these metals are ionic.
  • Be – halides are covalent and soluble in organic solvents.
  • In vapour phase BeCl2 forms a bridged dimer which disociates into monomer at high temperatures (around 1200 k)
    Cl – Be – Cl
  • In solid state BeCl2 has a chain structure.
    AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 10
  • The tendency to form halide hydrates gradually decreases – down the group.
    Eg : MgCl2, 8H2O, CaCl2, 6H2O, BaCl2. 2H2O.
  • Ca, Sr and Ba halides, dehydration can be done by heating.
  • Fluorides are less soluble than the chlorides due to their high lattice energies.

i) Carbonates :

  • Alkaline earth metals forms MCO3 type carbonates.
  • These Carbonates are insoluble in water.
  • The solubility of these carbonates in water decreases as the atomic no.of the element increases.
  • The thermal stability increases with increasing cationic size.
  • These carbonates decompose on heating to give CO2
    CaCO3 AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 7 Cao + CO2
  • BeCO3 is unstable and kept only in at atmosphere of CO2.

ii) Sulphates:

  • Alkaline earth metals forms MSO4 type sulphates.
  • These are white solids and are stable to heat.
  • BeSO4 and MgSO4 are readily soluble in water due to high hydration enthalpies of Be2+, Mg2+.
  • The solubility decrease from CaSO4 to BaSO4.

iii) Nitrates:

  • Alkaline earth metals forms M(NO3)2 type Nitrates.
  • These are formed by the reaction of carbonates in dil.HNO3.
  • Mg(NO3)2 crystallises with six water molecules and Ba(NO3)2 is an hydrous.
  • All of these decompose on heating to give the respective oxides.
    2M(NO3)2 → 2MO + 4NO2 + O2
    M = Be, Mg, Ca, Sr, Ba.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 8.
Discuss the various reactions that occur in the solvay process. [A.P. Mar. 16]
Answer:
Preparation:

  • Sodium carbonate is prepared by solvay process.
  • In this process sodium chloride reacts with ammonium bicarbonate and gets precipitated the low soluble sodium bicarbonate. ‘
  • The lather is prepared by passing CO2 in to a concentrated solution of NaCl saturated with ammonia. Here (NH4)2CO3 followed by NH4 HCO3 are formed.
  • Chemical equations involved:
    2NH3 + H2O + CO2 → (NH4)2 CO3
    (NH4)2 CO3 + H2O + CO2 → 2NH4HCO3
    NH4HCO3 + NaCl → NH4Cl + NaHCO3
  • The separated NaHCO3 Crystals heated to get Na2CO3.
    2NaHCO3 → Na2CO3 + H2O + CO2
  • In this process ammonia is regenerated by Ca(OH)2.
    2NH4Cl + Ca(OH)2 → 2NH3 + CaCl2 + H2O

Question 9.
Starting with sodium chloride how would you proceed to prepare
i) Sodium metal
ii) Sodium hydroxide
iii) Sodium peroxide
iv) sodium carbonate.
Answer:
i) Fused NaCl on electrolysis gives sodium metal.
2NaCl → 2Na+ + 2Cl
2Na+ + 2e → 2Na (Cathode)
2Cl → Cl2 + 2e (anode)

ii)

  • Castner-Kellner process is a commercial method used for the preparation of sodium hydroxide.
  • In this process sodium hydroxide is prepared by the electrolysis of sodium chloride in Castner – Kellner cel..
  • Brine solution is electrolysed using a mercury cathode and a carbon anode.
  • Sodium metal is formed at cathode and it combine with mercury to form sodium amalgam. Chlorine gas is evolved at anode.
  • The amalgam is streated with water to form sodium hydroxide.
    Cell Reactions:
    2NaCl → 2Na+ + 2Cl
    2Na+ + 2e AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 11 2Na – amalgam
    2Cl → Cl2 + 2e
    2Na-amalgam + 2H2O → 2NaOH + 2Hg + H2
  • This process is also called as mercury cathode process.

iii) The obtained Na – metal reacts with excess of oxygen to form sodium peroxide.
2Na + O2 → Na2O2 (Sodium peroxide.)

iv) Preparation:

  1. Sodium carbonate is prepared by solvay process.
  2. In this process sodium chloride reacts with ammonium bicarbonate and gets precipitated the low soluble sodium bicarbonate.
  3. The lather is prepared by passing CO2 into a concentrated solution of NaCl saturated with ammonia. Here (NH4)2CO3 followed by NH4 HCO3 are formed.

Question 10.
What happens when
i) Magnesium is burnt in air ?
ii) Quick lime is heated with silica
iii) Chlorine reacts with slaked lime
iv) calcium nitrate is strongly heated.
Answer:
i) Magnesium burns with dazzling brilliance in air to give MgO and Mg3N2.
2Mg + O2 →2MgO
3Mg + N2 → Mg3N2

ii) Quick lime heated with silica to form calcium silicate
Cao + SiO2 → CaSio3

iii) Slaked lime reacts with chlorine gas to form bleaching powder.
AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 12

iv) Calcium nitrate on strong heating to form respective oxide
2Ca(NO3)2 → 2CaO + 4NO2 + O2.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 11.
Explain the significance of sodium, potassium, magnesium and calcium in biological fluids.
Answer:
Biological importance of Na, K.

  • Na+ ions participate in the transmission of nerve signals.
  • Na+ ions regulates the flow of water accross cell membranes.
  • Na+ ions responsible for transport of sugars and amino acids into cells.
  • K+ ions are useful in activating enzymes.
  • K+ ions participate in the oxidation of glucose to produce ATP.
  • K+ along with Na+ responsible for the transmission of nerve signals.

Biological importance of Mg and Ca :
Role of Mg2+ in biology :

  1. Mg2+ ions are concentrated in animal cells.
  2. Enzymes like “phosphohydrolases1 and ‘Phospho transferases’ contain Mg2+ ions. These enzymes participate in ATP reactions and release energy in the process. Mg2+ forms a complex with ATP.
  3. Mg2+ is a constituent of chlorophyll, the green component of plants.

Role of Ca+2:
About 99% of body calcium is present in bones and teeth. It also plays important roles in neuromuscular function, interneuronal transmission, cell membrance integrity and blood coaqulation.

The calcium concentration in plasma is regulated at about 100 mg/Lit. It is maintained by two hormones, calcitonin and parathyroid hormone. Ca2+ ion are necessary for muscle contraction.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 12.
Write few lines about cement ?
Answer:

  • Cement is an important building material.
  • It is also called portland cement.
  • Cement is obtained by combining a material rich in lime, CaO with other material such as clay which contains Sio2 along with the oxides of Al, Fe and Mg.
  • Composition of port land cement is
    Cao – 50 – 60%
    Sio2 – 20 – 25%
    Al2O3 – 5 – 10%
    Mgo – 2 – 3%
    Fe2O3 – 1 – 2%
    and SO2 – 1 – 2%
  • For a good quality of cement the ratio of SiO2 to Al2O3 is between 2.5 and 4 and the ratio of lime (Co) to the total of the oxides of SiO2, Al2O3 and Fe2O3 is as close as ‘2’.
  • The raw materials used for the manufacture of cement are lime stone and clay.
    Clay + lime AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements 13 cement clinker.
  • This cement clinker mixed with 2 – 3% by wt. of gypsum to form cement.
  • Important ingradients in portland cement are
    Ca2SiO4 – 26%, Ca3SiO5 – 51 % and Ca3Al2O6 – 11 %

Setting of Cement: –

  • Cement mixed with water to give a hard mass i.e setting of cement takes place.
  • This is due to the hydration of molecules of the cement.
  • The purpose of adding gypsum is to slow down the process of setting and to get sufficiently hardness.

Uses:

  • It is used in concrete and rein forced concrete.
  • It is used in plastering.
  • It is used in construction of bridges, dams and buildings.

Solved Problems

Question 1.
What is the oxidation state of K in KO2 ?
Solution:
The superoxide species is represented as O2; since the compound is neutral, the oxidation state of potassium is +1.

Question 2.
The EΘ for Cl2 / Cl is + 1.36, for I2/I is + 0.53, for Ag+/Ag is + 0.79, Na+/Na is – 2.71 and for Li+/Li is – 3.04. Arrange the following ionic species in decreasing order of reducing strength : I, Ag, Cl, Li, Na
Solution:
The order is Li > Na > I > Ag > Cl.

AP Inter 1st Year Chemistry Study Material Chapter 9 The s-Block Elements

Question 3.
Why is KO2 paramagnetic ? [T.S. Mar. 16]
Solution:
The superoxide O2 is paramagnetic because of one unpaired electron in π*2p molecular orbital.

Question 4.
Why does the solubility of alkaline earth metal hydroxides in water increases down the group ?
Solution:
Among alkaline earth metal hydroxides, the anion being common the cationic radius will influence the lattice enthalpy. Since lattice enthalpy decreases much more than the hydration enthalpy with increasing ionic size, the solubilit y increases as we go down the group.

Question 5.
Why does the solubility of alkaline earth metal carbonates and sulphates in water decrease down the group ?
Solution:
The size of anions being much larger compared to cations, the lattice enthalpy will remain almost constant within a particular group. Since the hydration enthalpies decrease down the group, solubility will decrease as found for alkaline earth metal carbonates and sulphates.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 8th Lesson Hydrogen and its Compounds Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 8th Lesson Hydrogen and its Compounds

Very Short Answer Questions

Question 1.
The three isotopes of hydrogen differ in their rates of reaction. Give the reasons.
Answer:
The three isotopes of hydrogen differ in their rates of reactions due to their different enthalpies of bond dissociation.

Question 2.
Why is dihydrogen used in the welding of high melting metals?
Answer:
Dihydrogen is used in welding high melting metals because the atomic hydrogens which are formed by the dissociation of dihydrogen are recombined on the surface of the metal to be welded and produce a high temperature of 4000 K.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 3.
Describe one method of producing high purity hydrogen.
Answer:
Highly pure hydrogen is obtained by the electrolysis of hot aq.Ba(OH)2 solution between nickel electrodes. The purity of hydrogen is about more than 99.95%.

Question 4.
Explain the term “SYNGAS”.
Answer:
The mixture of CO and H2 which is used for the synthesis of methanol and a number of hydrocar-bons is called “SYNGAS”. It is also called as synthesis gas.
Preparation :
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 1
This reaction is called ‘Coal gasification’.

Question 5.
What is meant by coal gasification ? Explain with relevant, balanced equation.
Answer:
The process of producing synthesis gas (SYNGAS) by using coal at 1270K temperature is called coal gasification.
Balanced equation :
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 2

Question 6.
Define the term Hydride. How many categories of hydrides are known ? Name them.
Answer:
The binary compounds of hydrogen formed by the other elements except noble gases are called hydrides.
Hydrides are categorised into three types.

  1.  Ionic hydrides
  2. Covalent hydrides
  3. Metallic hydrides

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 7.
The unusual property of water in condensed phase leads to its high heat of vapourization. What is that property ?
Answer:
In water inter molecular hydrogen bonding is present. Due to this unusual property water has high Freezing point. Boiling point and high heat of vapourization.

Question 8.
During photosynthesis, water is oxidised to O2. Which element is reduced ?
Answer:
During photosynthesis, the element reduced is carbon.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 3
Oxidation state change from +4 to 0 [Reduction]

Question 9.
What do you mean by autoprotolysis ? Give the equation to represent the autoprotolysis of water.
Answer:
Water has the ability to behave as an acid as well as base. It behaves as an amphoteric substance. The self-ionising property of water is called auto protolysis.
The equation that represent the auto protolysis of water is as follows.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 4

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 10.
Water behaves as an amphoteric substance in the Bronsted sense. How do you explain ?
Answer:
According to Bronsted proton donor is acid and acceptor is base. Water has the ability to behave as an acid as well as base. So it is an amphoteric substance.
Eg :

  1. Water acts as acid with ammonia.
    H2O(l) + NH3(aq) ⇌ OHΘ(aq) + \(\mathrm{NH}_{4 \text { (aq) }}^{\oplus}\)
    Here water is proton donor.
  2. Water acts as base with H2S.
    H2O(l) + H2S(aq) ⇌ H3O(aq) + HSΘ(aq)
    Here water is proton acceptor.

Short Answer Questions

Question 1.
The boiling points of NH3 ; H2O and HF are higher than those of hydrides of the subsequent members of the group. Give your reasons.
Answer:
The boiling points of NH3, H2O and HF are higher than those of hydrides of the subsequent mem-bers of the group.
Reasons :

  • NH3, H2O and HF are electron rich hydrides and these have 1, 2 and 3 lone pairs respectively.
  • Due to the presence of lonepairs on the high electronegative elements results in the formation of hydrogen bond [i.e. intermolecular hydrogen bonding].
  • Due to the formation of hydrogen bond association of molecules takes place. Hence these hydrides has high boiling points.

Question 2.
Discuss the position of hydrogen in the periodic table on the basis of its electronic configuration.
Answer:
Hydrogen is the simplest element with one electron and proton. Its electronic configuration is 1s. The configuration is responsible for its dual nature. It behaves both like alkali metals and halogens. So it can be placed along with alkali metals (IA) or along with halogens (VIIA).
Points in support of placing it in IA group :
a) Like alkali metals hydrogen also has a single electron in the outer shell 1s1,
b) Its ability to form hydrated unipositive ion, H+ (aq).
c) It is quite reasonable to start the periodic table with an element having the least atomic number (Z = 1).

Points in support of placing it in VIIA group :
a) Hydrogen is a gas like fluorine or chlorine.

b) It can form diatomic molecule like halogens.

c) It has a tendency of gaining an electron and attains a stable electronic configuration of He forming H+ ion like halogens.
At the same time it should be noted that hydrogen has not such a great tendency to lose electron like alkali metals and gain an electron like halogens. In view of this it is difficult to assign any definite position to hydrogen. Sometimes it is placed in IA group and sometime with VIIA group.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 3.
How is the electronic configuration of hydrogen suitable for its chemical reactions ?
Answer:
Electronic configuration of hydrogen is 1s1.

  • The atomic hydrogen obtained from dihydrogen by the treatment with UV rays does combine with allmost all the elements.
  • This atomic hydrogen successfully complete the reactions,
    a) By the loss of one electron to give H.
    b) By the gain of one electron to form HΘ and
    c) By the sharing of electrons to form a single covalent bond.
    Eg : 1) H2(g) + F2(g) → 2HF(g)
    2) 2Li(s) + H2(g) → 2LiH

Question 4.
What happens when dihydrogen reacts with
a) Chlorine and
b) Sodium metal. Explain.
Answer:
a) Reaction of dihydrogen with chlorine : Hydrogen reacts with chlorine to form hydrogen chloride gas. This reaction occurs in presence of sun light.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 5
b) Reaction of dihydrogen with sodium metal : Hydrogen reacts with highly reactive metal like sodium and forms sodium hydride. The reaction occur at a high temperature.
2Na(s) + H2(g) → 2NaH(s)

Question 5.
Write a note on heavy water.
Answer:
Deuterium oxide (D2O) is known as heavy water.
Peparation : Heavy water is obtained by the exhaustive electrolysis of water.

The physical properties like molecular mass, melting point, Boiling point etc., of D2O are heavier than watet. But dielectric constant and solubility are low for heavy water when compared to water.

Chemical properties :
a) Heavy water reacts with calcium carbide and forms Deuteroacetylene.
CaC2 + 2D2O → C2D2 + Ca(OD)2

b) Heavy water reacts with sulphur trioxide and forms Deutero sulphuric acid.
SO3 + D2O → D2SO4

c) Heavy water reacts with Aluminium carbide and forms Deutero methane.
Al4C3 + 12D2O → 3CD4 + 4Al (OD)3
Uses :

  • It is used as a moderator in nuclear reactors to decrease the speed of neutrons.
  • It is used to study the reaction mechanism in exchange reactions.
  • It is used for the preparation of deuterium and deuterium compounds.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 6.
Name the isotopes of hydrogen. What is the ratio of masses of these isotopes ?
Answer:
Hydrogen has three isotopes.

  1. Protium (1H1)
  2. Deuterium (1H2 (or) D)
  3. Tritium (1H3 or T)

Tritium is radioactive isotope.

  • The ratio of masses of these isotopes is 1 : 2 : 3 respectively for protium, deuterium and Tritium.
  • Protium has no neutrons, deuterium has one neutron and tritium has two neutrons.

Question 7.
What is water – gas shift reaction? How can the production of dihydrogen be increased by this reaction?
Answer:
The mixture of CO and H2 is called water gas. It is also called ‘Syngas’.
Water-gas shift reaction : When carbon monoxide of the syngas mixture reacted in presence of Iron chromate as catalyst then the reaction is called as water-gas shift reaction.
By using this reaction dihydrogen production can be increased.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 6
In this reaction CO2 gas is removed by using sodiumarsenite solution by scrubbing.

Question 8.
Complete and balance the following reactions :
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 7
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 8

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 9.
What is the nature of the hydrides formed by elements of 13 group ?
Answer:
Group 13 elements are belongs to p-block of periodic table.
Generally p-block elements forms covalent (or) molecular hydrides.
These molecular hydrides are further classified into 3 types

  1. Electron deficient hydrides
  2. Electron – precise hydrides
  3. Electron – rich hydrides

Group – 13 elements forms electron deficient hydrides. Electron deficient hydrides are the molecular hydrides which have less no.of electrons to write the lewis structure.
Eg : Diborane (B2H6)

These hydrides acts as Lewis acids. Lewis acids accepts electron pairs and forms co-ordinate covalent bonds with donors.

Question 10.
Discuss the principle and the method of softening of hard water by synthetic, ion- exchange resins.
Answer:
Synthetic ion – exchange resins method :

  • In present days, this method is mostly used for softening the hard water by using synthetic resins.
  • This method is more useful than zeolite (or) permutit process.

Principle : Formation of de-ionised water (or) de mineralised water by passing the water successively through cation exchange and anion exchange resins.

De-ionised water means, water which is free from all soluble mineral salts.

Process : The de-ionization of water can be done in two steps by this process.
Step – I: Cation exchange process.
Step – II: Anion exchange process.

Step – I: Cation exchange process

In this process synthetic resins used are – So3H group containing large organic molecule. (R-SO3H)
Here R = organic group (or) resin anion.

  • At first the synthetic resin converted to RNa by reacting it with NaCl.
  • This resin i.e; RNa exchanges Ca+2 and Mg+2 ions of hard water and the softening of water takes place.
    2RNa(s) + \(\mathrm{M}_{(\mathrm{aq})}^{+2}\) → R2M(s) + 2\(\mathrm{Na}_{(\mathrm{aq})}^{+}\)
  • The resin can be regenerated by using aq.NaCl solution.
  • In this step H+ ions exchanges Na+, Ca+2, Mg+2 and proton formation takes place.
    2RH(s) + \(\mathrm{M}_{(\mathrm{aq})}^{+2}\) ⇌ MR2(s) + 2\(\mathrm{H}_{(\mathrm{aq})}^{+}\)

Step – II: Anion exchange process :

  • In this process resins used are RNH3OH i.e., a basic compound.
  • The OH ions of resin exchanges the’anions Cl, SO4-2, HCO3 etc., and OHΘ ion formation takes place.
    AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 9
  • The H+ ions and OH ions obtained in the two steps are get neutralised to form de-ionised water.
    \(\mathrm{H}_{(\mathrm{aq})}^{+}+\mathrm{OH}_{(\mathrm{aq})}^{-} \longrightarrow \mathrm{H}_2 \mathrm{O}_{(l)}\)
  • The cation exchange resins and anion exchange resins are regenerated by treatment with dil.acid and base respectively.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 11.
Write a few lines on the utility of hydrogen as a fuel. [Mar. 13]
Answer:
Hydrogen as a fuel :
The heat of combustion of hydrogen is high i.e about 242kj/mole. Hence hydrogen is used as industrial fuel.

  • The energy released by the combustion of dihydrogen is more than the petrol (3 times).
  • Hydrogen is major constituent in fuel gases like coal gas and water gas.
  • Hydrogen is also used in fuel cells for the generation of electric power.
  • 5% dihydrogen is used in CNG for running four-wheeler vehicles:
  • By hydrogen economy principle the storage and transportation of energy in the form of liquid (or) gaseous state. Here energy is transmitted in the form of dihydrogen and not as electric power.

Question 12.
A 1% solution of H2O2 is provided to you. What steps do you take to prepare pure H2O2 from it ?
Answer:
To obtain pure H2O2 from the provided 1% H2O2 the following steps are involved.

Step -1:
The provided 1% H2O2 solution is carefully evoparated on a water bath under reduced pressure by distillation.
Here approximately 30% H2O2 solution is obtained.

Step – II :
The obtained solution in the above step is heated in a distillation flask at a low pressure of 15mm. Here approximately 85% H2O2 solution is obtained.

Step – III :
The above sample (obtained in the step – II) crystallised by freezing and pure H2O2 is obtained (≅ 100%).

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 13.
Mention any three uses of H2O2 in modern times.
Answer:
Uses of H2O2 in modern times :

  • H2O2 is used in modern times in Green chemistry to control the pollution.
    Eg : It is used in the treatment of domestic and industrial effluents and in the oxidation of cyanides.
  • H2O2 is used in manufacturing of Sodium perborate and sodium per carbonates. These are used in high quality detergents.
  • H2O2 is used in certain food products and in certain pharmaceuticals.
  • H2O2 is used as bleaching agent to bleach paper pulp, leather etc.
  • H2O2 is used as an antiseptic and in hair bleach.

Long Answer Questions

Question 1.
Write an essay on the commercial preparation of dihydrogen. Give balanced equations.
Answer:
Commercial methods of preparation of dihydrogen
i) From Hydrocarbons : When hydrocarbons undergo reaction with steam at high temperatures in presence of catalyst liberates hydrogen gas.
Eg : C3H 8(g) + 3H2°(g) AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 10 3CO + 7H2

ii) By the electrolysis of water : Acidified (or) alkaline water undergo electrolysis using platinum electrodes liberates hydrogen gas.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 11
Highly pure hydrogen is liberated by the electrolysis of hot aq. Ba(OH)2 by using ‘Ni’ electrodes.

iii) By Nelson’s Process : Hydrogen gas is obtained as a Byproduct by the electrolysis of brine solution. This process is mainly used for the manufacturing of NaOH, \(\mathrm{Cl}_2^{-}\) gas.
Cell Reactions : –
2NaCl → 2Na+ + 2Cl
2Cl → Cl2 + 2e (Anode)
2H2O + 2e → H2 + 2OH (Cathode)
2Na+ + 2OH → 2 NaoH

iv) By water gas shift reaction : Water gas is the mixture of CO and H2. It is also called as syngas. The process of producing syngas from coal is called as coal gasification.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 12
The dihydrogen production can be increased by the reaction of steam with syngas in presence of catalyst.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 13
This reaction is called as water gas shift reaction.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 2.
Illustrate the chemistry of dihydrogen by its reaction with
i) N2
ii) Metal ions and metal oxides and
iii) Organic compounds. How is dihydrogen used in the manufacture of chemicals ?
Answer:
i) Reaction with N2: Dihydrogen reacts with nitrogen in presence of iron catalyst to form ammonia.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 14
This process is called as Haber’s process. Here temperature used is around 700K and pressure used is 200 atm.

ii) a) Reaction with metal ions : Hydrogen reduces metal ions in aqueous solution into metals.
H2(g) + \(\mathrm{Pd}_{(\mathrm{aq})}^{+2}\) → Pd(s) + \(2 \mathrm{H}_{\text {(aq) }}^{+}\)

b) Reaction with metal oxides : Hydrogen reduces metal oxides into metals.
WO3 + 3H2 → W + 3H2O

iii) Reaction with organic compounds :
a) Vegetable oils undergoes hydrogenation in presence of ‘Ni’ catalyst and forms vanaspathi.
b) Alkenes undergo hydro formylation and forms aldehydes. These aldehydes undergo reduction to form alcohols.
CH2 = CH2 + CO + H2 → CH3 – CH2CHO (Aldehyde)
CH3CH2CHO + H2 → CH3CH2CH2OH (Alcohol )

Use of Dihydrogen in the manufacture of chemicals
Dihydrogen is used in the manufacturing of industrial cherfiicals like methanol, ammonia, hydrogen chloride etc.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 15

Question 3.
Explain, with suitable examples, the following :

  1. electron deficient
  2. electron – precise and
  3. electron – rich hydrides.

Answer:
Molecular hydrides (or) covalent hydrides are formed by the p-block elements.

These molecular hydrides are divided into three types.

  1. Electron deficient hydrides
  2. Electron – precise hydrides
  3. Electron – rich hydrides

1) Electron – deficient hydrides : These are the molecular hydrides in which the available no.of valency electrons is less than the number-required for normal covalent bond formation.
(or) .
These are the molecular hydrides in which the available valency electrons are lessthan the required for writting the Lewis structure of the molecule.
Eg : (AlH3)n, B2H6 etc.
These hydrides acts as Lewis acids i.e. electron pair acceptors. These forms dative bond with donors.

2) Electron – precise hydrides : These are the molecular hydrides in which all the valency electrons of the central atom are involved in bond formation.
(or)
These are the molecular hydrides which contains the required no.of valency electrons to write the Lewis structure of the molecule.
Eg : Group 14 elements forms this type of hydrides CH4, C2H6 etc., are examples of this type.
These have tetrahedral geometry.

3) Electron – rich hydrides :
These are the molecular hydrides in which the valency electrons on the central atom are more than that are required for bond formation.
(or)

  • These are the molecular hydrides in which the available valency electrons are more than the required for writting the Lewis structure of the molecule.
  • These hydrides contains lone pairs on central atoms.
    Eg : AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 16
    These hydrides have high boiling points than those of the hydrides of the subsequent members of group because of hydrogen bond formation.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 4.
Write in brief on
i) ionic hydrides
ii) interstitial hydrides.
Answer:
i) Ionic hydrides : These are also called as saline hydrides (or) salt like hydrides.
* These are the hydrides formed by combining di hydrogen with s-block elements (Electro posi-tive elements).
* These are stoichiometric compounds.
Eg : LiH, NaH, CaH2 etc.
NaH is formed by the direct union of Na and H2
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 17
Physical properties :

  • These hydrides are crystalline.
  • These hydrides are non volatile and non – conducting in solidstate.
  • These conducts electricity in moltenstate.
  • These have high melting points.

Chemical properties :
These hydrides on electrolysis, liberates dihydrogen gas at anode.
2H → H2(g) + 2e [Anode]
Lithium hydride is used in the synthesis of other useful hydrides like LiAlH4 and LiBH4.
8LiH + Al2CL6 → 2LiAlH4 + 6LiCl
2LiH + B2H6 → 2LiBH4
2NaH + B2H6 → 2NaBH4
These hydrides react with acids and water vigorously and liberate dihydrogen.
LiH + H2O → LiOH + H2

ii) Interstitial hydrides : These are the hydrides formed by the reaction of hydrogen with d-block and f-block elements. These are also called as metallic hydrides.
Eg : CrH, CrH2, ZnH2, ThH2

  • The hydrogen of the metallic hydride occupy the intersticies of metallic lattice. Hence these are called as Interstitial hydrides.
  • These are non-stiochiometric compounds
    Eg : TiH1.5-1.8 LaH2.87 etc-
  • In these hydrides law of constant composition does not found.
  • Metals of group 7, 8 and 9 do not form hydrides and in group 6 only chromium forms hydrides.
  • The conductivity of these hydrides is less than the parent metals.
  • The formation of metallic hydrides and their capacity to release hydrogen at high temperature are utilised in the purification of H2.
  • Some metals can accomodate a very large volume of hydrogen and acts as storage media.

Question 5.
Explain any four of the chemical properties of water.
Answer:
i) Hydrolysis Reaction : The chemical interaction of a compound with water is called as hydrolysis. -» Water has high hydrating ability because of high dielectric constant.
Covalent as well as ionic compounds undergo hydrolysis.
Eg: P4O10(s) + 6H2O(l) → 4H3PO4(aq) (orthophosphoric acid)
NCl3 + 3H2O → NH3 + 3HOCl
SiCl4 + 2H2O → SiO2 + 4HCl

ii) Formation of hydrogen : Water can be reduced to dihydrogen by reacting with highly elec-tropositive metals.
2Ma(s) + 2H2O(l) → 2NaOH(aq) + H2(g)
Water is an important source of dihydrogen.

iii) Photosynthesis reaction : During photo synthesis reaction water gets oxidised to O2.
6CO2(g) + 6H2O(l) → C6H12O6(aq) + 6O2(g)

iv) Hydrates formation : By the association of water molecules of different types hydrated salts formed from the crystallisation of salts.
Eg : BaCl2.2H2O, CuSO4. 5H2O

v) Amphoteric Nature : Water has the ability to act as an acid as well as base. It is an amphoteric substance.
Eg: i) H2O(l) + NH3(aq) ⇌ OH(aq) + NH4+(aq)
In this reaction H2O acts as Bronsted acid.
ii) H2O(l) + H2S(aq) ⇌ H3O+(aq) + HS(aq)
In this reaction H2O acts as Bronsted base.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 6.
Explain the terms hard water and soft water. Write a note on the
i) ion-exchange method and
ii) calgon method for the removal of hardness of water.
Answer:
Hard water : Water does not give lather readily with soap is called hard water.
Hard water contains hardness. This hardness is due to presence of Ca, Mg soluble salts.
Presence of Ca, Mg – bicarbonates causes temporary hardness.
Presence of Ca, Mg – chlorides, sulphates causes permanent hardness.

Soft water: Water which give lather immediately with soap is called soft water.
(or)
Water which is free from soluble salts of Ca, Mg is called soft water.

i) Ion – Exchange method :
This method is useful to remove the permanent hardness of water.

  • This method is also named as permutil (or) zeolite process.
  • Permutit is the artificial zeolite, j.e sodium aluminium orthosilicate. (Na2Al2Si2O8xH2O (or) NaAlSiO4)
  • Permutit is written in short form as Naz.
  • When permutit is added to hard water, the following ion-exchange reactions takes place.
    AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 18
  • Caz2 and Mgz2 are called as exhausted permutit. These are regenerated to permutit by the treatment with brine solution.
    \(\mathrm{Caz}_{2_{(5)}}+2 \mathrm{Na}_{(\mathrm{aq})}^{+} \longrightarrow 2 \mathrm{Naz}_{(\mathrm{s})}+\mathrm{Ca}_{(\mathrm{aq})}^{+2}\)

ii) Calgon process : [A.P. Mar. 16]

  • Calgon is sodium hexametaphosphate. [Na6P6O18 (or) (NaPO3)6]
  • Calgon does not precipitate the Ca (or) Mg – salts but removes Ca+2 and Mg+2 ions from water. -4 The removal of Ca+2 (or) Mg+2 ions from water may takes place either by adsorption (or) by complex formation.
  • Reactions :
    AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 19

Question 7.
Write the chemical reaction to justify that hydrogen peroxide can function as on oxidizing as well as reducing agent. [T.S. Mar. 16]
Answer:

  • H2O2 has the ability to function as an oxidising agent as well as reducing agent in both acid and alkaline solutions.
  • In H2O2 oxidation state of oxygen is -1. It oxidised to O2. Here H2O2 is reductant.
  • H2O2 can be reduced to H2O (or) OH. Here H2O2 is oxidant.
  1. Oxidising action in acidic medium :
    \(2 \mathrm{Fe}_{(a q)}^{+2}+2 \mathrm{H}_{(\mathrm{aq})}^{+}+\mathrm{H}_2 \mathrm{O}_{2_{(\text {aq })}} \longrightarrow 2 \mathrm{Fe}_{(\text {aq })}^{+3}+2 \mathrm{H}_2 \mathrm{O}_{(l)}\)
  2. Reducing action in acidic medium :
    \(2 \mathrm{MnO}_4^{-}+6 \mathrm{H}^{+}+5 \mathrm{H}_2 \mathrm{O}_2 \longrightarrow 2 \mathrm{Mn}^{+2}+8 \mathrm{H}_2 \mathrm{O}+5 \mathrm{O}_2\)
  3. Oxidising action in basic medium :
    2Fe+2 + H2O2 → 2Fe+3 + 2OH
  4. Reducing action in basic medium :
    \(2 \mathrm{MnO}_4^{-}+3 \mathrm{H}_2 \mathrm{O}_2 \longrightarrow 2 \mathrm{MnO}_2+3 \mathrm{O}_2+2 \mathrm{H}_2 \mathrm{O}+2 \mathrm{OH}^{-}\)

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 8.
Complete and balance the following chemical reactions :
i) PbS(s) + H2O2
ii) \(\mathrm{MnO}_{4_{(a q)}}^{-}\) + H2O2(aq)
iii) CaO(s) + H2O(g)
(iv) Ca3N2(s) + H2O(l)
Classify the above into
a) hydrolysis
b) redox and
c) hydration reactions.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 20
iii) CaO(s) + H2O(g) → Ca(OH)2
(iv) Ca3N2(s) + H2O(l) → 3Ca(OH)2 + 2NH3
(iii) and (iv) reactions are hydrolysis reactions

Question 9.
Discuss, with relevant chemical equations, various methods of preparing hydrogen peroxide. Which of these methods is useful to prepare D2O2 ?
Answer:
Preparations of H2O2:
i) From Acidified BaO2 removing the excess of water by evaporation under reduced pressure gives H2O2.
BaO2 . 8H2O(s) + H2SO4(aq) → BaSO4(s) + H2O2(aq) + 8H2O(l)

ii) Auto oxidation method : H2O2 is prepared industrially by the auto oxidation of 2-ethyl anthraquinol.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 21
iii) Electrolysis of peroxo disulphuric acid : H2O2 is obtained by the electrolysis of 50% H2SO4 solution, peroxo disulphuric acid obtained undergo hydrolysis to form H2O2.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 22
Preparation of D2O2: D2O2 is obtained by the reaction of K2S2O8 with heavy water. This is similar to above method (iii).
K2S2O8(s) + 2D2O(l) → 2KDSO4(aq) + D2O2(l)

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 10.
In how many ways can you express the strength of H2O2 ? Calculate the strength of 15 volume solution of H2O2 in g/l. Express this strength in normality and molarity.
Answer:
Strength of H2O2 can be expressed majorly in two ways.
H2O2 strength can be expressed in terms of i) Molarity ii) Normality.
Problem :
Solution:
15 volume H2O2 solution means 1 lit, of H2O2
will give 15 lit, of O2 at STP
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 23
22.4 lit, of 02 produced from 68 gms of H2O2
15 lit, of 02 produced from x gms of H2O2
x = \(\frac{68 \times 15}{22.4}\) = 45.53 gms. of H2O2
∴ Strength of 15 volume H2O2 = 45.53 gms/lit.
= 4.5% H2O2

→ Molarity of the 15 volume H2O2 solution
= \(\frac{\mathrm{Wt}}{\mathrm{GMW} \times 1 \text { lit. }}\)
= \(\frac{45.53}{34 \times 1}\) = 1.339M.
→ Normality of the 15 volume H2O2 solution
= \(\frac{W t}{\text { G.E.W } \times 1 \text { lit. }}=\frac{45.53}{17 \times 1}\) = 2.678 N.

Solved Problems

Question 1.
Comment on the reactions of dihydro-gen with

  1. chlorine
  2. sodium and
  3. copper (II) oxide.

Solution:

  1. Hydrogen reacts with chlorine to form hydrogen chloride. An electron pair is shared between H and Cl leading to the formation of a covalent molecule.
  2. Hydrogen is reduced by sodium to form NaH. An electron is transferred from Na to H leading to the formation of an ionic compound, Na+ H .
  3. Hydrogen reduces copper(ll) oxide to copper and itself gets oxidised to H2O.

Question 2.
H2O has a higher boiling point than that of H2S. Give reasons.
Solution:
On the basis of molecular mass of H2O. Its boiling point is expected to be lower than that of H2S. However, due to higher electronegativity of O, the magnitude of hydrogen bonding in H2O will be quite appreciable. Hence, the boiling point of H2O will be higher than that of H2S.

AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds

Question 3.
How many hydrogen – bonded water molecule(s) are associated in CuSO4. 5H2O ?
Solution:
Only one water molecule, which is outside the brackets (coordination sphere), is hydrogen-bonded. The other four molecules of water are coordinated.

Question 4.
Calculate the strength of 10 volume solution of hydrogen peroxide.
Solution:
10 volume solution of H2O2 means that 1L of this H2O2 solution will give 10 L of oxygen at STP.
AP Inter 1st Year Chemistry Study Material Chapter 8 Hydrogen and its Compounds 24
On the basis of above equation 22.4 L of O2 is produced from 68 g H2O2 at STP 10 L of O2 at STP is produced from \(\frac{68 \times 10}{22.4}\) g = 30.36g
≈ 30g H2O2
Therefore, strength of H2O2 in 10 volume H2O2 solution = 30.36 g/L = 3% H2O2 solution.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 7th Lesson Chemical Equilibrium and Acids-Bases Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 7th Lesson Chemical Equilibrium and Acids-Bases

Very Short Answer Questions

Question 1.
State law of chemical equilibrium.
Answer:
The ratio of product of molar concentrations of the products to the product of molar concentrations of the reactants has a constant value. This is known as the equilibrium law (or) law of chemical equilibrium.

Question 2.
Can equilibrium be achieved between water and its vapours in an open vessel. Explain.
Answer:
Equilibrium does not acheived between water and its vapour in an open vessel.
But the equilibrium achieved between water and its vapour in a closed vessel.
H2Ol) ⇌ H2O(g)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 3.
Why the concentrations of pure liquids and pure solids are ignored from equilibrium constant expressions ?
Answer:
The concentrations of pure solids and pure liquids are ignored from equilibrium constant expres-sions because the concentrations of pure solids and pure liquids are taken as unity.

Question 4.
What is homogenous equilibrium ? Write two homogenous reactions.
Answer:
It the physical states of the participating substances are same they the equilibrium is homogeneous equilibrium
e.g.: H2(g) + I2(g) ⇌ 2HI(g))
N2(g) + 3H2(g) ⇌ 2NH3(g)

Question 5.
What is heterogeneous equilibrium? Write two heterogeneous reactions.
Answer:
If the physical states of all (or) some of the participating substances are same then the equilibrium is Heterogeneous equilibrium.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 1

Question 6.
Write reaction quotient, Q, for each of the following reactions.
a) 3O2(g) ⇌ 2O3(g)
b) 4NH3(g) + 7O2(g) ⇌ 4NO2(g) + 6H2O(g)
Answer:
a) 3O2(g) ⇌ 2O3(g)
Q = \(\frac{\left(\mathrm{O}_3\right)_{\mathrm{t}}^2}{\left(\mathrm{O}_2\right)_{\mathrm{t}}^2}\)

b) 4NH3(g) + 7O2(g) ⇌ 4NO2(g) + 6H2O(s)
Q = \(\frac{\left[\mathrm{NO}_2\right]_t^4\left[\mathrm{H}_2 \mathrm{O}\right]_t^6}{\left[\mathrm{NH}_3\right]_t^4\left[\mathrm{O}_2\right]_t^7}\)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 7.
Define equilibrium constant.
Answer:
The ratio of product of molar concentrations of products to the product of molar concentrations of reactants is called equilibrium constant (Kc)

Question 8.
The equilibrium constant expression for a gas reaction is Kc = \(\frac{\left[\mathrm{NH}_3\right]^4\left[\mathrm{O}_2\right]^5}{[\mathrm{NO}]^4\left[\mathrm{H}_2 \mathrm{O}\right]^6}\) Write the balanced chemical equation corresponding to this expression.
Answer:
Given Kc = \(\frac{\left[\mathrm{NH}_3\right]^4\left[\mathrm{O}_2\right]^5}{[\mathrm{NO}]^4\left[\mathrm{H}_2 \mathrm{O}\right]^6}\)
Balanced chemical equation is
4NO + 6H2O ⇌ 4NH3 + 5O2

Question 9.
Write the relation between Kp and Kc.
Answer:
Kp = Kc(RT)∆n
∆n = No. of gaseous products – No. of gaseous reactants
R = Universal gas constant

Question 10.
Under what conditions for a reaction Kp and Kc are numerically equal?
Answer:
If ∆n = 0 i.e. No. of gaseous products = No. of gaseous reactants
then Kp = Kc (RT)∆n
Kp = Kc(RT)0
then Kp = Kc

Question 11.
Give two chemical equilibrium reactions for which Kp = Kc
Answer:

  1. H2(g) + I2(g) ⇌ 2 HI(g)
    Here ∆n = 0
    ∴ Kp = Kc
  2. N2(g) + O2(g) ⇌ 2NO(g)
    Here ∆n = 0
    ∴ Kp = Kc

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 12.
Give two chemical equilibrium reactions for which Kp > Kc.
Answer:
1) 2NH3(g) ⇌ N2(g) + 3H2(g)
∆n = np – nR = (3 + 1) – 2 = 2
∆n = 2 (+ve)
∴ Kp > Kc

2) 2SO3(g) ⇌ 2SO2(g) + O2(g)
∆n = np – nR = (2 + 1) – 2 = 1
∆n = 1 (+ve)
∴ Kp > Kc

Question 13.
Give two chemical equilibrium reactions for which Kp < Kc
Answer:
1) N2(g) + 3H2(g) ⇌ 2NH3(g)
∆n = np – nR = 2 – (1 + 3) = -2
∆n = -2 (- ve)
∴ Kp < Kc

2) 2SO2(g) + O2(g) ⇌ 2SO3(g)
∆n = np – nR
= 2 – (1 + 2) = -1
∆n = -1 (-ve)
∴ Kp < Kc

Question 14.
Write the equations for the conversion of Kc to Kp for each of the following reactions.
a) CO(g) + H2O (g) ⇌ CO2 (g) + H2 (g)
b) C3H8(g) + 5O2(g) ⇌ 3CO2 (g) + 4H2O (g)
Answer:
a) CO(g) + H2O(g) ⇌ CO2(g) + H2(g)
Kp = \(\frac{\mathrm{P}_{\mathrm{CO}_2} \times \mathrm{P}_{\mathrm{H}_2}}{\mathrm{P}_{\mathrm{CO}} \times \mathrm{P}_{\mathrm{H}_2 \mathrm{O}}}\)
Kc = \(\frac{\left[\mathrm{CO}_2\right]\left[\mathrm{H}_2\right]}{[\mathrm{CO}]\left[\mathrm{H}_2 \mathrm{O}\right]}\)
Kc to Kp conversion

b) C3H8(g) + 5O2(g) ⇌ 3CO2 (g) + 4H2O (g)
Kp = \(\frac{\mathrm{P}_{\mathrm{CO}_2}^3 \times \mathrm{P}_{\mathrm{H}_2 \mathrm{O}^4}}{\mathrm{P}_{\mathrm{C}_3 \mathrm{H}_8} \times \mathrm{P}_{\mathrm{O}_2}^5}\)
Kc = \(\frac{\left[\mathrm{CO}_2\right]^3\left[\mathrm{H}_2 \mathrm{O}\right]^4}{\left[\mathrm{C}_3 \mathrm{H}_8\right]\left[\mathrm{O}_2\right]^5}\)
Kc to Kp conversion

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 15.
What are the factors which influence the chemical equilibrium?
Answer:
The factors influencing chemical equilibrium are

  1. Concentration of reactants and the products
  2. Temperature of reaction
  3. Pressure of reaction
  4. Inert gas addition etc.

Question 16.
What is the effect of pressure on a gaseous chemical equilibrium?
Answer:
Increase of external pressure of the reaction at equlibrium favours the reaction in the direction in which the volume (or) the No. of molecules decreases.
Decrease of external pressure of reaction at equilibrium favour the reaction in the direction in which the volume (or) no. of molecules increase.

Question 17.
What is the effect of increase in concentration of reactants of a chemical reaction at equilibrium?
Answer:
Increase of concentration of the reactants in the reaction mixture at equilibrium favours the forward reaction (Reactants → products)

Question 18.
Can catalyst disturb the state of equilibrium?
Answer:
Addition of catalyst to the reaction does not effect the equilibrium position. It only speedy up the attainment of the equilibrium.

Question 19.
On which factor, the equilibrium constant value changes?
Answer:
The numerical value of equilibrium constant depends on the standard state of products and reactants chosen.

Question 20.
The equilibrium constants of a reaction at 27° C and at 127°C are 1.6 × 10-3 and 7.6 × 10-2 respectively. Is the reaction exothermic or endothermic.
Answer:
Given equilibrium constants
At 27°C – 1.6 × 10-3
At 127°C -7.6 × 10-2
From the above values as the temperature raised euilibrium constant value increased. Here ∆H = +ve
∴ The reaction is endothermic.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 21.
What is the effect of temperature on a system at equilibrium?
Answer:

  • Increase in temperature of the reaction mixture at equilibrium favours the endothermic reaction.
  • Decrease in temperature of the reaction mixture at equilibrium favours the exothermic reaction.

Question 22.
For an exothermic reaction, what happens to the equilibrium constant if temperature is raised?
Answer:
For an exothermic reaction when the temperature is raised equilibrium constant value decreased.

Question 23.
What kind of equilibrium constant can be calculated form ∆G° value for a reaction involving only gases?
Answer:
Mathematical expression in the thermodynamic view of equilibrium is
∆G = ∆G° + RTlnQ
At equilibrium ∆G = 0 and Q = K
∴ ∆G = ∆G° + RTlnK = 0
∆G° = -RTlnK
knK = \(\frac{-\Delta G^{\circ}}{R}\)
K = e-∆G°/RT
K = Equilibrium constant using the above equation the sponteinity of reaction can be predicted.

Question 24.
What is a Bronsted base ? Give one example.
Answer:
The substance which accepts a proton from the other substance is called Bronsted base
e.g.: NH3, H2O etc.

Qeustion 25.
What is Lewis acid ? Give one example.
Answer:
A substance which can accept an electron pair to from a co-ordinate covalent bond with donor is called Lewis acid.
e.g. : H+, BF3, SnCl2 etc.

Question 26.
What is meant by ionic product of water ?
Answer:
At a given temp, the product of the concentrations of H+ and OH ions in water is called ionic product
Ionic product Kw = [H+] [OH]
At 25°C Kw = 1.008 × 10-14 mole2/lit2

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 27.
What is the value of Kw? What are its units ?
Answer:
At 25°C Ionic product of water Kw = 1.008 × 10-14 mole2/lit2
Units : mole2/lit2

Question 28.
What is the effect of temperature on ionic product of water ?
Answer:
As the temperature increases ionisation of water increases and hence Ionic product alue (Kw) also increases.

Question 29.
H2O + H2O ⇌ H2O+ + OH
The ionic product of water is 1 × 10-14 at 25°C and 3.0 × 10-14 at 40°C.
Is the above process endothermic or exothermic ?
Answer:
Given reaction
H2O + H2O ⇌ H2O+ + OH
Kwat25°C – 1 × 10-14 mole2/lit2
Kwat40°C – 3 × 10-14 mole2/lit2
The above reaction is endo thermic reaction because Kw value increases with increase of temperature.

Question 30.
All Bronsted bases are Lewis bases. Explain.
Answer:
Bronsted base means proton acceptor and lewis base means electron pair donor.
But according to two theories base provides a lone pair.
∴ All bronsted bases are lewisbases

Question 31.
All Lewis acids are not Bronsted acids. Why ?
Answer:

  • Lewis acid means electron pair acceptor and bronsted acid means proton donar.
  • According to Lewis concept many acids donot have proton.
    So all Lewis acids are not Bronsted bases.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 32.
What is degree of ionization?
Answer:

  • It is the expression used to find the extent of ionisation of electrolytes.
  • It is devoted by ‘α’.

Question 33.
What is the measure of strength of an acid and base ?
Answer:

  • Strength of an acid can be measured by the acid disociation constant (Ka)
  • Strength of a base can be measured by the base disaciating constant (kb)

Question 34.
Give two examples of salts whose aqueous solutions are basic.
Answer:
Sodium acetate (CH3COONa), Sodium carbonate (Na2CO3) salts aqueous solutions are basic in nature due to anionic hydrolysis.

Question 35.
Give two examples of salts whose aqueous solutions are acidic.
Answer:
Ammonium chloride (NH4Cl), Ammonium sulphate [(NH4)2 SO4] salts aqueous solutions are acidic in nature.

Question 36.
What equation is used for calculating the pH of an acid buffer ?
Answer:
Hendersen’s equation is used to calculate the PH of an acid buffer
PH = PKa + log \(\frac{\text { [Salt] }}{[\text { Acid] }}\)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 37.
Phosphoric acid (H3PO4) have three ionization constants Ka1, Ka2 and Ka3. Among these ionization constants which has a lower value ? Give reason for it ? Answer:
Phosphoric acid (H3PO4) has
Ka1 – 7.5 × 10-3
Ka2 – 6.2 × 10-8
Ka3 – 4.2 × 10-13
Ka3 has lower value.
Reason :

  • It is more difficult to remove a proton from the negativeion due to electro static forces.
  • It is difficult to remove a proton from \(\mathrm{HPO}_4^{-2}\) anion.

Question 38.
Ice melts slowly at high altitudes. Explain. Why ?
Answer:
Ice melts slowly at high altitudes
Reason :

  • Ice and water are equilibrium only at a particular temperature and pressure conditions.
  • At high attitude temp and pressure conditions are changed.

Short Answer Questions

Qeustion 1.
Write expression for the equilibrium constant, Kc for each of the following reactions.
(i) 2NOCl(g) ⇌ 2NO(g) + Cl2(g)
(ii) 2Cu(NO3)2(s) ⇌ 2CUO(s) + 4NO2(g) + O2(g)
(iii) CH3COOC2H5(aq) + H2O(l) ⇌ CH3COOH(aq) + C2H5OH(aq)
(iv) Fe+3(aq) + 3OH(aq) ⇌ Fe(OH)3(s)
Answer:
i) Given equation
2NOCl(g) ⇌ 2NO(g) + Cl2(g)
Equilibrium constant Kc = \(\frac{\left[\mathrm{NO}^2\left[\mathrm{Cl}_2\right]\right.}{[\mathrm{NoCl}]}\)
ii) Given equation
2Cu(NO3)2(s) ⇌ 2CUO(s) + 4NO2(g) + O2
Kc = (NO2)4 (O2)

iii) CH3COOC2H5(aq) + H2O(l) ⇌ CH3COOH(aq) + C2H5OH(aq)
Kc = \(\frac{\left[\mathrm{CH}_3 \mathrm{COOH}\right]\left[\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}\right]}{\left[\mathrm{CH}_3 \mathrm{COO} \mathrm{C}_2 \mathrm{H}_5\right]}\)

iv) Fe+3(aq) + 3OH(aq) ⇌ Fe(OH)3(s)
Kc = \(\frac{1}{\left[\mathrm{Fe}^{+3}\right]\left[\mathrm{OH}^{-}\right]^3}\)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 2.
Derive the relation between Kp and Kc for the equilibrium reaction
N2(g) + 3H2(g) ⇌ 2NH3(g) [Mar. 13]
Answer:
Given equation (Equilibrium reaction)
N2(g) + 3H2(g) ⇌ 2NH3(g)
We can make the following generalisation concerning the composition of equilibrium mixtures : If Kc > 103 products predominate over reactants, i.e., if Kc is very large, the reaction proceeds nearly to completion. Consider the following examples :
a) The reaction of H2 with O2 at 500 K has a very large equilibrium constant Kc = 2.4 × 1047
b) H2(g) + Cl2(g) ⇌ 2Hl(g) at 300 K has Kc = 4.0 × 1031
c) H2(g) + Br2(g) ⇌ 2HBr(g) at 300 K. Kc = 5.4 × 1018
If Kc < 10-3 reactants predominate over products i.e, if Kc is very small the reaction proceeds rarely.

Consider the following examples :
a) The decomposition of H2O into H2 and O2 at 500 K has a very small equilibrium constant.
Kc = 4.1 × 10-48

b) N2(g) + O2(g) ⇌ 2NO(g)
at 298 K has Kc = 4.8 × 10-31
If Kc is in the range of 10-3 to 103 appreciable concentrations of both reactants and products are present. Consider the following examples :
a) For reaction of H2 with I2 to give HI.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 2
b) Also, gas phase decomposition of N2O4 to NO2 is another reaction with a value of Kc = 4.64 × 10-3 at 25°C which is neither too small nor too large. Hence equilibrium mixtures contain appreciable concentrations of both N2O4 and NO2.
These generarlisations are illustrated.

Question 3.
State law of chemical equilibrium ? What is Kc for the following equilibrium when the equilibrium concentration of each substance is [SO2] = 0.60 M,
[O2] = 0.82 M and [SO3] = 1.90 M
2SO2(g) + O2(g) ⇌ 2SO3(g)
Answer:
The ratio of product of molar concentrations of the products to the product of molar concentrations of the reactants has a constrant value. This is known as the equilibrium law (or) law of chemical equilibrium.
Given equation is
2SO2(g) + O2(g) ⇌ 2SO3(g)
Given [SO2] = 0.60M, [O2] = 0.82M, [SO3] – 1.90 M
Kc = \(\frac{\left[\mathrm{SO}_3\right]^2}{\left[\mathrm{SO}_2\right]^2\left[\mathrm{O}_2\right]}=\frac{(1.9)^2}{(0.6)^2(0.82)}\)
= \(\frac{3.61}{0.36 \times 0.86}=\frac{3.61}{0.2952}\)
= 12.22

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 4.
Why sealed soda water bottle on opening shows the evolution of gas with effervescence ?
Answer:

  • Sealed soda bottle on opening shows evolution of gas with effervescence
  • This is due to difference in solubility of CO2 at different pressures there is equilibrium between molecules of gaseous state and molecules of dissolved in the liquid state.
    CO2(g) ⇌ O2 (Jusolutcoiny)

Question 5.
Explain the significance of
a) a very large value of K,
b) a very small value of K and
c) a value of K of about 1.0
Answer:
a) A very large value of K indicates reaction proceeds almost to complete.
b) A very small value of K indicates reaction hardly proceeds.
c) A value of K about 1.0 indicates that reactants and products are at equilibrium.

Qeustion 6.
Why is it useful to compare Q with K ? What is the situation when
(a) Q = K
(b) Q < K (c) Q > K
Answer:
Q and K are compared to predict the direction of reaction
a) Q = K indicates that the reaction mixture is already at equilibrium
b) Q < K indicates that the reaction proceeds in the direction. c) Q > K indicates that the reaction proceeds in the direction of reactants (Reverse reaction)

Qeustion 7.
For the reaction Cl2(g) + F2(g) 2Cl F (g), Kc = 19.9
What will happen in a mixture originally containing [Cl2] = 0.4 mol L; [F2] = 0.2 mol L-1 and [Cl F] = 7.3 mol L?
Answer:
Given reaction
Cl2(g) + F2(g) ⇌ 2ClF(g), Kc = 19.9
Given [Cl2] = 0.4 mole/lit, [F2] = 0.2 mole/lit
[ClF] = 7.3 moles/lit
∴ \(\frac{[\mathrm{ClF}]^2}{\left[\mathrm{Cl}_2\right]\left[\mathrm{F}_2\right]}=\frac{[7.3]^2}{0.4 \times 0.2}=\frac{53.29}{0.8}\) = 66.6125
Qc > Kc
∴ The reaction proceeds in the backward direction (Reactants side, Reverse Reaction)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 8.
Predict which of the following reaction will have appreciable concentration of reactants and products :
a) Cl2(g) 2Cl (g), Kc = 5 × 10-39
b) Cl2(g) + 2NO(g) ⇌ 2NOG (g), Kc = 3.7 × 108
c) Cl2(g) + 2NO2 (g) ⇌ 2N02a(g) Kc = 1.8
Answer:
a) Cl2(g) ⇌ 2ClF(g) Kc = 5 × 10-39
b) Cl2(g) +2NO(g) ⇌ 2NOCl(g) Kc = 3.7 × 108
c) Cl2(g) + 2 NO2(g) ⇌ 2NO2Cl(g) Kc = 1.8

  • This equation (c) have appreciable concentrations of reactants and products.
  • ‘Kc‘ value is neither too small nor too large. Hence equilibrium mixtures contain appreciable concentrations of reactants and products.

Question 9.
How to recognise the conditions under which changes in pressure would effect system in equilibrium.
Answer:
Effect of pressure charge : A pressure change obtained by changing the volume can affect the yield of products in case of a gaseous reaction where the total number of moles of gaseous reactants and total number of moles of ga seous products are different. In applying Le Chatelier’s principle to a heterogeneous equilibrium the effect of pressure changes on solids and liquids can be ignored because the volume (and concentration) of a solution/liquid is nearly independent of pressure.
Consider the reaction.
CO(g) + 3H2(g) ⇌ CH4(g) + H2O(g)
Here, 4 mol of gaseous reactants (CO + 3H2) become 2 mol of gaseous products (CH4 + H2O). Suppose equilibrium mixture (for above reaction) kept in a cylinder fitted with a piston at constant temperature is compressed to one half of its original volume. Then, total pressure will be doubled (according to pV = constant). The partial pressure and therefore, concentration of reactants and products have changed and the mixture is no longer at equilibrium. The direction in which the reaction goes to re-establish equilibrium can be predicted by applying the Le Chatelier’s principle.

Since pressure is doubled, the equilibrium now shifts in the forward direction, a direction in which the number of moles of the gas or pressure decreases (we know pressure is proportional to moles of the gas). The can also be understood by using reaction quotient, Qc. Let [CO], [H2], [CH4] and [H2O] be the molar concentrations at equilibrium for methanation reaction. When volume of the reaction mixture is halved, the partial pressure and the concentration are doubled. We obtain the reaction quotient by replacing each equilibrium concentration by double its value.
QC = \(\frac{\left[\mathrm{CH}_{4(\mathrm{~g})}\right]\left[\mathrm{H}_2 \mathrm{O}_{(\mathrm{g})}\right]}{\left[\mathrm{CO}_{(\mathrm{g})}\right]\left[\mathrm{H}_{2_{(\mathrm{g})}}\right]^3}\)
As QC < KC, the reaction proceeds in the forward direction.
In reaction C(s) + CO2(g) ⇌ 2CO(g), when pressure is increased, the reaction goes in the reverse direction because the number of moles of gas increases in the forward direction.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 10.
What property of a reaction can be used to predict the effect of a change in temperature on the magnitude of an equilibrium constant ?
Answer:

  • Change in temperature leads to the charge in the value of equilibrium constant (Kc)
  • The temperature dependence of the equilibrium constant depends on the sign of ∆H for the reaction.
  • The equilibrium constant for an exothermic reactions (∆H = -ve) decreases as the temperature increases.
  • The equilibrium constant for an endothermic reaction (∆H = +ve) increases as the temperature increases.
  • Temp changes affect the equilibrium constant and rates of reactions.

Question 11.
Does the number of moles of reaction products increase, decrease or remains same when each of the following equilibria is subjected to a decrease in pressure by increasing the volume ?
i) PCl5(g) ⇌ PCl3 (g) + Cl2 (g)
ii) CaO(s) + CO3(g) ⇌ CaCO3 (s)
Answer:
i) PCl5(g) ⇌ PCl3(g) + Cl2(g)
Decrease in pressure by increasing volume leads to the reaction goes in forward direction be cause no. of moles of gas decrease in the forward direction.
∴ No. of moles of reaction products decreases.

ii) CaO(s) + CO2(g) ⇌ CaCO3(s)
Decrease in pressure by increasing volume the reaction does not move in any direction because only one gaseous product present i.e. CO2(g). So nochange in no. of moles of reaction products.

Question 12.
Which of the following reactions will get affected by increasing the pressure ? Also mention whether change will cause the reaction to go into forward or back ward direction.
i) COCl2(g) ⇌ CO(g) + Cl2 (g)
ii) CH4(g) + 2S2(g) ⇌ CS2 (g) + 2H2S(g)
iii) CO2(g) + C(s) ⇌ 2CO(g)
iv) 4NH3(g) + 5O2(g) ⇌ 4NO(g) + 6H2O(g)
Answer:
i) COCl2(g) ⇌ CO(g) + Cl2(g) (affected by pressaure)
Increase in pressure the reaction goes in reverse direction and No. of moles of gas increase in the forward direction. .

ii) CH4(g) + 2S2(g) ⇌ CS2(g) + 2H2(s)
No. of reactants and No. of products are same, pressure has no affect.

iii) CO2(g) + C(s) ⇌ 2 CO(g) (affected by pressure)

iv) 4NH3(g) + 5O2(g) ⇌ 4 NO(g) + 6H2O(g) (affected by pressure)
Increase in pressure, the reaction goes in reverse direction and No. of moles of gas increase in the forward direction.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 13.
How will an increase in pressure affect each of the following equilibria ? An increase in temperature ?
i) 2NH3(g) ⇌ N2(g) + 3H2(g) ∆ H = 92 kJ
ii) N2(g) + O2(g) ⇌ 2NO(g) ∆ H = 181 kJ
iii) 2O3(g) ⇌ 3O2(g) ∆ H = – 285 kJ
iv) CaO(S) + CO2(g) ⇌ CaCO2(s) ∆ H = – 176 kJ
Answer:
i) 2NH3(g) ⇌ N2 + 3H2(g) ∆H = +92KJ

  • Increase in pressure favours backword reaction
  • Increase in temperatures favours to shift the equilibrium right.

ii) N2(g) + O2(s) ⇌ 2NO(s) ∆H = 181 KJ

  • Pressure has no effect. NP = NR
  • Increase in temperature favour to shift the equilibrium right

jjj) 2O3(g) 3O2(g) ⇌ ∆H = -285 KJ .

  • Increase in pressure favours backward reaction
  • Increase in temperative favours to shift the equilibrium left

iv) CaO(s) + CO2(g) ⇌ CaCO3(s) ∆H = -176 KJ

  • Pressure has no effect.
  • Increase in temperature favour to shieft the equilibrium left.

Question 14.
The dissociation of HI is independent of pressure, while the dissociation of PCl5 depends upon the pressure applied explain.
Answer:
Dissociation of HI
2HI(g) ⇌ H2(g) + I2(g)
Here np = nR
∴ Pressure has no effect on the above reaction.

Dissociation of PCl5
PCl5(g) ⇌ PCl3(g) + Cl2(g)
Here np ≠ nR
∴ This reaction has affected by pressure

Question 15.
Explain the terms :

  1. electrolyte
  2. Non-electrolyte
  3. strong and weak electrolytes
  4. ionic equilibrium

Answer:

  1. Electrolyte: The substances either in molten state (or) in solution conducts electricity and at the same time undergoes chemical decomposition, e.g.: HCl, HNO3 etc.
  2. Non-electrolytes: The substances which donot ionise (or) chemical decomposed when dis-solved in a solvent.
    e.g.: Sugar, urea etc.
  3. Strong Electrolytes: The electrolytes which readily under go chemical decomposition are called strong electrolytes.
    eg.: NaOH, HG, H2SO4 etc.,
    Weak electrolystes : The electrolytes which donot readtions undergo chemical decomposition are called weak electrolytes.
    eg. : CH3COOH, NH4OH etc.,
  4. Ionic equilibrium is a state of equilibrium set up between ionised and unionised molecule. In weak electrolytes, equilibrium is established between ions and the unionized molecules. This type of equilibrium involving ions in aq. solution is called ionic equilibrium.
    AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 3

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 16.
Explain the terms :
i) extent of ionization and on what factors it depends
ii) dissociation
iii) ionization
Answer:
Acids are generally represented as ‘HX’ and bases are represented as ‘BOH’.
Ionization of acids and bases : HX AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 4 H+ + X
BOH AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 4 B+ + OH
This process of splitting of acids and bases when dissolved in water is called ‘ionization’ or ‘dissociation1. The extent of ionization of acids and bases depends on the polarity of the molecule. For strong acids and strong bases extent of ionization is large. The extent of ionization is less for weak acids or bases.
This extent of ionization depends on the concentration of the solution of the substance. Process of ionization is an equilibrium process.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 5
Hence, the equilibrium constants are expressed as Ka = \(\frac{\left[\mathrm{H}^{+}\right]\left[\mathrm{X}^{-}\right]}{[\mathrm{HX}]}\)
Ka = acid ionization constant (or) acid dissociation constant.
Kb = \(\frac{\left[\mathrm{B}^{+}\right]\left[\mathrm{OH}^{-}\right]}{[\mathrm{BOH}]}\)
Kb = base ionization constant (or) base dissociation constant.

Question 17.
Explain the Arrhenins concept of acids and bases.
Answer:
According to Arrhenius
Acid : Acids are the substances that dissociates in water to gave H+ ions.
e.g. : HCl, H2SO4 etc..
H x(aq) → H+(aq) + x(aq)
Base : Bases are the substances that produce hydrorylions (OH) ion dissociation in water
e.g. : NaOH, KOH MOH,
MOH(aq) → M+(aq) + OH(aq)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 18.
What is a, conjugate acid – base pair ? Illustrate with examples. [A.P. Mar. 16]
Answer:
Conjugate acid – base pair:
A pair of a Bronsted acid and a base that differs by one proton (H+) is known as conjugate acid – base pair.
Consider the following reaction :
CH3COOH + H2O ⇌ H3O + CH3COO
It involves two conjugate pairs. The acid – base pairs are :
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 6

Question 19.
Acetic acid is a weak acid. List, in order of descending concentration, all of the ionic and molecular species present in 1 M aqueous solution of acetic acid.
Answer:
[H2O] > [CH3COOH] > [H3O+] [CH3COO] > [OH]

Question 20.
Show by suitable equations that each of the following species can act as a Brostead acid.
a) H3O+
b) HCl
c) NH3
d) HSO4
Answer:
a) H3O+ → H2O + H+
Proton donar Hence a Bronsted acid

b) HCl → H+ + Cl
Proton donar Hence a Bronsted acid

c) NH3 is bronsted base it’s not an acid
(Sometimes NH3 → NH2 + H+ as acid]

d) HSO4 → H+ + SO4-2
proton donar Hence Bronsted acid.

Question 21.
Show by suitable equations that each of the following spices can act as a Bronsted base.
a) H3O
b) OH
c) C2H5OH
d) HPO4-2
Answer:
a) H2O + H+ → H3O+
Proton acceptor Hence a Bronsted base
b) OH + H+ → H2O
Proton acceptor Hence a Bronsted base
c) C2H5OH is a proton donar
So it is not a bronsted base it is acid
d) HPO4-2 + H+ → H2PO4
proton acceptor Hence it is Bronsted base.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 22.
The species H2O, HCO4, HSO4 and NH3 can act both as Bronsted acids and bases. Give the corresponding conjugate acid and base for each of them.
Answer:
The answer is given in the following Table :
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 7

Question 23.
Write equation that shows H2PO4 acting both as an acid and as a base.
Answer:
As an acid :
H2Po4 → H+ + HP2PO4-2
Proton donar
As a base:
H2Po4 + H+ → H3PO4
Proton acceptor

Question 24.
Write the conjugate acid and conjugate base of each of the following :
a) OH
b) H2O
c) HCO3
d) H2O2
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 8

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 25.
Identity and label the Bronstead acid and its conjugate base, the Bronsted base and its conjugate acid in each of the following equations.
a) H2SO4 + Cl → HCl + HSO4
b) H2S + NH2 → HS + NH3
c) CN + H2O → HCN + OH
d) O-2 + H2O → 2OH
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 9

Question 26.
Classify the species AlCl3, NH3, Mg+2 and H2O into Lewis acids and Lewis bases and justify your answer ?
Answer:

  • AlCl3, Mg+2 are lewis acids because These are electron pair acceptory
  • NH3, H2O are lewis bases becuse. These are electron pair donors.

Question 27.
What are the strengths of conjugate bases of a strong acid and a weak acid ?
Answer:
A strong acid has a weak conjugate base
Eg : HCl, Cl
A weak acid has a strong conjugate base
Eg : CH3COOH, CH3COO

Question 28.
What are the strength of conjugates acids of a strong base and weak base ?
Answer:
Strong base has a weak conjugate acid
Eg : HS, H2S
A weak base has a stong conjugatge acid
Eg : ClO4, HClO4

Question 29.
Define ionic product of water. What is its value at room temperature ?
Answer:
At a given temp, the product of the concentrations of H+ and OH ions in water is called ionic product
Ionic product Kw = [H] [OH]
At 25°C Kw = 1.008 × 10-14 mole2/lit2
At 25°C Ionic product of water Kw = 1.008 × 10-14 mole2/lit2
Units: mole2/lit2

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 30.
Define pH. pH cannot be calculated directly from the molar concentration of a weak acid or weak base. Why ? Derive an equation for the pH of a weak acid.
Answer:
The negative logarithm on value to the 10 of the hydrogen ion concentration expressed in moles/lit, in a solution is know as pH. of the solution.
pH : – log (H+) = – log10 \(\frac{1}{\left(\mathrm{H}^{+}\right)}\)
In case of a weak acid (or) weak base extent of ionisation is low so pH cannot be calculated directly from their molar concentrations.

Derivation of pH of a weak acid :
A general step wise approch can be adopted to evaluate the pH of the weak acid as follows.

Step 1. The species present before dissociation are identified as Bronsted – Lowry acids/ bases.
Step 2. Balanced equations for all possibel reactions i.e., with a species acting both as acid as well as base are written.
Step 3. The reaction with the higher Ka is identified as the primary reaction whilst the other is a subsidiary reaction.
Step 4. Enlist in a tabular form the following values for each of the species in the primary reaction.
a) Initial concentration. C.
b) Change in concentration on proceeding to equilibrium in terms of a, degree of ionization.
Step 5. Substitute equilibrium concentrations into equilibrium constrant equation for principal reaction and solve for α.
Step 6. Calculate the concentration of species in principal raction.
Step 7. Calculate pH = – log [H3O+]
The above mentioned methodology has been elucidated in the following examples.

Question 31.
Write equations to show the step wise ionization of the polyprotic acids H2SO4 and H2PO4.
Answer:
Step wise Ionisation H2SO4
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 10

Question 32.
Explain how acid strength changes among

  1. the hydrides of the group elements and
  2. the hydrides in the same row of the periodic table.

Answer:

  1. The hydrides of the group elements acid strength decreases from top to bottom.
  2. The hydrides in the same row of Periodic table i.e., in a period the acid strength increases from left to right.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 33.
Justify the statement that water behaves like an acid and also like base on the basis of protonic concept.
Answer:

  • Water has the ability to acts as an acid and as well as a base i.e., it behaves as an amphoteric substance.
  • The following are the supporting reactions for the fact that water behaves as an amphoteric substance.
  • As an acid :
    H2O(l) + NH3(aq) ⇌ OH(aq) + NH4+(aq)
    H2O is proton do nor i.e., an acid according to Bronsted sense
  • As a base:
    H2O(l) + H2S(aq) ⇌ H3O+(aq) + HS(aq)
    H2O is proton acceptor i.e., a base according to Bronsted Sense

Question 34.
What is common ion effect ? Illustrate.
Answer:
Common ion effect : The decrease in the ionisation (dissociation) of a weak electrolyte, by the addition of a strong electrolyte having an ion common with the weak electrolyte, is known as common ion effect.
Example : The dissociation of NH4OH is diminished by the addition of NH4Cl due to the common ion, NH4+ ion
NH4OH ⇌ NH4 + OH
NH4OH AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 11 NH4+ + OH (addition of NH4Cl)
Importance of this effect In qualitative analysis :

  1. This principle is used in the systematic qualitative analysis of cations.
  2. The concentration of S2- in II group or OH ion in III group of chemical analysis is controlled by HCl and NH4OH on the basis of common ion effect.
    H+ ion is common to H2S (II group)
    NH4+ ion is common to NH4OH (IV group) .
  3. The common ion effect principle is also used in controlling the H+ ion concentration in buffer solutions.
  4. It is also used in the purification of common salts by passing dry HCl gas into impure salt solution.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 35.
Define solubility product ? Write solubility product expressions for the following :
(i) Ag2Cr2O7
ii) Zr3(PO4)4
Answer:
Solubility product (KSP) : The product of the concentrations of the cation and the anion in a saturated solution of a salt at room temperature is called solubility product (Ksp).
Ksp = [Mn+][An-]
Significance of solubility product in chemical analysis : In any solution of a salt, if the product of [Mn+] and [An-] is greater than the solubility product (KSP) of the salt, then only the salt gets precipitated. For example,
i) If the product of [Cu 2+] & [S-2] in the II group (in presence of acid) of chemical analysis exceeds the value of KSP of CuS, then only CuS will be precipitated in the group. Similar argument applies to other metal ions in the group namely (Cd2+, Bi3+, Hg2+, Sb2+, etc).

ii) If the product of [Zn2+] and [S2-] in ammonical medium in IV group of chemical analysis exceeds the value of KSP of ZnS, it will be precipitated. Similar arguments apply to Mn2+, Ni2+ etc.
a) Solubility product expression for Ag2Cr2O7
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 12

Question 36.
Give the classification of salts. What type of salts undergo hydrolysis ?
Answer:
The following are the types of salts : –

  1. Salts of a strong acid and a strong base. Ex : NaCl
  2. Salts of a strong acid and a weak base. Ex : NH4Cl
  3. Salts of a weak acid and a strong base. Ex : CH3COONa
  4. Salts of a weak acid and a weak base. Ex : CH3COONH4
    Types 2, 3, 4 under go hydrolysis reactions.

Question 37.
What must be true of the value of ∆G° for a reaction if
a) K > 1
b) K = 1
c) K < 1
Answer:
a) If K > 1 then ∆ G° < 0
b) If K = 1 then ∆ G° = 0
c) If K < 1 then ∆ G° > 0

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 38.
Aqueous solution of NH4Cl is acidic. Explain.
Answer:
Given salt NH4Cl is obtained by the reaction of strong acid (HCl) and weak base (NH4OH).
The ionisation of NH4Cl as follows
\(\mathrm{NH}_4^{+}\) + Cl ⇌ NH4Cl
The above salt under goes cationic hydrolysis
\(\mathrm{NH}_4^{+}\) + H2O ⇌ NH4OH + H+
∴ The equation solution of salt is acidic due to greater H+ ion concentration than OH ion concentration.
∴ PH < 7

Question 39.
Aqueous solution of CH3COONa is basic explain.
Answer:
Given salt CH3COONa is obtained by the reaction of weak acid (CH3COOH) and strong base (NaOH).
The ionisation CH3COONa as follows
CH3COONa ⇌ CH3COO + Na+
The above salt under go anionic hydrolysis
CH3COO + H2O ⇌ CH3COOH + OH
∴ The equation solution of salt is basic due to greater OH ion concentration than H+ ion concentration.
∴ PH > 7

Question 40.
Give reason that acetic acid is less acidic in sodium acetate solution than in sodium chloride solution.
Answer:
Acetic acid in sodium acetate solution is less acidic.
Reasons:

  • Because of common ion effect ionisation process is decreased.
  • Sodium acetate is obtained by the reaction of weak acid and strong base:
    Acetic acid in NaG solution is more acidic.
    Here no common ion effect observed.
    NaCl is the salt obtained by strong acid and strong base.

Question 41.
AgCl is less soluble in AgNO3 solution than in pure water explain.
Answer:

  • AgCl is less soluble in AgNO3 because of common ion effect solubility is decreased.
  • AgCl is more soluble in pure water because common ion effect not observed here.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 42.
Predict whether the following reaction will proceed from left to right to any measurable extent:
CH3COOH (aq) + Cl(aq) →
Answer:
Given CH3COOH(aq) + \(\mathrm{Cl}_{(\mathrm{aq})}^{-}\) →
The reaction does not proceed from left to right because Cl ion is obtained from strong acid do not under go hydrolysis and CH3COOH has low extent of ionisation.

Question 43.
Aqueous solution of H2S contains H2S, HS, S-2, H3O+, OH and H2O in varying concentrations. Which of these species can act only as a base ? Which can act only as an acid ? Which can act both an acid and as a base ?
Answer:

  • H23S, H3O+ acts as only acids
  • HS, OH, H2O acts as acids as well as bases
  • S-2 acts as only base

Long Answer Questions

Question 1.
What are equilibrium processes ? Explain equilibrium in Physical and Chemical pro-cesses with examples.
Answer:
Equilibrium State (or) Equilibrium Process : The state at which the velocity of forward reaction becomes equal to the velocity of backward reaction or reverse reaction is called ‘equilibrium state’. Consider a reversible reaction.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 13
A + B ⇌ C + D taking place in a closed vessel. At the beginning we have only the reactants A and B. Their concentrations are maximum. As the reaction proceeds the reactants A and B change into the products C and D. The concentrations of the products increase gradually.
The rate of forward reaction diminishes while the reverse reaction sets in and proceeds with increasing speed. A state is soon reached where the speeds of forward and backward reactions become equal. If the rate of forward reaction Vf = The rate of reverse reaction (Vb).

The system is said to have attained a state of equilibrium. Once equilibrium is reached there is no further change in the composition of the system. The system appears to be stand still although it is dynamic. The products are formed by forward reaction just as fast as they change back into reactants by the reverse reaction.

The state at which the rate of forward reaction is equal to the rate of the reverse reaction in a reversible reaction is known as the equilibrium state or chemical equilibrium.

Examples :
i) Equilibrium physical processes :
a) Equilibrium between two phases (i.e.,) physical transformation processes.
Solid ⇌ Liquid (melting or fusion)
Solid ⇌ Vapour (sublimation)
b) Equilibrium between two different allotropic forms of same substance
α – Sulphur ⇌ β – Sulphur

ii) Equilibrium chemical processes :
a) N2 (g) + 3H2 (g) ⇌ 2NH3 (g)
b) 2SO2 (g) + O2 (g) ⇌ 2SO3 (g)
c) H2(g) + I2(g) ⇌ 2HI(g)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 2.
What is meant by dynamic equilibrium ? Explain with suitable examples.
Answer:
Dynamic equilibrium : The forward and reverse reactions of a reversible reaction continue to take place with equal rates simultaneously at the equilibrium stage also. Hence the equilibrium is called Dynamic equilibrium.

Explanation : In order to understand the dynamic nature of the reaction, synthesis of ammonia is carried with exactly the same starting conditions but using D2 (deuterium) in place of H2. The reaction mixtures starting either with H2 or D2 reach equilibrium with the same composition, except that D2 and ND3 are present instead of H2 and NH3. After equilibrium is attained, these two mixtures (H2, N2, NH3 and D2, N2, ND3) are mixed together and left for a while. Later when this mixture analysed, it is found that the concentration of ammonia is just the same as before.

However, when this mixture is analysed by a moss spectrometer, it is found that ammonia and all deuterium containing forms of ammonia (NH3, NH2D, NHD2 and ND3) and dihydrogen and its deutrated forms (H2, HD and D2) are present. Thus one can conclude that scrambling of H and D atoms in the molecules must result from a continuation of the forward and reverse reactions in the mixture. If the reaction had simply stopped when they reached equilibrium, then there would have been no mixing of isotopes in this way.

Use of isotope (deuterium) in the formation of ammonia clearly indicates that chemical reaction react a state of dynamic equilibrium in which the rates of forward and reverse reactions are equal and there is no net change in composition.

Question 3.
Give the General characteristics of equilibria involving physical processes ?
Answer:
Characteristics of general equilibria :

  1. The rate of the forward reaction is equal to the rate of the reverse reaction (uf = ub).
  2. The concentrations of the reactants and the products remain unchanged with time.
  3. The observable properties such as pressure, concentration, density, colour also remain unchanged with time.
  4. The equilibrium is dynamic in nature. Both the forward reaction and the reverse reaction continue to take place simultaneously with equal rates.
  5. A catalyst does not alter the state of equilibrium or the composition of the chemical substances of the reaction at the equilibrium. It only speeds up the attainment of the equilibrium.
  6. Chemical equilibrium can be established from either side of the reversible reaction.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 4.
What are the important features of equilibrium constant ? Discuss any two applications of equilibrium constant.
Answer:
The ratio of product of molar concentrations of products to the product of molar concentrations of reactants is called equilibrium constant (Kc)
Ex : aA + bB ⇌ cC + dD
KC = \(\frac{[C]^c[D]^d}{[A]^a[B]^b}\)
KC for reverse reaction is the inverse of the KC for the reaction in the forward direction.
Concentration equilibrium constant (KC) and pressure equilibrium constant (Kp) are related as follows
Kp = KC(RT)∆n
∆n = np – nR
While writing KC expression pure liquids, pure solids concentration are ignored Applications :

a) In predicting the extent of reaction :
The numerical value of the equilibrium constant for a reaction indicates the extent of the reac-tion. But it is important to note that an equilibrium constant does not give any information about the rate at which the equilibrium is reached the Magnitude of ke or Kp is directly proportional to the concentrations of products (as these appear in the numerator of equilibrium constant expression) and inversely proportional to the concentrations of the reactants (these appear in the denominator). This implies that a high value of K is suggestive of a high concentration of products and vice- versa.

We can make the following generalisation concerning the composition of equilibrium mixtures : If Kc > 103 products predominate over reactants, i.e., if Kc is very large, the reaction proceeds nearly to completion. Consider the following examples :

a) The reaction of H2 with O2 at 500 K has a very large equilibrium constant Kc = 2.4 × 1047
b) H2(g) + Cl2(g) ⇌ 2HCl(g) at 300 K has Kc = 4.0 × 1031
c) H2(g) + Br2(g) ⇌ 2HBr(g) at 300 K. Kc = 5.4 × 1018
If Kc = < 10-3 reactants predominate over products i.e, if Kc is very small the reaction proceeds rarely. Consider the following examples : –
a) The decomposition of H2O into H2 and O2 at 500 K has a very small equilibrium constant.
Kc = 4.1 × 10-48
b) N2(g) + O2(g) ⇌ 2NO(g)
at 298 K has Kc = 4.8 × 10-31
If Kc is in the range of 10-3 to 103 appreciable concentrations of both reactants and products are present. Consider the following examples :
a) For reaction of H2 with I2 to give HI.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 14
b) Also, gas phase decomposition of N2O4 to NO2 is another reaction with a value of Kc = 4.64 × 10-3 at 25°C which is neither too small nor too large. Hence equilibrium mixtures contain appreciable concentrations of both N2O4 and NO2.
These generarlisations are illustrated.
b) In predicting the direction of reaction : A and K are compared to predict the direction of reaction
a) Q = K indicates that the reaction mixture is already at equilibrium
b) Q < K indicates that the reaction proceeds in the direction. c) Q > K indicates that the reaction proceeds in the direction of reactants (Reverse reaction)

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 5.
What is Lechatlier’s principle ? Discuss briefly the factors which can influence the equilibrium.
Answer:
Le Chatelier’s Principle – Statement: “If a system at equilibrium is subjected to the change of pressure, temperature (or) concentration, the system is shifted in such a way as to nullify the effect of change”.
Explanation:
1) Concentration: Increase of reactant concentrations pushes the equilibrium state to the products side and increase of the reactions concentrations pushes to the equilibrium to the reactants side. For example in the chemical equilibrium
H2(g) + I2(g) ⇌ 2HI(g)
Increase of H2 or I2 concentrations pushes the equilibrium in favours of HI and similarly the increase of HI concentrations pushes the equilibrium in favour of H2 and I2.

2) Pressure : Pressure will have no effect on the equilibrium reactions in which there is no change in the number of moles of the reactants and the products.
For example pressure will have no effect on
H2(g) + I2(g) ⇌ 2HI(g) equilibrium
(or) N2 (g) + O2 (g) ⇌ 2NO (g) equilibrium
But in the case of reactions in which there is a change in the number of moles of the reactants and the products increase of pressure pushes the reaction equilibrium in the direction in which there is a decrease in the number of moles.
For example in the reaction PCl5 (g) ⇌ PCl3 (g) + Cl2 (g)
Increase of pressure favours the backward reaction PCl3 (g) + Cl2(g) → PCl5 (g) and the decrease of pressure favour the forward reaction PCl5 (g) → PCl3 (g) + Cl2 (g)

3) Temperature : Increase of temperature favour the endothermic reaction and decrease of temperature favours exothermic reactions.
For example .
N2 (g) + O2 (g) ⇌ 2N0(g) – 180.8 kJ
Increase of temperature favours The forward reaction
N2 (g) + O2 (g) → 2NO (g) (since endothermic)
decrease of temperature favour the dissociation of NO into N2 and O2 since it is exothermic.
The backward reaction
2NO (g) → N2 (g) + O2 (g) (since exothermic)

Question 6.
Discuss the application of Lechaterlier’s principle for the industrial synthesis of Ammonia and sulphur trioxide.
Answer:
Applications of Le Chatelier’s principle to synthesis of Ammonia by Haber’s process :
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 15
Nitrogen and Hydrogen combine to form ammonia. The formation of ammonia is reversible and exothermic reaction. It is accompanied by decrease in volume.

Effect of Pressure: 1 volume of N2 combines with 3 volumes of H2 to form 2 volumes of NH3. There is decrease in volume in the forward reaction (4 volumes to 2 volumes). According to Le Chatelier’s principle increase of pressure favours the reaction where there is decrease in volume. So higher the pressure, greater the yield of ammonia. In practice 200 atmospheres are used in the manufacture of ammonia by Haber’s process.

Low pressures favour the reverse reaction i.e., decomposition of NH3 already formed.

Effect of Temperature : The formation of ammonia (forward reaction) is exothermic reaction
N2 + 3H2 → 2 NH3; ∆H = – 92 kJ.
Low temperatures favour the forward reaction. But at low temperatures the reaction is too slow. Therefore an optimum temperature (725 K- 775 K) is chosen in Haber’s process. To speed up the reaction, a catalyst, finely divided iron is used. To increase the activity of the catalyst molybdenum or a mixture of oxides of K after Al is used as promoter.

The reverse reaction (i.e.,) decomposition of NH3 is an endothermic reaction. High temperatures favour the decomposition of NH3. Therefore high temperatures are avoided in Haber’s process. Thus the optimum conditions are
Pressure : 200 atm
Temperature : 725-775 K
Catalyst : Fe (Powered)
Promoter : Mo (or) (K2O + Al2O3)
Application of Le Chatelier’s principle to the synthesis of SO3 :
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 16
The formation of SO3 is reversible and exothermic reaction. It is accompanied by decrease in volume.
1. Effect of Pressure : 2 volumes of SO2 and one volume of O2 combine to give 2 volumes of SO3. According to Le Chatelier’s Principle increase of pressure favours the reaction where there is decrease in volume. The formation of SO3 is accompanied by decrease in volume (3 volumes to 2 volumes). Higher the pressure greater is the yield of S03. But in contact process high pressures are not used because towers used in the manufacture are corroded by the acid at these high pressures.

Low pressures favour the decomposition of SO3 as there is increase in the volume of (2 volumes to 3 volumes). Therefore optimum pressures are used (1.5 to 1.7 atmosphere).

2. Effect of Temperature : The formation of SO3 is exothermic. 189 Id of heat is evolved. High temperatures favour the reverse reaction which is endothermic and do not favour the forward reaction which is exothermic. Low temperatures are favourable for the formation of SO3. At low temperature the reaction is too slow. Therefore an optimum temperature 673 K is used. To speed up the reaction V205 is used as catalyst.
Thus the optimum conditions are
Pressure : 1.5 to 1.7 atm
Temperature : 673 K
Catalyst : V2O5 (or) Platinised asbestos

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 7.
Dihydrogen gas is obtained from natural gas by partial oxidation with steam as per the following endothermic reaction. .
CH4(g) + H2O(g) ⇌ CO(g) + 3H2 (g)
a) Write an expression for Kp for the above reaction.
b) How will the values of Kp and composition of equilibrium mixture be affected by

  1. increasing the pressure
  2. increasing the temperature
  3. using a catalyst ?

Solution:
a) Given equation
CH4(g) + H2O(g) ⇌ CO(g) + 3H2(g)
Kp = \(\frac{\mathrm{P}_{\mathrm{CO}} \times \mathrm{P}_{\mathrm{H}_2}^3}{\mathrm{P}_{\mathrm{CH}_4} \times \mathrm{P}_{\mathrm{H}_2 \mathrm{O}}}\)

b)

  1. Increase of pressure the reaction proceeds in reverse direction because the no. of moles of gas increases in the forward direction.
    Increase pressure Kp value increases.
  2. Increase of temperature of the reaction mixture at equilibrium favours the reaction in the direction in which heat is absorbed.
    Increase of temperature Kp value increases.
  3. A catalyst does not disturbs (or) change the chemical reaction it just speed up the attaining of equilibrium.

Question 8.
Describe the effect of :
a) addition of H2
b) addition of CH3OH
c) removal of CO
d) removal of CH3OH on the equilibrium of the reaction
2H2(g) + CO(g) ⇌ CH3OH(g)
Solution:
a) Addition of H2 (Reactant):
Increasing the concentration of reactants in the reaction mixture at equilibrium favours the forward reaction.

b) Addition of CH3OH (Product):
Increasing the concentration of products in the reaction mixture at equilibrium favours the reverse reaction.

c) Removal of CO (Reactant):
Decreasing the concentration of reactants in the reaction mixture at equilibrium favours the reverse reaction.

d) Removal of CH3OH (Product):
Decreasing the concentration of products in the reaction mixture at equilibrium favours the forward reaction.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 9.
At 473K, equilibrium constant Kc for the decomposition of phosphorous pentachloride, PCl5, is 8.3 × 10-3. If the decomposition is depicted as :
pCl5 (g) pCl3 (g) + Cl2 (g) ∆H = 124.0 kJ mol-1.
a) Write an expression of Kc for the reaction
b) What is the value of Kc for the reverse reaction at the same temperature ?
c) What would be effect on Kc if
(i) more PCl5 is added
(ii) pressure is increased
(iii) the temperature is increased.
Solution:
Given
PCl5(g) ⇌ PCl3(g) + Cl2(g) ∆H = 124.0 kJ/mole
KC = 8.3 × 10-3
a) KC = \(\frac{\left[\mathrm{PCl}_3\right]\left[\mathrm{Cl}_2\right]}{\left[\mathrm{PCl}_5\right]}\)

b) Given KC = 8.3 × 10-3
We have to calculate KC for reverse reaction
i.e., PCl3(g) + Cl2(g) ⇌ PCl5(g)
∴ Kc for the reverse reaction = \(\frac{1}{8.3 \times 10^{-3}}\)
= 0.12048 × 103
= 120.48

c) i) More PCl5 is added KC value is decreased.
ii) By the increase of pressure KC value is increased.
iii) Given reaction is Endothermic so increase of temperature increases KC value.

Question 10.
Explain the concept of Bronsted acids and Bronsted bases. Illustrate the answer with suitable examples.
Answer:
According to Bronsted theory o substance which can donate a proton to the other substance is known as acid. A substance which accept a proton from other substance is a base.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 17
Here HCl donates a proton to water and behaves as Bronsted Lowry acid. Similarly NH3 accepts a proton from H2O and acts as Bronsted Lowry base.

Above reaction is a reversible reaction so that H3O+ can donate proton to act as acid. Cl can accept a proton to act as base. Thus each acid base reaction equilibrium involves two acids and two bases. Each pair differs by a proton, such acid base pair is called Conjugate acid base pain.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 18
According to this theory strengths of acids and bases can be explained.

An acid which show great tendency to donate protons is a strong acid and an acid which shows less tendency to donate proton is a weak acid.

A base which shows great tendency to accept a proton is a strong base and a base which shows less tendency to accept a proton is a weak base.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 11.
Explain Lewis acid-base theory with suitable example. Classify the following species into Lewis acids and Lewis bases and show these act as Lewis acid / base.
a) OH
b) F
c) H+
d) BCl3
Answer:
Lewis theory of acids and bases : G.N. Lewis proposed a more generalised theory of acids and bases. According to this theory.
Acid : A substance that can accept an electron pair to form a co-ordinate covalent bond is called an acid.
Types of Lewis acids :
Lewis acids are of 5 types.
1) All Cations : Simple cations Ag, CO+3, Cu+2, Fe+3, Al+3 can act as Lewis acids.

2) Compounds in which the central atom has an incomplete octet and possessing an empty orbital can act as Lewis acids.
Ex : BF3, BCl3, AlCl3, FeCl3.

3) Compounds in which the central atom has vacant d-orbitals and may expand its octet can act as lewis acids.
Ex : SiF4, SF4, TeF4, SnCl4, FeCl3.

4) Molecules having multiple bonds between atoms of dissimilar electronegativities can behave like Lewis acids.
Ex : CO2, SO2, SO3, NO2, Cl2O7, P4O10

5) Elements with six electrons in the valence shell or electron sextet can act as Lewis acids.
Ex : O, S
Base : According to Lewis theory a base is a substance which can donate an electron pair to form a co-ordinate covalent bond.

Types of Lewis bases : Lewis bases are divided into three types.
1) All anions
Ex: Cl, OH, CN, \(\mathrm{NH}_2^{\ominus}\), F, SCN All simple anions can act as Lewis bases.
2) Molecules with one or two lone pairs on the central atom can act as Lewis bases.
Ex : AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 19
a) Hydrenyl ion is a lewis base as it can donate an electron lone pair (:OH).
b) Flouride ion acts as a Lewis base as it can donate any one of its four electron lone pairs.
c) A Proton is a lewis acid as it can accept alone pair of electrons from bases like hydrenyl ion and flowride ion.
d) BCl3 acts as a lewis acid as it can accept a lane pair electrons from species like ammenia or amine molecules.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 12.
What is degree of ionization in respect of weak acids and weak bases ? Derive the relationship between degree of ionization (α) and ionization constant (Ka) for the weak acid HX.
Answer:
Degree of ionization (α):
The extent of ionization (or) dissociation of a weak acid or weak base is termed as its Degree of ionization (α). Let the concentration of weak acid (HX) be ‘C moles/lit and the degree of ionization be ‘α’. Hence at equilibrium,
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 20
If ‘α’ is neglected compared to ‘one’ in the denominator.
We have Ka = Cα2 ⇒ α2 = \(\frac{K_a}{C} \Rightarrow \alpha=\sqrt{\frac{K_a}{C}}\)
Similar equation can be written for the ionization of weak base (BOH) in aq. solution.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 21
Therefore strengths of two acids or two bases are compared generally by their Ka or Kb values. Higher Ka or Kb value, stronger is the acid or base.

Question 13.
Define pH. What is buffer solution ? Derive Henderson – Hasselbalch equation for calculating the pH of an acid buffer solution.
Answer:
pH : “The negative value of the logarithm to the base 10, of the hydrogen ion concentration, expressed in moles / lit, in a solution is known as the pH of the solution”.
Mathematically, pH = – log10 [H+]
Buffer Solution:
“A buffer solution is that solution which resists any change in its pH value on dilution (or) on addition of a small amount of a strong acid or a strong base
Ex : Acidic buffer: (CH3COOH + CH3COONa)
Basic buffer: (NH4OH + NH4Cl)

Preparation of buffer solutions :
1) Acid buffer solutions : An acid buffer consists of weak acid and its salt with strong base.
Ex : (CH3COOH + CH3COONa)
Acid buffer solutions are normally prepared by mixing either equal or different volumes of equimolar solutions of a weak acid and its salt.

2) Base buffer solutions : A basic buffer solution consists of a mixture of a weak base and its salt with a strong acid.
Ex : (NH4OH + NH4Cl)
Base buffer solutions are prepared generally, by mixing either equal or different volumes of equimolar solutions of a weak base and its salt.

Derivation of Hendersen’s equation for an acid buffer :
i) Consider the acid buffer HA + NaA
HA ⇌ H+ + A-
NaA ⇌ Na+ + A
Acid dissociation constant Ka = \(\frac{\left[\mathrm{A}^{+}\right]\left[\mathrm{A}^{-}\right]}{[\mathrm{HA}]}\)
Here due to common ion effect
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 22

Question 14.
Explain the term “Hydrolysis of salts” with examples. Discuss the pH of the following types of salt solutions.
(i) Salts of weak acid and strong base.
(ii) Salts of strong acid and weak base. [T.S. Mar. 16]
Solution:
It may be defined as a phenomenon in which the anion or cation or both of a salt react with water producing excess of OH ions or H ions or both in aq. solution”.
i) -4 Given salt CH3COONa is obtained by the reaction of weak acid (CH3COOH) and strong base (NaOH).
-4 The ionisation CH3COONa as follows
CH3COONa ⇌ CH3COO + Na+
The above salt undergo anionic hydrolysis
CH3COO + H2O ⇌ CH3COOH + OH
The aq solution of salt is basic due to greater OH ion concentration than H+ ion concentration.
∴ PH > 7

ii) -4 Given salt NH4;C3 is obtained by the reaction of strong acid (HCl) and weak base (NH4OH).
-4 The ionisation of NH4Cl as follows
\(\mathrm{NH}_4^{+}\) + Cl ⇌ NH4Cl
-4 The above salt under goes catioric hydrolysis
\(\mathrm{NH}_4^{+}\) + H2O ⇌ NH4OH + H+
∴ The equation solution of salt is acidic due to greater H+ ion concentration than OH ion concentration.
∴ PH < 7

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 15.
What is solubility product ? Explain the common ion effect on solubility of ionic salts.
Solution:
Solubility product (KSP) : The product of the concentrations of the cation and the anion in a saturated solution of a salt at room temperature is called solubility product (KSP).
KSP = [Mn+][An-]
Significance of solubility product in chemical analysis :
In any solution of a salt, if the product of [Mn+] and [An-] is greater than the solubility product (KSP) of the salt, then only the salt gets precipitated. For example,

i) If the product of [Cu2+] & [S-2] in the II group (in presence of acid) of chemical analysis exceeds the value of KSP of CuS, then only CuS will be precipitated in the group. Similar argument applies to other metal ions in the group namely (Cd2+, Bi3+, Hg2+, Sb2+, etc).

ii) If the product of [Zn2+] and [S2-] in ammonical medium in IV group of chemical analysis exceeds the value of Ksp of ZnS, it will be precipitated. Similar arguments apply to Mn2+, Ni2+ etc.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 23

 

  • Given salt CH3COONa is obtained by the reaction of weak acid (CH3COOH) and strong base (NaOH).
  • The ionisation CH3COONa as follows
    CH3COONa ⇌ CH3COO + Na+
  • The above salt undergo anionic hydrolysis
    CH3COO + H2O ⇌ CH3COOH + OH

∴ The aq solution of salt is basic due to greater OH ion concentration than H+ ion concentration.
∴ PH > 7

Given salt NH4Cl is obtained by the reaction of strong acid (HCl) and weak base (NH4OH).
The ionisation of NH4Cl as follows
\(\mathrm{NH}_4^{+}\) + Cl ⇌ NH4Cl
The above salt under goes catioric hydrolysis
\(\mathrm{NH}_4^{+}\) + H2O ⇌ NH4OH + H+
∴ The equation solution of salt is acidic due to greater H+ ion concentration than OH ion concentration.
∴ PH < 7

Common ion effect on solubility of ionic salts
The common ion effect is used for almost complete precipitation of a particular ion as its sparingly soluble salt, with every low value of solubility product for gravimetric estimation. Thus we can precipitate silver ion as silver chloride, ferric ion as its hydroxide (or hydrated ferric oxide) and barium ion as its sulphate for quantitative estimations.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 16.
Write notes on
(i) Common ion effect.
(ii) The relation between Ksp and solubility (S) of a spaningly soluble salt BaSO4.
Solution:
i) Common ion effect : The decrease in the ionisation (dissociation) of a weak electrolyte, by the addition of a strong electrolyte having an ion common with the weak electrolyte, is known as common ion effect.
Example : The dissociation of NH4OH is diminished by the addition of NH4Cl due to the common ion, NH4+ ion
NH4OH ⇌ NH4 + OH
NH4OH AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 11 NH4+ + OH (addition of NH4Cl)
Importance of this effect In qualitative analysis :

  1. This principle is used in the systematic qualitative analysis of cations.
  2. The concentration of S2- in II group or OH ion in III group of chemical analysis is controlled by HCl and NH4OH on the basis of common ion effect.
    H+ ion is common to H2S (II group)
    NH4+ ion is common to NH4OH (IV group) .
  3. The common ion effect principle is also used in controlling the H+ ion concentration in buffer solutions.
  4. It is also used in the purification of common salts by passing dry HCl gas into impure salt solution.

ii) Relation between KSP and ‘S’ of salt at BaSO4
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 24

Problems

Question 1.
1 Mole of PCl5 is heated in a closed vessel of 1 litre capacity. At equilibrium 0.4 moles of chlorine is found. Calculate the equilibrium Constant.
Solutioni:
PCl5(g) ⇌ PCl3(g) + Cl2(g)
Initial [PCl5] = 1 mole/lit
At equilibrium [Cl2] = 0.4 moles/lit
[PCl3] at equilibrium = 0.4 moles/lit
[PCl5] at equilibrium = 0.6 moles/lit
KC = \(\frac{\left[\mathrm{PCl}_3\right]\left[\mathrm{Cl}_2\right]}{\left[\mathrm{PCl}_5\right]}\)
= \(\frac{0.4 \times 0.4}{0.6}=\frac{0.16}{0.6}\)
= 0.2606

Question 2.
Nitrogen dioxide forms dinitrogen tetroxide according to the equation 2 NO2 (g) ⇌ N2O4 (g) when 0.1 mole of NO2 as added to a 1 litre flask at 25°C, the concentration changes so that at equilibrium [NO2] = 0.016M and [N2O4] = 0.042 M
a. What is the value of the reaction Quotient before any reaction occurs.
b. What is the value of the equilibrium constant for the reaction.
Solution:
Given equation
2NO2(g) ⇌ N2O4(g)
a) The value of reaction quotient before any reaction occurs = 0

b) KC = \(\frac{\left[\mathrm{N}_2 \mathrm{O}_4\right]}{\left[\mathrm{NO}_2\right]^2}\)
= \(\frac{0.042}{(0.016)^2}=\frac{0.042}{0.000256}\)
= 164.06
= 1.64 × 102

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 3.
The equilibrium constant for the reaction:
N2(g) + 3H2(g) ⇌ 2 NH3(g) at 725K is 6.0 × 10-2. At equilibrium, [H2] = 0.25 mol L-1 and [NO3] = 0.06 mol L-1. Calculate the equilibrium concentration of N2.
Solution:
Given
N2(g) + 3H2(g) ⇌ 2NH3(g)
KC = 6 × 10-2
[H2] = 0.25 moles/lit
[NH3] = 0.06 moles/lit
KC = \(\frac{\left[\mathrm{NH}_3\right]^2}{\left[\mathrm{~N}_2\right]\left[\mathrm{H}_2\right]^3}\)
6 × 10-2 = \(\frac{(0.06)^2}{\left(N_2\right)(0.25)^3}\)
[N2] = \(\frac{(0.06)^2}{6 \times 10^{-2} \times(0.25)^3}\)
= \(\frac{0.0036}{0.015625 \times 6 \times 10^{-2}}\)
= \(\frac{0.0036}{0.09375 \times 10^{-2}}\)
= 3.84 moles/lit

Question 4.
At certain temperature, Kc for the re action.
SO2 (g) + NO2 (g) ⇌ SO3 (g) + NO (g)
is 16. If intially one mole each of all the four gases are taken in one litre vessel. What are the equilibrium con centrations of NO and NO2.
Solution:
Given equations is
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 25
x = 8 – 4x
5x = 8
x = 1.6 moles/lit ∴ (NO] = 1.6 moles/lit
2 – x = 2 – 1.6 = 0.4 moles/lit
[NO2] = 0.4 moles/lit

Question 5.
Under certain conditions, the equilibrium constant for the decomposition of PCl5 (g) into PCl3 (g) and Cl2 (g) is 00211 mol L-1. What are the equilibrium concentrations of PCl5, PCl3 and Cl2, if the intial concentration of PCl5 was 1.00 M?
Solution:
PCl5(g) ⇌ PCl3 + Cl2(g)
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 26
0.0211 (1 – x) = x2
0.0211 – 0.0211 x = x2
x = 0.14 M
∴ 1 – x = 1 – 0.14
= 0.86 M
∴ 1 [PCl5] = 0.86 M
∴ [PCl3] = 0.86 M
[PCl3] = [Cl2] = 0.14 M

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 6.
For the reaction A + B ⇌ 3C at 25°C, a 3 litre vessel contains 1, 2, 4 mole of A, B and C respectively predict the direction of reaction if
a. Kc for the reaction is 10
b. Kc for the reaction is 15
c. Kc for the reaction is 10.66
Answer:
A + B ⇌ 3C at 25°C
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 27
a) Given Kc = 10
Kc< Qc
∴ Backward reaction takes place

b) Given Kc = 15
Kc > Qc
∴ Forward reaction takes place

c) Given Kc = 10.66 Q = Kc
∴ Represents equilibrium state

Question 7.
A mixture of H2, N2 and NH3 with molar concentrations 5.0 × 10-3 mol L-1, 4.0 × 10-3 mol L-1 and 2.0 × 10-3 mol L-1 respectively was prepared and heated to 500K. The value of Kc for the reaction : 3H2 (g) + N2 (g) ⇌ 2NH3 (g) at this temperature is 60. Predicts whether ammonia tends to form or decompose at this stage of concentration.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 28
Given Kc = 60
Kc < Qc
∴ Backward reaction i.e decomposition of NH3 takes place

Question 8.
At 500 K, Kp value for the reaction
2 SO2 (g) + O2 (g) ⇌ 2SO3 (g) is 2.5 × 1010.
Find the value of Kp for each of following reactions at the same temperature.
a. SO2(g) + 1/2O2(g) ⇌ SO3 (g)
b. SO3(g) ⇌ SO2(g) + 1/2O2(g)
c. 3SO2(g) + 3/2 O2(g) ⇌ 3SO3(g)
Solution:
2SO2(g) + O2(g) ⇌ 2SO3(g)
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 29
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 30

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 9.
Kc for the reaction N2O4 (g) ⇌ 2NO2 (g) is 4.63 × 10-3 at 25°C.
a. What is the value of K at this termperature
b. At 25°C, if the partial pressure of N2O4 (g) at equilibrium is 0.2 atm1 calculate equilibrium pressure of NO2(g).
Solution:
a) Given
Na2O4(g) ⇌ 2NO2(g)
kc = 4.63 × 10-3
kp = kc (RT)∆n
= 4.63 × 10-3 × 0.0821 × 298 [∆n = 1]
= 113.27 × 10-3
= 0.1132

b) kp = \(\frac{\mathrm{P}_{\mathrm{NO}_2{ }^2}}{\mathrm{P}_{\mathrm{N}_2 \mathrm{O}_4}}\)
0.1132 = \(\frac{\mathrm{P}_{\mathrm{NO}_2{ }^2}}{0.2}\)
PNO22 = 0.2264
PNO2 = 0.15 atm

Question 10.
At 27°C, Kp value for the reversible reaction PCl5(g) PCl5(g) + Cl2(g) is 0.65, calculate Kc
Solution:
PCl5(g) ⇌ PCl3(g) +Cl2(g)
Given kp = 0.65 .
kp = k<subC (RT)∆n
0.65 = k<subC 0.082 1 × 300 [T =27°C = 300K; ∆n = 1]
k<subC = \(\frac{0.65}{24.63}\) = 0.02639

Question 11.
Kc for the reaction, N2 (g) + 3H2 (g) 2NH3(g) is 0.5 at 400K, find Kp.
Solution:
N2(g) + 3 H2(g) ⇌ 2 NH3(g)
Given kC = 0.5
T = 400 K
kp = kc (RT)∆n
kp = 0.5 × (0.0821 × 400)-2 ∆n = -2
kp = 0.5 × (8.21 × 4)-2 = 0.5 × (32.84)-2
\(\frac{0.5}{1078.46}\) = 4.63 × 10-4

Question 12.
1 mole of A and 1 mole of B are taken in a 5 litre flask, 0.5 mole of C is formed in the equilibrium of
A + B ⇌ C + D.
What is molar concentration of each species if the reaction is carried with 2 mole of A 1 mole of B in a 5 litre flask at the same temperature.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 31
= 0.2 – 0.133 = 0.067 M
[C] = [D] = 0.133 M

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 13.
For the following reaction
PCl5(g) ⇌ PCl3(g) + Cl2(g) 0.4 mole of PCl5 0.2 mole of PCl3 and 0.6 mole of Cl2 are taken in a 1 litre flask. If Kc = 0.2, Predict the direction in which reaction proceeds.
Solution:
Given
PCl(g) ⇌ PCl3(g) + Cl2 (g)
QC = \(\frac{\left[\mathrm{PCl}_3\right]\left[\mathrm{Cl}_2\right]}{\left[\mathrm{PCl}_5\right]}\)
= \(\frac{0.2 \times 0.6}{0.4}\)
= 0.03
Given KC = 0.2
QC < KC
∴ Reaction proceds in forward direction.

Question 14.
In an equilibrium A + B C + D; A and B are mixed in a vessel at temperature T. The initial concentration of A was twice the initial concentration of B. After the attainment of equilibrium, concentration of C was thrice concentration of B, calculate Kc.
Solution:
Given
A + B ⇌ C + D
The initial concentrations of A was twice the initial concentration of B and after the attaining of equilibrium concentration of ‘C’ was thrice the concentration of ‘B’.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 32

Question 15.
A mixture of SO2, SO3 and O2 gases are maintained at equilibrium in 10 litre flast at a temperature at which Kc for the reactin 2SO2(g) + O2(g) ⇌ 2SO3(g) is 100. At equilibrium.
a. If no. of moles of SO3 and SO2 inflask are same, how many moles of O2 are present.
b. If no. of moles of SO3 in flask is twice the no. of moles SO2, how many moles of O2 are present.
Solution:
a) Given
2 SO2(g) + O2(g) ⇌ 2 SO3(g)
Given KC = 100

a) Given no.of moles of SO3 = No. of moles of SO2
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 33
y = \(\frac{4}{10}\) = 0.4
∴ 0.4 moles of O2 present.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 16.
For A + B ⇌ C, the equilibrium concentrations of A and B at a temperature are 15 mol L-1. When volume is doubled the reaction has euilibrium concentration of A as 10 mol L-1. Calculate.
a) Kc
b) Concentration of C in original equilibrium
Solution:
a) Given
A + B ⇌ C + D
a) KC
b) Concentration of C in original equilibrium

a) KC = \(\frac{[\mathrm{C}]}{[\mathrm{A}][\mathrm{B}]}\)
[A] = 10 moles/lit
[B] = 10 moles/lit
[CI = 20 moles/lit
= \(\frac{20}{10 \times 10}\)
= \(\frac{20}{100}\) = 0.2

b) KC = \(\frac{[\mathrm{C}]}{[\mathrm{A}][\mathrm{B}]}\)
[AI = [B] = 15 moles/lit
0.2 = \(\frac{[C]}{15 \times 15}\)
[C] = 225 × 0.2
= 45 M

Question 17.
A vessel at 100 K contains CO2 with a pressure of 0.5 atm. Some of the CO2 is converted into CO on addition of graphite. Calculate the value of K, if total pressure at equilibnum is 0.8 atm.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 34
0.5 – x + 2x = 0.8
x = 0.3
∴ PCO = 0.2 atm
PCO2 = 0.6 atm
K = \(\frac{\mathrm{P}_{\mathrm{CO}_2^2}}{\mathrm{P}_{\mathrm{CO}}}\)
= \(\frac{0.36}{0.2}\) = 1.8

Question 18.
The K1, va)ue for the reaction H2(g)+ I2(g) ⇌ 2 HI(g) at 460°C is 49. If the initial pressure of H2 and I2 are 0.5 atm respectively, determine the partial pressure of each gases a equilibrium.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 35
x = \(\frac{3.5}{9}\)
= 0.3888
∴ PHI = 2 × 0.3888
= 0.7788 atm
PH2 = 0.5 – 0.388
= 0.111 atm
PI2 = 0.5 – 0.3888
= 0.111 atm

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 19.
0.5 mol of H2 and 0.5 mole of I2 react in 10 litre flask at 448°C. The equilibrium constant Kc is 50 for
H2(g) + I2(g) ⇌ 2HI(g).
a) What is the value of Kp
b) Calculate mole of I2 at equilibrium.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 36
∴ No of moles of I2 = 0.5 – 0.3888
= 0.111 moles

Question 20.
How much PCl5 must be added to a one little vesel at 250°C in order to obtain a concentration of 0.1 mole of Cl2 at equilibrium. Kc for
PCl5(g) ⇌ PCl3(g) + Cl2(g) is 0.0414 M.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 37
∴ KC = \(\frac{\left[\mathrm{PCl}_3\right]\left[\mathrm{Cl}_2\right]}{\left[\mathrm{PCl}_5\right]}\)
0.0414 = \(\frac{0.1 \times 0.1}{x-0.0414}\)
0.0414 x – 0.00414 = 0.01
0.0414 x = 0.01 + 0.00414
x = 0.34154 moles

Question 21.
K for the reaction
N2(g) + 3H2(g) ⇌ 2NH3(g) at 400°C is 1.64 × 10-4.
a) Calculate Kc
b) Calculate ∆G° value using Kc value.
Solution:
Given equation N2(g) + 3H2(g) ⇌ 2NH3(g)
a) Kp = Kc (RT)∆n
∆n = 2 – (4)
= -2
1.64 × 10-4 = Kc (0.0821 × 673)-2
Kc = 1.64 × (55.2533)2 × 10-4
Kc = 0.5006

b) ∆G° = -2.303 RT log K
= -2.303 × 0.0821 × 673 × log 0.5005
= 3874 J

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 22.
Calculate the pH of
a) 10-3 M HCl
b) 10-3 M H2SO4
c) 10-6 M HNO3
d) 0.02 M H2SO4
Solution:
a) 10-3 M HCl
pH = -log (H+)
= – log 10-3
= 3

b) 10-3 M H2SO4
pH = – log10 [H+]
= 0.001 × 2
= 0.002
pH = – log 0.002
= – log2 × 10-3
= – log2 – log 10-3
= 3 – log2
= 3 – 0.3010
= 2.699

c) 10-6 M HNO3
0.0008 M Ba(OH)2)
pOH = – log [OH]
[OH] = 0.0008 × 2
= 0.0016 N
∴ pOH = – log 0.0016
= – log 16 × 10-4
= – log 16 + 4 log 10
= – log24 + 4
= – 4 log 2 + 4 = 2.796
pH + pOH = 14
pH = 14 – 2.796
pH = 11.204

d) 0.02 M H2SO4
pH = -log10(H+)
[H+] = 0.02 × 2
= 0.04N
pH = – log 0.04
= -log 4 × 102
= -log4 – log 10-2
= 2 – log4
= 1.3010

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 23.
Calculate of pH for
a) 0.001 M NaOH
b) 0.01 M Ca (OH)2
c) 0.0008 M Ba(OH)2
d) 0.004M NaOH
Solution:
a) 0.001 M NaOH
pOH = -log[OH]
pOH = – log (0.001)
= – log 10-3
= 3
pH = 14 – pOH = 14 – 3 = 11

b) 0.01 M Ca (OH)2
pOH = -log [OH]
[OH] = 0.01 × 2
= 0.02 N
pOH = – log 0.02
pOH = -log 2 × 10-2
pOH = – log2 + 2 log 10
= 2 – 0.3010
= 1.699
∴ pH = 14 – pOH
= 14 – 1.699 = 12.301

c) 00008M Ba(OH)2
pOH = -log [OW]
[OH] = 0.0008 × 2
= 0.0016N
∴ pOH = – log 0.0016
= -log 16 × 10
= -log 16 + 4log 10
= – log 24 + 4
= -4 log 2 + 4 = 2.796
pH + pOH = 14
pH = 14 – 2.796
pH = 11.204
10-6M HNO3
PH = -log [H+]
= -log 10-6
= 6 log 10
= 6

d) 0.004M NaOH
pOH = – log[OH]
= – log 0.004
= – log 4 × 10-3
= 3 – log22
= 3 – 0.6020
= 2.398
pH = 14 – POH
= 14 – 2.398
= 11.602

Question 24.
The pH of a solution is 3.6 Calculate H3O+ ion concentration.
Solution:
pH = – log [H+]
log [H+] = – 3.6 (or) \(\overline{4} .4000\)
[H+] = anti log of \(\overline{4} .4\)
= 2.512 × 10-4.

Question 25.
The pH of a solution is 8.6 calculate the OH ion concentration.
Solution:
pH = 8.6
∴ pOH = 14 – pH
= 14 – 8.6
= 5.4
∴ pOH = – log [OH]
log [OH] = -5.4 (or) \(\overline{6} .6000\)
[OH] = anti log of \(\overline{6} .6000\)
= 3.981 × 10-6

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 26.
What is [H+] for a solution in which
a) pH = 3
b) pH = 4.75
c) pH = 4.4
Solution:
a) Given
pH = 3
∴ pH = – log [H+]
log [H+] = -3
∴ [H+] = 10-3 M

b) Given
pH = 4.75
PH = – log [H+]
log [H++] = – 4.75 (or) \(\overline{5} .2500\)
[H+] = anti log of 5.2500
= 1.77 × 10-5 M

c) Given
pH = 4.4
PH = – log [H+]
log [H+] = – 4.4 (or) \(\overline{5} .6\)
[H+] = anti log of \(\overline{5} .6\)
= 2.512 × 10-6 M

Question 27.
A solution of 0.005 M H2SO4 is diluted 100 times. Calculate the pH of diluted solution.
Solution:
0.005 M H2SO4
[H+] = 0.005 × 2 = 0.01
It is diluted to 100 times
[H+] = \(\frac{0.01}{100}\) = 0.0001
pH = – log [H+]
= – log 0.0001
= – log 10-4 = 4

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 28.
A solution of HCl has a pH = 3. If one ml of it is diluted to 1 litre, what will be the pH of the resulting solution ?
Solution:
Given
pH = 3 for HCZ solution
∴ [H+] = 10-3 M
It is diluted to litre
∴ [H+] = \(\frac{10^{-3}}{10^3}\) = 10-6
∴ pH = – log [H+]
= – log 10-6 = 6

Question 29.
What is the pH of 10-8 M HCl ?
Solution:
The given acid solution is very dilute. Hence the H+ obtained from the acid and water must be taken into consideration.
H+ ion concentration of acid is 10-8 M
H+ ion concentration of water is 10-7 M
Total [H+] = 10-8 + 10-7
= 1.1 × 10-7 or 1.1 × 10-7 M
∴ pH = – log 1.1 × 10-7
= 7 – log 1.1 = 7 – 0.0414 = 6.995

Question 30.
Calculate the pH of the following basic solutions.
a. [OH] = 0.05 M
b. [OH] = 2 × 10-4 M
Solution:
a) [OH] = 0.05 M
pOH = – log (0.05)
= – log 5 × 10-2
= – log 5 + 2 log 10
= 2 – log 5
= 1.3010
pH = 14 – pOH
pH = 14 – 1.3010
= 12.699

b) [OH] = 2 × 10-4 M
pOH = – log 2 × 10-4
= – log 2 + log 10
= 4 – log 2
= 4 – 0.3010
= 3.699
pH = 14 – 3.699 = 10.301

Question 31.
2g of NaOH is dissolved in water to give 1 litre solution. What is the pH of the solution ?
Solution:
N = \(\frac{w t}{G \in w} \times \frac{1}{1}\)
= \(\frac{2}{40}\) = \(\frac{1}{20}\) = 0.05 N = [OH]
∴ pOH = – log 0.05
= – log 5 × 10-2
= 2 – log 5
= 1.3010
pH = 14 – pOH
= 13 – 1.3010
= 12.699

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 32.
Calculate the pH of the following solutions.
a. 0.37 g of Ca(OH)2 dissolved in water to give 500 ml solution
b. 0.3 g of NaOH dissolved in water to give 200 ml solution
c. 0.1825% HCl aqueous solution
d. 1ml of 13.6 M HCl is diluted with water to give 1 litre solution.
Solution:
a) 0.37 gms of Ca(OH)2 in 500 ml
N = \(\frac{w t}{G \times w} \times \frac{1}{1}\)
N = \(\frac{0.37}{37} \times \frac{1000}{500}\)
= 0.01 × 2
= 0.02 = pOH
pOH = – log 0.02
= 1.699
pH = 14 – pOH = 12.301

b) 0.3 gms of NaOH in 200 mZ solution
N = \(\frac{0.3}{40} \times \frac{1000}{200}\)
= \(\frac{0.3 \times 5}{40}=\frac{1.5}{40}\)
= 0.375 = [OH]
pOH = – log [OH]
= – log 0.375
= 1.426
pH = 14 – pOH
= 14 – 1.426
= 12.574

c) 0.1825% HCl solution means 100 ml
solution contain 0.1825 g. of HCl
Normality (N) = \(\frac{W}{E W} \times \frac{1000}{V}\)
= \(\frac{0.1825}{36.5} \times \frac{1000}{100}\) = 0.05 N
∴ [H+] = 0.05 N
∴ pH = – log[H+]
= – log [0.051
= – log [5 × 10-2]
= 2 – log 5
= 2 – 0.692
∴ pH = 1.308

d) ∴ [H+] = 13.6
Diluted with water to 1 litre solution
∴ [H+] = \(\frac{13.6}{1000}\) = 0.016
pH = – log [H+]
= – log 0.0136 = 1.87

Question 33.
How many grams of NaOH are present in 100 ml solution if pH of the solution is 10?
Solution:
Given
pH = 10
pOH = 14 – 10 = 4
∴ Normality = 10-4 N
N = \(\frac{w t}{G M w} \times \frac{1000}{V(m l)}\)
10-4 = \(\frac{w t}{40} \times \frac{1000}{100}\)
∴ wt = 4 × 10-4 gms

Question 34.
The value of Kw is 9.55 × 10-14 at certain temperature. Calculate the pH of water at this temperature.
Solution:
Since Kw = [H+] [OH]
Kw = 9.55 × 10-14 mol2/lit2
[H+] [OH] = 9.55 × 10-14 mol2/lit2
∴ [H+] = \(\sqrt{9.55 \times 10^{-14}}\)
= 3.09 × 10-7 mol/lit
pH = – log[H+]
= – log [3.09 × 10-7]
= – [log 3.09 + log 10-7]
= – [0.49 – 7]
pH = 7 – 0.49 = 6.51

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 35.
Calculate the pH of 10-8 M NaOH.
Solution:
The given box solution is very dilute. Hence OH obtained from the box and water must be taken into consideration.
∴ [OH] = 10-8 + 10-7 = 1.1 × 10-7
pOH = -log 1.1 × 10-7
pOH = 6.995
∴ pOH = 14 – 6.995 = 7.005

Question 36.
150 ml of 0.5 M HCl and 100 ml of 0.2 M HCl are mixed. Find the pH of the resulting solution.
Solution:
N = \(\frac{N_1 V_1+N_2 V_2}{V_1+V_2}\)
= \(\frac{150 \times 0.5+100 \times 0.2}{250}\)
= \(\frac{75+20}{250}=\frac{95}{250}\) = 0.38
pH = – log [H+] = – log 1 (0.38) = 0.42

Question 37.
Calculate the pH of solution obtained by mixing 10ml of 0.1 M HCl and 40ml of 0.2M H2SO4.
Solution:
M = \(\frac{10 \times 0.1+40 \times 0.4}{50}\)
= \(\frac{1+16}{50}=\frac{17}{50}\) = 0.34
pH = – log [H+]
= – log (0.34) = 0.4685

Question 38.
100 ml of pH = 4 solution is mixed with 100 ml of pH = 6 solution. What is the pH of resulting solution.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 38

Question 39.
Equal volumes of 0.5 M NaOH and 0.3 M KOH are mixed in an experiment. Find the pOH and pH of the resulting solution.
Solution:
N = \(\frac{N_1 V_1+N_2 V_2}{V_1+V_2}\)
N = \(\frac{x(0.5)+x(0.3)}{x+x}\) Given value equal
= \(\frac{0.8}{2}\) = 0.4 = [OH]
pOH = – log [OH]
= – log (0.4)
= 0.3979
pH = 14 – 0.3979
= 13.6021

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 40.
60 m2 of 1 M HCl is mixed with 40 ml of 1 M NaOH. What is the pH of resulutant solution ?
Solution:
VANA > VBNB ⇒ N = \(\frac{V_A N_A-V_B N_B}{V_A+V_B}\)
∴ N = \(\frac{60-40}{60+40}\)
= \(\frac{20}{100}\) = \(\frac{1}{5}\) = 0.2
pH = – log [H+] = – log 0.2
= 0.699

Question 41.
Calculate the pH of a solution which contains 100 m2 of 0.1 M HCl and 9.9 m2 of 1.0M NaOH.
Solution:
Here VANA > VBNB
N = \(\frac{V_A N_A-V_B N_B}{V_A+V_B}\)
= \(\frac{10-9.9}{109.9}\)
= \(\frac{0.1}{109.9}\)
= 0.000909.
pH = – log [H+]
= – log (0.000909)
= 3.0416

Question 42.
What will be the resultant pH when 200 ml of an aqueons solution of HCl having pH = 2 is mixed with 300 m2 of an aqueous of NaOH having pH = 12?
Solution:
VA = 200 ml
NA = 10-2
[∵ pH = 2]

VB = 300 ml
NB = 10-2
[∵ pOH = 2]
∴ VBNB > VANA
∴ N = \(\frac{300 \times 10^{-2}-200 \times 10^{-2}}{300+200}\)
= \(\frac{1}{500}\) = 0.002 = [OH]
pOH = – log [OH]
= – log [0.002]
= -log 2 × 10-3
= – log 2 + 3 log 10
= 3 – log 2
= 2.699
∴ pH = 14 – pOH
= 14 – 2.699
= 11.3010

Question 43.
50 ml of 0.2 M HCl is added to 30 ml of 0.1 M KOH solution. Find pH of the solution.
Solution:
VA = 50 ml ; VB = 30 ml
NA = 0.2 N; NB = 0.1 ml
VANA > VBNB
∴ N = \(\frac{V_A N_A-V_B N_B}{V_A+V_B}\)
= \(\frac{50 \times 0.2-30 \times 0.1}{50+30}\)
= \(\frac{1-0.3}{80}=\frac{0.7}{80}\)
= 0.00875
∴ pH = – log [H+]
= – log (0.00875)
= 1.058.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 44.
40 ml of 0.2 M HNO3 when reacted with 60 ml of 0.3 M NaOH, gave a mixed solution. What is the pH ofo the resulting solution.
Solution:
VBNB > VANA
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 39

Question 45.
50 ml of 0.1 M H2SO4 were added to 100 ml of 0.2 M HNO3. Then the solution is diluted to 300 ml. What is the pH of the solution.
Solution:
V1 = 50 ml ; V2 = 100 ml
N1 = 0.1 × 2 = 0.2N ; N2 = 02N
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 40

Question 46.
What is the Kw value in an aqueons solution of pKw = 13.725
Solution:
Given pKw = 13.725
pKw = – log Kw
Kw = antilog of 13.725
= 1.884 × 10-14

Question 47.
The ionic product of water at 80°C is 2.44 × 10-13. What are the concentrations of hydroniumion and the hydroxide in pure water at 80°C?
Solution:
Kw = [H+] [OH]
Kw = 2.44 × 10-13
For pure water [H+] = [OH]
∴ [H+] = Kw
[H+] = \(\sqrt{2.44 \times 10^{-13}}\)
= 4.94 × 10-7 moles / lit
∴ [OH] = 4.94 × 10-7 mole/lit

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 48.
The ionization constant for water is 2.9 × 10-14 at 40°C. Calculate [H3O+], [OH]. pH and pOH for pure water at 40C.
Solution:
Kw = [H-1] [OH]
2.9 × 10-14 = [H+] [OH]
For pure water [H+] = [OH]
∴ [H+]2 = 2.9 × 10-14
[H+] = 1.7 × 10-7 = [H3O+]
∴ [OH] = 1.7 × 10-7
pH = – log [H+]
= -log [1.7 × 10-7]
= 7 – log 1.7 = 6.7689
pOH = – log [OH]
= – log [1.7 × 10-7]
= 7 – log 1.7 = 6.7689

Question 49.
Calculate the pH of
a. 0.002 M acetic acid having 2.3% dissociation.
b. 0.002 M NH4OH having 2.3% dissociation.
Solution:
a) [H+] = Cα
= 0.002 × 2.3 = 0.0046
pH = – log [H+]
= – log 0.0046
= 4.3372

b) [OH] = Cα
= 0.002 × 2.3
= 0.0046
pOH = – log [OH]
= – log 0.0046
= 4.3372
pH = 14 – pOH
= 14 – 4.3372
= 9.6628

Question 50.
Calculate Ka of acetic acid from equilibrium concentration given below
[H3O+] = [CH3COO] = 1.34 × 10-3M, [CH3COOH] = 9.866 × 10-2 M
Solution:
Given
[H3O+] = [CH3COO] = = 1.34 × 10-3 M
[CH3COOH] = 9.866 × 10-2 M
Ka = \(\frac{\left[\mathrm{H}_3 \mathrm{O}^{+}\right]\left[\mathrm{CH}_3 \mathrm{COO}^{-}\right]}{\left[\mathrm{CH}_3 \mathrm{COOH}\right]}\)
= \(\frac{1.34 \times 10^{-3} \times 1.34 \times 10^{-3}}{9.866 \times 10^{-2}}\)
= 1.819 × 10-5

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 51.
Calculate pH of 0.1 M acetic acid having Ka =1.8 × 10-5.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 41

Question 52.
The pH of 0.1 M solution of weak mono protic acid is 4.0 calculate its [H+] and Ka.
Solution:
Given pH = 4.0
∴ [H+] = ?
pH = – log[H+]
[H+] = 10-pH
= 10-4
∴ [H+] = C × α
α = \(\frac{10^{-4}}{0.1}\)
= 10-3
Ka = C × α2
= 0.1 × (10-3)2
= 0.1 × 10-6
= 10-7.

Question 53.
Ka of 0.02 M CH3 COOH is 1.8 × 10-5. Calculate
a. [H3O+]
b. % ionization
c. pH
Solution:
(a), (b)
d2 = \(\frac{K_a}{C}\)
= \(\frac{1.8 \times 10^{-5}}{0.02}\)
α2 = 9 × 10-4
α = 3 × 10-2
% of ionisation
[H3O+] = C × α
= 0.02 × 3 × 10-2 = 6 × 10-4

c) pH = -log[H3O+]
= -log(6 × 10-4) = 3.24.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 54.
Calculate the pH of 0.01 M solution of CH3 COOH. Ka for CHa OOH at 298K is 1.8 × 10-5.
Solution:
α2 = \(\frac{K_a}{C}\)
= \(\frac{1.8 \times 10^{-5}}{0.01}\)
= 180 × 10-5
= 18 × 10-4
α = 4.1 × 10-2
∴ [H3O+] = 0.01 × 4.1 × 10-2
= 4.1 × 10-4
pH = – log [H3O+]
= -log (4.1 × 10-4) = 3.38.

Question 55.
The pH of 0.1 M solution of an organic acid is 4.0 calculate the dissociation constant of the acid.
Solution:
Given pH = 4.0
∴ [H+] = ?
pH = – log[H+]
∴ [H+] = 10-pH = 10-4
∴ [H+] = C × α
α = \(\frac{10^{-4}}{0.1}\) = 10-3
Ka = C × α2
= 0.1 × (10-3)2 = 0.1 × 10-6 = 10-7

Question 56.
Three ionization constants for HF, HCOOH and HCN at 298 K are 6.8 × 10-4, 1.8 × 10-4 and 4.8 × 10-9 respectively. Calculate the ionization constants of the corresponding conjugate base.
Solution:
i) Consider the case of HF
Ka = 6.8 × 10-4
Kb = \(\frac{\mathrm{K}_{\mathrm{W}}}{\mathrm{K}_{\mathrm{a}}}=\frac{1 \times 10^{-14}}{6.8 \times 10^{-4}}\) = 0.147 × 10-10
ii) Consider the case of HCOOH
Ka = 1.8 × 10-4
Kb = \(\frac{K_w}{K_a}=\frac{1 \times 10^{-14}}{1.8 \times 10^{-4}}\) = 0.56 × 10-10

iii) Consider the case of HCN
Ka = 4.8 × 10-9
Kb = \(\frac{\mathrm{K}_{\mathrm{w}}}{\mathrm{K}_{\mathrm{a}}}=\frac{1 \times 10^{-14}}{4.8 \times 10^{-9}}\) = 0.208 × 10-5

Question 57.
Find the concentration of hydroxide ion in a 0.25 M solution of trimethylamine, a weak base.
(CH3)3N + H2O ⇌ (CH3)3N+H+OH; Kb = 7.4 × 10-5.
Solution:
σα = \(\sqrt{\frac{K_b}{c}}=\sqrt{\frac{7.4 \times 10^{-5}}{0.25}}\)
= 1.74 × 10-3
[OH] = c × α
= 0.25 × 1.74 × 10-3
= 4.32 × 10-3 M

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 58.
The 0.005 M monobasic acid has a pH of 5. What is the extent of ionization ?
Solution:
pH = 5
∴ [H+] = 10-5
Concentration (C) = 0.005 M = 5 × 10-3 M
[H+] = Cα
α = degree of dissociation per mole = ?
∴ α = \(\frac{\left[\mathrm{H}^{+}\right]}{\mathrm{C}}=\frac{\left[\mathrm{H}^{+}\right]}{5 \times 10^{-3}}=\frac{10^{-5}}{5 \times 10^{-3}}\)
= \(\frac{1}{5}\) × 10-2 = 0.2 × 10-2
Percentage of degree of dissociates
= 0.02 × 10-2 × 100 = 0.2 %

Question 59.
50 ml of 0.1 M NH4OH, 25m1 of 2 M NH4Cl were used to make a buffer. What is the pH if PKa is 4.8.
Solution:
The given buffer is a base buffer.
For a base buffer pOH = pKb + log \(\frac{[\text { Salt }]}{[\text { Base }]}\)
∴ pOH = 4.8 + \(\log \left\{\frac{\frac{(25 \times 2)}{75}}{\frac{(50 \times 0.1)}{75}}\right\}\)
= 4.8 + log(10) = 4.8 + 1 = 5.8
∴ pH = (14.0 – pOH) = (14.0 – 5.8) = 8.2
∵ pH + pOH = 14.0 at room temperature.

Question 60.
The pH of a buffer prepared by mixing 50 ml of 0.2 M CH3 COOH and 25 ml of CH3 COONa is 4.8. If the PKa is 4.8. What is the strength of CH3 COONa.
Solution:
The given solution is an acid buffer.
∴ The pHof the buffer is given by,
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 42

Question 61.
50 ml of 0.1 M sodium acetate, 25ml of 0.2 M acetic acid were added together to form the buffer solution. PKa of CH3 COOH is 4.8 Find the pH of the solution.
Solution:
The buffer solution is an acid buffer.
Hendersen’s equation for an acid buffer is
pH = pKa + log
\(\frac{[\text { Salt }]}{[\text { Base }]}=4.8+\left\{\log \frac{\frac{(0.1 \times 50)}{75}}{\frac{(0.2 \times 25)}{75}}\right\}\)
= 4.8 + log (1)
∴ pH = 4.8.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 62.
When 20 ml of 0.1 M NH4OH are added to 20ml of 1M NH4Cl solution, the pH of the buffer formed is 8.2. What is the pKa of NH4OH?
Solution:
For base buffer, pH is given by
pH = 14.0 – pOH and pOH
= pKb + \(\log \frac{[\text { Salt }]}{[\text { Base }]}\)
The pH of the buffer = 8.2;
∴ pOH =(14 – pH) = 5.8 then
5.8 = pKb + \(\log \frac{[\text { Salt }]}{[\text { Base }]}\)
= pKb + \(\log \left[\frac{\frac{20 \times 1}{40}}{\frac{20 \times 0.1}{40}}\right]\)
= pKb + log (10) = (pKb + 1.0)
∴ pKb = (5.8 – 1) = 4.8

Question 63.
One litre of buffer solution contains 0.1 mole of aceticacid add 1 mole of sodium acetate. Find its pH if PKa of CH3COOH is 4.8.
Solution:
For an acid buffer pH = PKa + \(\log \frac{[\text { Salt }]}{[\text { Base }]}\)
pH = 4.8 + log \(\frac{1}{0.1}\) = 4.8 + log 10
pH = 4.8 + 1 ⇒ pH = 5.8

Question 64.
50 ml of 1 M CH3 COOH solution, when added to 50 ml of 0.5 M NaOH gives a solution with a pH ‘X’. Find the value of ‘X’. PKa of acetic acid is 4.8.
Solution:
Acetic acid reacts with sodium hydroxide to form sodium acetate.
CH3COOH + NaOH → CH3COONa + H2O
No.of millimoles of CH3COOH = 50 × 1 = 50
No.of millimoles of NaOH = 50 × 0.5 = 25
No.of millimoles of CH3. COOH remained unreacted = 50 – 25 = 25
Total Vol. of solution = 50 + 50 = 100 ml
No. of millimoles of CH3COONa formed = 25
∴ Molarity of CH3COONa = \(\frac{25}{100}\) = .25 M
Molarity of CH3COOH = \(\frac{25}{100}\) = .25 M
pH = pKa + \(\log \frac{[\text { Salt }]}{[\text { Base }]}\)
pH = 4.8 + log \(\frac{1}{0.1}\) = 4.8 + log 10
= 4.8 + log \(\frac{.25}{.24}\) = 4.8 + log(1)
∴ pH of the solution = 4.8 + 0 = 4.8

Question 65.
The solubility product of AgCl is 1.6 × 10-10 mol2/L2. What is solubility?
Solution:
KSP = S2
1.6 × 10-10 = S2
∴ S = \(\sqrt{10^{-10} \times 1.6}\) = 1.3 × 10-5 moles /litre.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 66.
The solutbility product of Zr (OH)2 is 4.5 × 10-17 mol3L-3 what is solubility?
Solution:
Zn(OH)2 ⇌ Zn++ + 2OH
∴ KSP = S × 4S2 = 4S3
∴ 4S3 = 4.5 × 10-17
S3 = 4.5 × 10-18/4 = 11.7 × 10-18
S = \(\sqrt[3]{11.7} \times \sqrt[3]{10^{-18}}\)
S = 2.6 × 10-6

Question 67.
The solubility of Ag2 CrO4 is 1.3 × 10-4 mol L-1. What is the solubility product ?
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 43
KSP = 4S2 × S = 4S3
∴ KSP = 4 × S3
= 4 × (1.3 × 10-4)3
KSP = 9 × 10-12

Question 68.
The solubility of A2B = 2 × 10-3 mol L-1. What is solubility product?
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 44
KSP = [2s]2[S]
S = 3\(\sqrt{\frac{K_{S P}}{4}}\)
= 3\(\sqrt{\frac{2 \times 10^{-3}}{4}}\) = 3.2 × 10-10

Question 69.
The sotubility product of a salt AB = 10-10 mol2 L-2. What is solubility?
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 45
KSP = s2
S = \(\sqrt{K_{s p}}=\sqrt{10^{-10}}\) = 10-5 moles/lit

Question 70.
PQ and RS2 are two sparingly soluble salts. Their solubility products are equal and each equal to 4.0 × 10-18. Which salt is more soluble ?
Solution:
Given KSP of PQ and RS2 salts = 4 × 10-18
S = \(\sqrt{\frac{K_{\mathrm{SP}}}{4}}\) for RS2
S = \(\sqrt{K_{s p}}\) for PQ
∴ Solubility of RS2 is more.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 71.
In a 0.1 M solution, acetic acid is 1.34% ionized. Calculate [H+], [CH3COO] and [CH3COOH] in the solution and Calculate Ka of acetic acid.
Solution:
Given 1.34 % ionised
[H+] = C × α
= 0.1 × 1.34 × 10-2 = 1.34 × 10-3 M
∴ [CH3COOH] =1.34 × 10-3 M
[H+] = Cα = 1.34 × 10-3]
α = \(\frac{1.34 \times 10^{-3}}{0.1}\) = 1.34 × 10-2]
[CH3COO] (1 – α) = 0.1 (1 – 0.0134)
= 0.09866 M
Ka = α2 × C
= (1.34 × 10-2) × 0.1 = 1.79 × 10-5

Solved Problems

Question 1.
The following concentrations were obtained for the formation of NH3 from N2 and H2 at equilibrium at 500 K. [N2] = 1.5 × 10-2 M. [H2] = 3.0 × 10-2 M and [NH3] = 1.2 × 10-2 M. Calculate equilibrium constant.
Solution:
The equilibrium constant for the reaction. N2(g) + 3 H2 (g) ⇌ NH3(g) can be written as,
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 46

Question 2.
At equilibrium, the concentrations of N2 = 3.0 × 10-3 M, O2 = 4.2 × 10-3 M and NO = 2.8 × 10-3 M in sealed vessel at 800K. What will be Kc for the reaction
N2(g) + O2 (g) ⇌ 2 NO(g)
Solution:
For the reaction equilibrium constant, KC can be written as,
KC = \(\frac{[\mathrm{NO}]^2}{\left[\mathrm{~N}_2\right]\left[\mathrm{O}_2\right]}\)
= \(\frac{\left(2.8 \times 10^{-3} \mathrm{M}\right)^2}{\left(3.0 \times 10^{-3} \mathrm{M}\right)\left(4.2 \times 10^{-3} \mathrm{M}\right)}\)
= 0.622

Question 3.
PCl5, PCl3 and Care at equilibrium at 500 K and having concentration 1.59 M PCl3, 159M Cl2 and 1.41 M PCl5, Calculate K for the reaction
PCl5 ⇌ PCl3 + Cl2
Solution:
The equilibrium constant K. for the above reaction can be written as,
KC = \(\frac{\left[\mathrm{PCl}_3\right]\left[\mathrm{Cl}_2\right]}{\left[\mathrm{PCl}_5\right]}=\frac{(1.59)^2}{(1.41)}\) = 1.79

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 4.
The value of KC = 4.24 of 800 K for the reaction
CO (g) + H2O (g) ⇌ CO2 (g) + H2 (g)
Calculate equilibrium concentrations of CO2, H2, CO and H2O at 800 K, if only CO and H2O are present initially at concentrations of 0.10 M each.
Solution:
For the reaction,
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 47
where x is the amount of CO2 and H2 at equilibrium.
Hence, equilibrium constant can be written as,
KC = x2/(0.1 – x)2 = 4.24
x2 = 4.24(0.01 + x2 – 0.2 x)
x2 = 0.0424 + 4.24 x2 – 0.848 x
3.24 x2 – 0.848 x + 0.0424 = 0
a = 3.24, b = – 0.848, c = 0.0424
(for quadratic equation ax2 + bx + c = 0
x = \(\frac{\left(-b \pm \sqrt{b^2-4 a c}\right)}{2 a}\)
x = 0.848 ± \(\sqrt{(0.848)^2}\) – 4(3.24) (0.04224) / (3.24 × 2)
x = (0.848 ± 0.4118)/6.48
x1 = (0.848 – 0.4118)] 6.48 = 0.067
x2 = (0.848 + 0.4118)/6.48 = 0.194
the value 0.194 should be neglected because it will give concentration of the reactant which is more than initial concentration. Hence the equilibrium concentrations are,
[CO2] [H2] = x = 0.067 M
[CO] = [H2O] = 0.1 – 0.067 = 0.033 M

Question 5.
For the equilibrium, 3 NOCl (g) ⇌ 2 NO(g) + C2 (g) the value of the equilibrium constant, KC is 3.75 × 10-6 at 1069 K. Calculate the Kp for the reaction at this temperature ?
Solution:
We know that,
KP = KC(RT)∆n
For the above reaction,
∆n = (2 + 1) – 2 = 1
KP = 3.75 × 10-6 (0.0831 × 1069)
KP = 0.033

Question 6.
The value of KP for the reaction.
CO2 (g) + C(s) ⇌ 2CO (g) is 3.0 at 1000 K. If initially PCO2 = 0.48 bar and PCO = 0 bar and pure graphite is present, calculate the equilibrium partial pressures of CO and CO2.
Solution:
For the reaction,
let ‘x’ be the decrease in pressure of CO2, then
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 48
= (-3 ± 5.66)/8
= (-3 + 5.66)/8 (as value of x cannot be negative hence we neglect that value)
x = 2.66/8 = 0.33
The equilibrium partial pressures are,
PCO = 2x = 2 × 0.33 = 0.66 bar
PCO2 = 0.48 – x = 0.48 – 0.33 = 0.15 bar

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 7.
The value of Kc for the reaction
2A ⇌ B + C is 2 × 10-3. At a given time, the composition of reaction mixture is [A] = [B] = [C] = 3 × 10-4 M. In which direction the reaction will proceed ?
Solution:
For the reaction the reaction quotient QC is given by.
QC = [B] [C] / [A]2
as [A] = [B] = [C] = 3 × 10-4 M
QC = (3 × 10-4) (3 × 10-4)/ (3 × 10-4)2 = 1
as QC > KC so the reaction will proceed in the reverse direction.

Question 8.
13.8 g of N2O4 was placed in a 1L reaction vessel at 400 K and allowed to attain equilibrium
N2O4(g) ⇌ 2 NO2(g)
The total pressure at equilbrium was found to be 9.15 bar. Calculate KC, KP and partial pressure at equilibrium.
Solution:
We know pV = nRT
Total volume (V) = 1 L
Molecular mass of N2O4 = 92 g
Number of moles = 13.8 g / 92 g = 0.15 of the gas (n)
Gas constant (R) = 0.083 bar L mol-1K-1
Temperature (T) = 400 K
pV = nRT
p × 1L = 0.15 mol × 0.083 bar L mol-1K-1 × 400 K
p = 4.98 bar
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 49
Hence,
ptotal at equilibrium = pN2O4 + pNO2
9.15 = (4.98 – x) + 2x
9.15 = 4.98+ x
x = 9.15 – 4.98 = 4.17 bar
Partial pressures at equilibrium are,
pN2O4 = 4.98 – 4.17 = 0.81 bar
pNO2 = 2x = 2 × 4.17 = 8.34 bar
Kp = (pNO2)2 / pN2O4
= (8.34)2 / 0.81 = 85.87
Kp = KC (RT)∆n
85.87 = KC(0.083 × 400)1
KC = 2.586 = 2.6

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 9.
300 mol of PCl5 kept in 1L closed reaction vessel was allowed to attain, equilibrium at 380K. Calculate composition of the mixture at equilibrium. Kc = 1.80
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 50

Question 10.
The value of ∆G° for the phosphorylation of glucose in glycolysis is 13.8 kJ/mol. Find the value of Kc at 298 K.
Solution:
∆G° = 13.8 ki/ mol = 13.8 × 103J/mol
Also, ∆G° = – RT Inkc
Hence, In Kc = – 13.8 × 103 J/mol
(8.314 Jmol-1K-1 × 298 K)
In Kc = 5.569
Kc = e-5 569
Kc = 3.81 × 10-3

Question 11.
Hydrolysis of sucrose gives.
Sucrose + H2O ⇌ Glucose + Fructose Equilibrium constatnt Kc for the reaction is 2 × 1013 at 300K. Calculate ∆GΘ at 300K.
Solution:
∆G° = -RT InKc
∆G° = -8.314J mol-1K-1 × 300K × In (2 × 1013)
∆G° = – 7.64 × 104J mo-1

Question 12.
What will be the conjugate bases for the following Bronsted acides: HF, H2SO4 and \(\mathrm{HCO}_3^{-}\) ?
Solution:
The conjugate bases should have one proton less in each case and therefore the corresponding conjugate bases are: F, \(\mathrm{HSO}_3^{-}\) and CO2-3 respectively.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 13.
Write the conjugate acids for the following Bronsted bases: NH2, NH3 and HCOO.
Solution:
The conjugate acid should have one extra proton in each case and therefore the corresponding conjugate acids are : NH3, NHO+4 and HCOOH respectively.

Question 14.
The species; H2O, \(\mathrm{HCO}_{3^{\prime}}^{-}\), \(\mathrm{HCO}_{4^{\prime}}^{-}\) and NH3 can act both as Bronsted acids andbases. For each case give the corresponding conjugate acid and conjugate base.
Solution:
The answer is given in the following Table:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 51

Question 15.
Classify the following species into Lewis acids and Lewis bases and show how these act as such :
(a) HO
(b) F
(c) H+
(d) BCl3
Solution:
(a) Hydroxyl ion is a Lewis base as it can donate an electron lone pair (: OH).
(b) Flouride ion acts as a Lewis base as it can donate any one of its four electron lone pairs.
(c) A proton is a Lewis acid as it can accept a lone pair of electrons from bases like hydroxyl ion and fluoride ion.
(d) BCl2 acts a Lewis acid as it can accept a lone pair of electrons from species like ammonia or amine molecules.

Question 16.
The concentration of hydrogen ion in a sample of soft drink is 3.8 × 10-3M. What is its pH ?
Solution:
pH = – Log[3.8 × 10-3]
= -{log[3.8] + log[10-3}]
= – {(0.58) + (-3.0)} = -2.42} = 2.42
Therefore, the pH of the soft drink is 2.42 and it can be inferred that it is acidic.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 17.
Calculate pH of a 1.0 -8 M solution of HCl.
Solution:
2H2O(1) H3O+ (aq) + OH(aq)
Kw = [OH][H3O+]
= 10-14
Let, x = [OH] = [H3O+] from H2O. The H3O+ concentration is generated (i) from the ionization of HCl dissolved i.e., HCl (aq) + H2O (1) ⇌ H3O+ (aq) + Cl(aq), and (ii) from ionization of H2O. Inthese very dilute solutions. both sources of H3O+ must be considered:
[H3O+] = 10-8 + X
Kw = (10-8 + x)(x) = 10-14
or x2 + 10-8 x – 10-14 = 0
[OH] = x = 9.5 × 10-8
So, pOH = 7.02 and pH = 6.98

Question 18.
The ionization costant of HF is 3.2 × 10-4. Calculate the degree of dissociation of HF in its 0.02 M solution. Calculate the concentration of all species present (H3O+.F and HF) in the solution and its pH.
Solution:
The following proton transfer reactions are possible :
1) HF + H2O ⇌ H3O+FKa = 3.2 × 10-4
2) H2O + H2O H3O+ + OH Kw = 1.0 × 10-14
As ka >> Kw, [1] is the principle reaction.
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 52
Substituting equilibrium concentrations in the equailibrium reaction for principal reaction gives.
Ka (0.02α)2/ (0.02 – 0.02α)
= 0.02α2/(1 – α) = 3.2 × 10-4
We obtain the following quadratic equation:
α2 + 1.6 × 10-2α – 1.6 × 10-2 = 0
The quadratic equation in α can be solved and the two values of the roots are :
α = + 0.12 and – 0.12
The negative root is not acceptable and hence.
a = 0.12
This means that the degree of ionization α = 0.12, then equilibrium concentrations of other species viz., HF, F and H3O+ are given by:
[H3O+] = [F] = cα = 0.02 × 0.12
= 2.4 × 10-3M
[HF] = c(1 – α) = 0.02(1 – 0.12)
= 17.6 × 10-3M
pH = -log[H+] = -log (2.4 × 10-3) = 2.62

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 19.
The pH of 0.1 M monobasic acid is 4.50. Calculate the concentration of species H+, A and HA at equilibrium. Also, determine the value of Ka and pKa of the monobasic acid.
Solution:
pH = – log [H+]
Therefore [H+] = 10-pH = 10-4.50
= 3.16 × 10-5
[H+] = [A] = 3.16 × 10-5
Thus, Ka = [H+] [A] / [HA]
[HA]eqlbm = 0.1 – (3.16 × 10-5) ≅ 0.1
Ka = (3.16 × 10-5)2/0.1 = 1.0 × 10-8
pKa = – log (10-8) = 8
Alternatively, “Percent dissociation” is another useful method for measure of strength of a weak acid and is given as : Percent dissociation
= [HA]dissociated × 100/[HA]initial (7.32)

Question 20.
Calculate the pH of 0.08M solution of hypochlorous acid. HOCI. The ionization Constant of the acid is 2.5 × 10-5, Determine the percent dissociation of HOCl
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 53
[H+] = 1.41 × 10-3 M Therefore,
Percent dissociation
= {[HOCI]dissociated × 100/[HOCI]initial}
= 1.41 × 10-3 /0.08 = 1.76%,
pH = -log (1.41 × 10-3) = 2.85

Question 21.
The pH of 0.004 M hydrazine solution is 9.7. Calculate is ionization constant Kb and pKb.
Solution:
NH2NH2 + H2O ⇌ \(\mathrm{NH}_2 \mathrm{NH}_3^{+}\) +OH
From the pH we can calculate the hydrogen ion concentration. Knowing hydrogen ion concentration and the ionic product of water we can calculate the concentration of hydroxyl ions. Thus we have :
[H+] = antilog (-pH)
= antilog (-9.7) = 1.67 × 10-10
[OH] = Kw/[H+] = 1 × 10-14/ 1.67 × 10-10
= 5.98 × 10-5
The concentration fo the corresponding hydrazinium ion is also the same as that of hydroxyl ion. The concentrations of both these ions are very small so the concentration of the undissociated base can be taken equal to 0.004 M.
Thus,
Kb = [NH2NH3+] [OH] / [NH2NH2]
= (5.98 × 10-5)2/0.004 = 8.96 × 10-7
pKb = -logKb = -log(8.96 × 10-7 ) = 6.04

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 22.
Calculate the pH of the solution in which 0.2M NH4Cl and 0.1 M NH3 are present. The pKb of ammonia solution is 4.75.
Solution:
NH3 + H2O ⇌ \(\mathrm{NH}_4^{+}\) + OH
The ionization constant of NH3,
Kb= antilog (-pKb) i.e.
Kb = 10-4.75 = 1.77 × 10-5 M
3 + H2O ⇌ \(\mathrm{NH}_4^{+}\) + OH Initial concentration (M)
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 54
Change in concentration to reach equilibrium (M)
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 55
Kb = [latex]\mathrm{NH}_4^{+}[/latex][OH-1] / [NH3]
= (0.20 × x) (x) / (0.1 – x) = 1.77 × 10-5
As Kb is small, we can neglect x in comparison to 0.1 M and 0.2 M. Thus
[OH] = x = 0.88 × 10-5
Therefore, [H+] = 1.12 × 10-9
pH = -log [H+] = 8.95 .

Question 23.
Determine the degree of ionization and pH of a 0.05M of ammonia solution. The ionization constant of ammonia can be taken from Table 7.7. Also, calculate the ionization constant of the conjugate acid of ammonia.
Solution:
The ionization of NH3 in water is represented by equation :
NH3 + H2O ⇌ \(\mathrm{NH}_4^{+}\) + OH
We use equation (7.33) to calculate hydroxyl ion concentration,
[OH] c α = 0.05 α
Kb = 0.05 α2/(1 – α)
The value of α is small, therefore the quadratic equation can be simplified by neglecting a in comparison to 1 in the denominator on right hand side of the equation,
Thus,
Kb = C α2 or α = \(\sqrt{\left(1.77 \times 10^{-5} / 0.05\right)}\)
= 0.018.
[OH] = C α = 0.05 × 0.018 = 9.4 × 10-4 M.
[H+] = Kw/[OH] = 10-14 / (9.4 × 10-4)
= 1.06 × 10-11
pH = -log (1.06 × 10-11) = 10.97
Now, using the relation for conjugate acid-base pair,
Ka × Kb = Kw
using the value of Kb of NH3 from Tabel 7.7.
We can determine the concentration of con-jugate acid \(\mathrm{NH}_4^{+}\)
Ka × Kw/ Kb = 10-14/ 1.77 × 10-5
= 5.64 × 10-10.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 24.
Calculate the pH of a 0.10M ammonia solution. Calculate the pH after 50.0 mL of this solution is treated with 25.0 mL of 0.10M HCl. The dissociation constant of ammonia, Kb = 1.77 × 10-5.
Solution:
NH3 + H2O ⇌ \(\mathrm{NH}_4^{+}\) + OH
Kb = [latex]\mathrm{NH}_4^{+}[/latex] [OH] / [NH3] = 1.77 × 10-5
Before neutralization,
[latex]\mathrm{NH}_4^{+}[/latex] [OH] = x
[NH3] = 0.10 – x – 0.10, x2 / 0.10 = 1.77 × 10-5
Thus, x= 1.33 × 10-3 = [OH]
Therefore, [H+] = Kw / [OH] = 10-14 / (1.33 × 10-3)= 7.51 × 10-12
pH = -log (7.5 × 10-12 ) = 11.12
On addition of 25 mL of 0.1 M HCl solution (i.e., 2.5 mmol of HCl) to 50 mL of 0.1 M ammonia solution (i.e., 5 mmol of NH3), 2.5 mmol of ammonia molecules are neutralized. The resulting 75 mL solution contains the remaining unneutralized 2.5 mmol of NH3 molecules and 2.5 mmol of \(\mathrm{NH}_4^{+}\)
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 56
The resulting 75 mL of solution contains 2.5 mmol of \(\mathrm{NH}_4^{+}\) ions (i.e., 0.033M) and 2.5 mmol (i.e., 0.033M) of uneutralised NH3 molecules. This NH3 exists as NH4OH in the following equilibrium :
AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases 57
The final 75 mL solution after neutralisation already contains 2.5 m mol [latex]\mathrm{NH}_4^{+}[/latex] ions (i.e. 0.033M), thus total concentration of [latex]\mathrm{NH}_4^{+}[/latex] ions is given as : [NHJ] = 0.033 + y
As y is small, [NH4OH] ≃ 0.033 M and [latex]\mathrm{NH}_4^{+}[/latex] ≃ 0.033M.
We know,
Kb = [latex]\mathrm{NH}_4^{+}[/latex] [OH] / [NH4OH]
= y(0.033)/(0.033) 1.77 × 10-5 M
Thus, y = 1.77 × 10-5 = [OH]
[H+] = 10-14/ 1.77 × 10-5 = 0.56 × 10-9
Hence, pH = 9.24

Question 25.
The pKa of acetic acid and pKa of ammonium hydroxide are 4.76 and 4.75 respectively. Calculate the pH of am-monium acetate solution.
Solution:
pH = 7 + 1/2 [pKa – pKb]
= 7 + 1/2 [4.76 – 4.75]
= 7 + 1/2 [0.01] = 7 + 0.005 = 7.005

Question 26.
Calculate the solubility of A2X3 in pure water, assuming that neither kind of ion reacts with water. The solubility product of A2X3, Ksp = 1.1 × 10-23.
Solution:
A2X3 ⇌ 2A3+ + 3X2-
Ksp = [A3+]2 [X2-]3 = 1.1 × 10-23
If S = solubility of A2X3, then
[A3+] = 2S; [X2-] = 3S
therefore, Ksp = (2S)2 (3S)3 = 108S5
= 1.1 × 10-23
thus, S5 = 1 × 10-23
S = 1.0 × 10-5 mol/L.

AP Inter 1st Year Chemistry Study Material Chapter 7 Chemical Equilibrium and Acids-Bases

Question 27.
The values of Ksp of two sparingly soluble salts Ni(OH)2 and AgCN are 2.0 × 10-15 and 6 × 10-17 respectively. Which salt is more soluble ? Explain.
Solution:
AgCN ⇌ Ag+ + CN
Ksp = [Ag+] [CN] = 6 × 10-17
Ni(OH)2 ⇌ Ni2 + 2OH
Ksp = [Ni2+] [OH]2 = 2 × 10-15
Let [Ag+] = S1 then [CN] = S1
Let [Ni2+] = S2 then [OH] = 2S2
S12 = 6 × 10-17 = S1 = 7.8 × 10-9
(S2) (2S2)2 = 2 × 10-15, S2 = 0.58 × 10-4
Ni(OH)2 is more soluble than AgCN.

Question 28.
Calculate the molar solubility of Ni(OH)2 in 0.10 M NaOH. The ionic product of Ni(OH)2 is 2.0 × 10-15.
Solution:
Let the solubility of Ni(OH)2 be equal to S. Dissolution of S mol/L of Ni(OH)2 provides S mol/L of Ni2+ and 2S mol/L of OH, but the total concentration of OH = (0.10 + 2S) mol/L because the solution already contains 0.10 mol/L of OH from NaOH.
Ksp = 2.0 × 10-15 = [Ni2+] [OH]2
(S) (0.10 + 2S)2 As Ksp is small, 2S < < 0.10,
thus, (0.10 + 2S) ≈ 0.10
Hence,
2.0 × 10-15 S(0.10)2
S = 2.0 × 10-13 M = [Ni2+]

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 6th Lesson Thermodynamics Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 6th Lesson Thermodynamics

Very Short Answer Questions

Question 1.
What is the information given by the term thermodynamics?
Answer:

  • Thermodynamics gives information on energy changes involved in a chemical reaction (or) process.
  • The laws of thermodynamics deal with energy changes in macroscopic systems involving a large no.of molecules.

Question 2.
What is the relationship between the laws of thermodynamics and the equilibrium state?
Answer:

  • Laws of thermodynamics apply only when a system is in equilibrium (or) moves from one equilibrium state to another equilibrium state.
  • Macroscopic properties like pressure and temperature do not change with time for a system in an equilibrium state.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 3.
Define a system. Give an example.
Answer:
System: A small part of the universe chosen for thermodynamic study is called system.

Question 4.
The wall is adiabatic and AU = Wad. What do you understand about the heat and work with respect to the system?
Answer:

  • In adiabatic process there is no transfer of heat between system and surroundings.
  • Work done adiabatic process is the change in internal energy of the system.
    Work done in adabatic process Wad = U2 – U1 = ∆U
  • Here work done on the system is positive and work done by the system is negative.

Question 5.
The system loses ‘q’ amount of heat though no work is done on the system. What type of wall does the system have ?
Answer:

  • Here heat is transferred through a thermally conducting walls.
  • In this case charge in internal energy ∆U = q can be measured interms of temperature difference.
    q = TB – TA
  • Here no work is done at constant volume,
    q = +ve → heat transferred from surrounding to system.
    q = -ve → heat transferred from system to surrounding.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 6.
Work is done by the system and ‘q’ amount at heat is supplied to the system. What type of system would it be ?
OR
Work is done by the system and heat (q) is supplied to the system. What type of system would it be ?
Answer:
The system is closed system .
Mathematical form
∆U = q – W
∆U = Change in internal energy
q = heat supplied
W = Workdone by the system.

Question 7.
What is the workdone in the free expansion of an ideal gas in reversible and irreversible processes ?
Answer:
In case of free expansion of an ideal gas pressure becomes zero, (into vaccum) .
∴ No workdone during free expansion of an ideal gas in case to reversible as well as irreversible process.

Question 8.
From the equation ∆U = q-pex∆V, if the volume is constant what is the value of ∆U.
Answer:
Suppose volume is constant change in volume ∆V = 0
∆U = q = pex∆V
∆U = q – 0
∆U = q
∴ Internal energy change = heat supplied.

Question 9.
In isothermal free expansion of an ideal gas find the value of q and ∆U.
Answer:
∆U = q + W
In case of free expansion of a gas in isothermal process.
W = 0, q = 0, ∆U = 0
Work done W = 0 (∵ Pexp = 0)
∴ q = 0, U = 0

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 10.
In isothermal irreversible change of ideal gas what is value of q ?
Answer:
In case of an isothermal irreversible change,
q = W = 0
q = -W
= pexp(Vf – Vi)

Question 11.
In isothermal reversible change of an ideal gas, what is the value of q ?
Answer:
In case of isothermal irreversible change
q = W
q = nRTln \(\frac{V_f}{V_i}\)
q = 2.303 nRT log \(\frac{V_f}{V_i}\)

Question 12.
For an adiabatic change is an ideal gas what is the relationship between its ∆U and W (adiabatic) ?
Answer:
For an adiabatic change q = 0
∆U = q + W
∆U = 0 + W
∆U = W
Change in internal energy = Work done in adiabatic process.

Question 13.
State the first law of the thermodynamics.
Answer:
First law of thermodynamics :
The law of conservation of energy is taken as the first law of thermodynamics.
Statements :

  1. “Energy can neither be created nor destoyed, although it can be transformed from one form to another”.
  2. “It is impossible to construct perpetual motion machine of first kind”.
  3. “The total energy of the system, and surroundings in constant”.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 14.
What are the sign conventions of the work done on the system and work done by the system ?
Answer:

  • Work done on the system uses positive sign.
  • Work done by the system uses negative sign.

Question 15.
Volume (V), pressure (P) and Temperature (T) are state functions. Is the statement true ?
Answer:
Volume (V), Pressure (P) and Temperature (T) are state functions. These do not depends upon path or reaction but only depends upon state of reaction.

Question 16.
What are the heat (q) sign conventions when heat is transferred from the surroundings to the system and that transferred from system to the surrounding ?
Answer:
q = positive → Heat transferred from surrounding to the system.
q = negative → Heat transferred from system to the surroundings.

Question 17.
No heat is absorbed by the system from the surroundings, but work (w) is done on the system. What type of wall does the system have ?
Answer:
No heat is absorbed by the system from the surroundings but work (w) is done on the system. It is adiabatic change. Hence the wall is called adiabatic wall.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 18.
No work is done on the system, but heat (q) is taken out from the system by the surroundings. What type of wall does the system have ?
Answer:
No work is done on the system, but heat (q) is taken out from the system by the surroundings. Then the containing wall is thermally conducting wall.

Question 19.
q = w = -Pext (vf – vi) is for irreversible ………… change.
Answer:
q = w = -Pext (vf – Vi) is for irreversible isothermal change.

Question 20.
q = -w = nRT in (vf/vi) is for isothermal change.
Answer:
q = -w = nRT/n \(\frac{v_f}{v_i}\) is for isothermal reversible change.

Question 21.
What are the ‘∆H’ sign conventions for exothermic and endothermic reactions ? [T.S. Mar. ’16]
Answer:
Compounds which liberate heat in their formation reaction from the constituent elements are called exothermic compounds.
For this reactions, ∆Hf = negative
Compounds which absorb heat in the formation reaction from the constituent elements are called endothermic compounds.
For this reactions, ∆Hf = positive.

Question 22.
What are intensive and extensive properties ?
Answer:
Measurable (or) macroscopic properties such as mass, pressure, volume, temperature, surface tension, viscosity etc., can be subdivided into two categories as below :
i) Extensive properties : The properties whose magnitude depends upon the quantity of matter present in the system are called extensive properties. Examples of such properties are mass, volume, heat capacity, internal energy, entropy, heat content, Gibbs free energy etc. These properties change with quantity of matter present in the system. These properties are additive in nature.

ii) Intensive properties : The properties which do not depend upon the quantity of matter present in the system are called intensive properties. Examples of such properties are density, molar volume, molar entropy, molar heat capacity, surface tension, viscosity, specific heat, refractive index, pressure, temperature, boiling point, freezing point, vapour pressure etc. These properties depends only on the nature of the substance.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 23.
In the equation q = c. m. ∆T. If ∆T is change in temperature’m1 mass of the substance and ‘q1 is heat required, what is ‘c’ ?
Answer:
Given q = c × m × ∆T.
In the above equation c = Specific heat.
Specific heat: The amount of heat required to raise the temperature of 1gm of substance by 1°C is called specific heat.

Question 24.
Give the equation that gives the relationship between ∆U and ∆H.
Answer:
The equation that gives the relationship between ∆U and ∆H.
∆H = ∆U + ∆nRT
∆H = Change in Enthalpy
∆U = Change in Internal energy
∆n = nP – nR, R = Universal gas constant :
T = Temperature

Question 25.
What is the relationship between Cp and Cv ?
Answer:
Cp – Cv = R
Cp = Heat capacity at constant pressure
Cv = Heat capacity at constant volume
R = Universal gas constant.

Question 26.
1g of graphite is burnt in a bomb calorimeter in excess of O2 at 298K and 1 atm. pressure according to the equation.
C(graphite) + O2(g) → CO2(g)
During the reaction the temperature rises from 298K to 299K. Hat capacity of the bomb calorimeter is 20.7kJK-1. What is the enthalpy change for the above reaction at 298 K and 1 atm ?
Answer:
Given equation C(graphite) + O2(g) → CO2(g)
∆T = 299 – 298 = 1K
q = Cv × ∆T = -20.7 × 1 = -20.7 KJ
Given 1 gm of graphite ∴ ∆H = ∆U (∵ ∆h = 0)
∴ ∆U = – 20.7 KJ/k
For 1 mole
∆U = 12 × -20.7 = -248 KJ/mole

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 27.
For the above reaction what is the internal energy change, ∆U ?
Answer:
For the above reactions
Internal Energy change ∆U = – 20.7 KJ/k

Question 28.
What is ∆rH for CH4(g) + 2O2(g) → CO2(g) + 2H2O(l) interms of molar enthalpies of the respective reactants and products ?
Answer:
rH = Sum of enthalpies of products – sum of enthalpies of reactants
= ∆Hp – ∆Hr
rH = (H(CO2) + 2 × H(H2O)) – (H(CH4) + 2 × H(O2))

Question 29.
Enthalpy decrease is not the criterion for spontaneity. Why ?
Answer:
Change in enthalpy “(∆H) = negative” may be a condition but not a necessary and sufficient condition for the spontaneous nature of a reaction.

Question 30.
Is increase of entropy the criterion for spontaneity ? Why ?
Answer:
Change in entropy “(∆S) = positive” is a condition but is not necessary and sufficient condition for the spontaneous nature of a reaction.

Question 31.
Explain the relationship between Gibbs energy change and equilibrium constant.
Answer:
∆G° =2.303 RT logk
∆G = Change in Gibbs free energy
K = Equilibrium constant

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 32.
If we measure ∆Hθ and ∆Sθ it is possible to estimate ∆Gθ. Is it true ? why ?
Answer:
∆G° = ∆H° – T ∆S°
If we can measure ∆H° and ∆°S° then we can estimate ∆G° by the above equation, the given statement is true.

Question 33.
Equilibrium constant ‘K’ is measured accurately in the laboratory at given temperature. Is it possible to calculate ∆G° at any other temperature ? How ?
Answer:
It is possible to calculate ∆G° from the measurement of ∆H° and ∆S° and we can calculate K at any temperature.
∆G° = ∆H° – T ∆S°

Question 34.
Comment on the thermodynamic stability of NO(g) given that
\(\frac{1}{2}\) N2(g) + \(\frac{1}{2}\) O2(g) → NO(g); ∆rH° = 90kJ mol-1
NO(g) + \(\frac{1}{2}\) O2(g) → NO2(g); ∆rH° = -74kJ mol-1
Answer:
\(\frac{1}{2}\) N2(g) + \(\frac{1}{2}\) O2(g) → NO(g); ∆rH° = 90kJ mol-1
NO(g) + \(\frac{1}{2}\) O2(g) → NO2(g); ∆rH° = -74kJ mol-1
NO(g) formation is endothermic (∆H = + ve)
NO2(g) formation is exothermic (∆H = -ve)
∴ NO(g) is thermodynamically unstable.

Question 35.
Calculate the entropy change in surroundings when 1.00 mole of H2O(1) is formed under standard conditions ∆fH° = – 286k J mol-1.
Answer:
Formula ∆S = \(\frac{\Delta_{\mathrm{f}} \mathrm{H}^{\circ}}{\mathrm{T}}=\frac{-286}{273}\) = -1.0476 KJ/mole.K
∆Ssurrounding = 1.0476 KJ/mole.k

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 36.
The equilibrium constant for a reaction is 10. What will be value of ∆G°? R = 8.314JK-1 mol-1,T = 300K.
Answer:
Formulae ∆G° = —RTlnk
K = 10
R = 8.314 J/K.mole
T = 300 K
= – 2.303 RT logK
= – 2.303 × 8.314 × 300 × log 10 = – 5774.14 J/mole

Question 37.
State the third law of thermodynamics. [T.S. Mar. 16]
Answer:
Third law of thermodynamics: “The entropy of a pure and perfectly crystalline substance is zero at the absolute zero of a temperature (- 273° C)”.
Slim T → 0 = 0
This law imposes a limitation on the value of entropy.
ST = \(\int_0^T \frac{C_p}{T} \cdot d T\)

Short Answer Questions

Question 1.
What are open, closed and isolated systems ? Give one example for each.
Answer:
Types of systems : The systems are classified into three types. These are :
a) Open system : A system which can exchange matter as well as energy with the surroundings is called an open system.
Ex :Evaporation of water from a beaker presents as open system.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 2
Here vapours of water (matter) go into the atmosphere and heat (energy) required is absorbed by water from the surroundings.

b) Closed system : A system which may exchange energy but not matter with surroundings is called a closed system.
Ex : Consider boiling of water in a closed metallic vessel. Here, heat is transferred from the burner (surroundings) to the system. Steam remains inside the vessel. Thus, matter is not exchanged.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 3

c) Isolated system : A system which can neither exchange matter nor energy with the surroundings is called an isolated system.
Ex : Take some water in an insulated vessel and put a small piece of sodium metal in it. An exothermic reaction takes place.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 4
Neither hydrogen gas (matter) nor heat (energy) is transferred to the surroundings.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 2.
Define the state function and state variables, Give examples.
Answer:
State function : Properties of the systems which depends on the initial and the final states of the system but are independent of the path are called state functions.
Eg. : Energy, Volume, Enthalpy, Gibbs Energy.
State variables : Variables like P, V, T are called state variables. These are used to describe a system completely.

Question 3.
“Internal energy is a state function”. Explain.
Answer:
Internal energy (E) : ‘The total energy stored in the substance at constant temperature and pres-sure is called its internal energy (E)”.
It is a state function and is an extensive property.
Internal energy change (∆E) is considered as the difference between the internal energies of products and reactants.
∆E = (Ep – Er)
In any path taken (Q – W) is equal to ∆E.
Where Q = heat and W = Work.
Internal energy is a state function it depends on initial state and find state of the system.

Question 4.
“Work is not a state function”. Explain.
Answer:
Work is not a state function.

  • One state of a system can be changed to another in a several ways. Work involved in different paths differ in their quantity.
  • Work depends on the path of the reaction but not on the state of the system.
  • Work is dependent on the capacity factor and intensity factor.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 5.
What is heat ? Explain.
Answer:
The internal energy of a system can be change by transfer of heat from the surroundings to system (or) vice versa with out consumption of work.
This exchange of energy which results of temperature difference is called heat (q).

Question 6.
Derive the equation for ‘Wrev‘ in isothermal reversible process.
Answer:
Derivation of equation for Wrev in isothermal reversible process :
Let the work done against the pressure Sw = -P.dv
Assume that expansion isothermally from volume V1 to volume V2
[P = pressure (External)
dv = change in volume]
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 1

Question 7.
Two litres of an ideal gas at a pressure of 10 atm expands isothermally into a vacuum until its total volume is 20 litres. How much heat is absorbed and how much work is done in the expansion ?
Answer:
Heat absorbed = 0
‘P‘ of gas = 10 at m
PExp = 0
V1 = 2 lit
V2 = 20 lit
Because the given process is isothermal
∴ ∆U = 0
q + w = 0
q = -w
= pex (V2 – V2)
= Pex(20 – 2) = 0
= 0 (18) = 0
q = 0 and work done also zero
∴ w = 0

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 8.
If the ideal gas given in the problem 45 expands against constant external pressure of 1 atm what is the q value ?
Answer:
Formula
q = – W
pex = 1 atm
pgas = 10 atm
V1 = 2 lit
V2 = 20 lit
= pex(VV2 – V2)
= 1 (20 – 2)
= 18 lit. atm

Question 9.
If the ideal gas given in the problem 45 expands to a final volume of 10L conducted reversibly what is q value ?
Answer:
V1 = 2 lit, V2 = 10 lit.
The expression for reversible isothermal expansion; q = 2.303 log \(\frac{\mathrm{v_2}}{\mathrm{v_1}}\)
q = -w = 2.303 × log \(\frac{20}{2}\) = 2.303 × 20 log 10
= 46.06 lit. atm.

Question 10.
Explain the state function enthalpy, H’. What is the relationship between ∆U and ∆H ?
Answer:
Enthalpy (H) : “Enthalpy is the amount of heat exchanged by a system with its surroundings at constant pressure and temperature”.
The energy change taking place at constant pressure and at a constant temperature is called enthalpy change (∆H).
Mathematically, ∆H = ∆U + P. ∆N. When ∆U = Internal energy change.
Enthalpy is state function. Thus, the magnitude of enthalpy change depends only upon the enthalpies in the initial and the final states.
∆H = [HProducts – HReactants]
For gaseous reactions, ∆H = ∆U + ∆nRT

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 11.
Show that ∆H = ∆U + ∆n(g), RT
Answer:
The energy change taking place at constant pressure and at a constant temperature is called enthalpy change (∆H).
Mathematically, ∆H = ∆U + P. ∆V. When ∆U = Internal energy change.
Enthalpy is state function. Thus, the magnitude of enthalpy change depends only upon the enthalpies in the initial and the final states.
∆H = [HProducts – Hreactants]
For gaseous reaction, ∆H = ∆U + ∆nRT
Consider PV1 = n1 RT
PV2 = n2 RT
PV2 – PV1 = n2 RT – n1 RT
P(V2 – V1) = (n2 – n11)RT
P × ∆V = ∆ ng RT
[We know that ∆H = ∆U + P∆V]
∆H = ∆U + ∆ng RT

Question 12.
If Water vapour is assumed to be a perfect gas, molar enthalpy change for vapourisation of 1 mole of water at 1 bar and 100° C is 41 kJ mol-1. Calculate the internal energy change when
a) 1 mol of water is vapourised at 1 bar and 100° C
b) 1 mol of water liquid is converted into ice.
Answer:
∆H = 41kJ
∆ng = 1
a) H2O ⇌ H2O(g)
∆H = ∆U + ∆n(g) RT
41 = ∆U + 8.314 × 10-3 × 373
∆U = 41 – 3.101 = 37.899 KJ / mole

b) H2O ⇌ H2O(ice)
∆H = ∆U + ∆n(g) RT
∆H = ∆U [∵ ∆n = 0]
∆H = ∆U = 41 kJ /mole

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 13.
Explain extensive and intensive properties.
Answer:
Measurable (or) macroscopic properties such as mass, pressure, volume, temperature, surface tension, viscosity etc., can be subdivided into two categories as below :
i) Extensive properties: The properties whose magnitude depends upon the quantity of matter present in the system are called extensive properties. Examples of such properties are mass, volume, heat capacity, internal energy, entropy, heat content, Gibbs free energy etc. These properties change with quantity of matter present in the system. These properties are additive in nature.

ii) Intensive properties: The properties which do not depend upon the quantity of matter present in the system are called intensive properties. Examples of such properties are density, molar volume, molar entropy, molar heat capacity, surface tension, viscosity, specific heat, refractive index, pressure, temperature, boiling point, freezing point, vapour pressure etc. These properties depends only on the nature of the substance.

Question 14.
Define heat capacity. What are Cp and Cv ? Show that Cp – Cv = R.
Answer:
Heat capacity (C) : “Heat capacity (G) of a substance is defined as the amount of heat required to raise its temperature through one degree”.
(or)
It is the ratio of heat absorbed (q) to the resulting increase in temperature (dT)
∴ C = \(\frac{\mathrm{q}}{\mathrm{dT}}\)
Heat capacity (C) is a state function. Hence to evaluate ‘C’, the conditions such as volume or constant pressure have to be specified in order to define the path. Thus there are two different types of heat capacities. These are :
i) Heat capacity at constant volume (Cv)
ii) Heat capacity at constant pressure (Cp).
From first law of thermodynamicsl,
q = dE + W = dE + P.dV (∵ W = PV)
∴ C = \(\frac{\mathrm{q}}{\mathrm{dT}}\) = \(\frac{\mathrm{dE}+\mathrm{P} \cdot \mathrm{dV}}{\mathrm{dT}}\)
If the absorption of heat takes place at constant volume, Cv (i.e.,) dV = 0
∴ Cv = \(\frac{\mathrm{q}_{\mathrm{V}}}{\mathrm{dT}}=\frac{\partial \mathrm{E}+\mathrm{O}}{\partial \mathrm{T}}=\left(\frac{\partial \mathrm{E}}{\partial \mathrm{T}}\right)_V\)
∴ Cv = \(\left(\frac{\partial E}{\partial T}\right)_V\)
Definition for “Cv“: Heat capacity of a system at constant volume (Cv) may be defined as rate of change of internal energy with temperature at constant volume.
If heat is absorbed by the system at constant pressure, heat capacity is denoted by ‘Cp‘ and is called heat capacity at constant pressure.
Cp = \(\frac{\mathrm{q}_{\mathrm{p}}}{\mathrm{dT}}=\left(\frac{\partial \mathrm{E}}{\partial \mathrm{T}}\right)_{\mathrm{p}}+\mathrm{P}\left(\frac{\partial \mathrm{V}}{\partial \mathrm{T}}\right)_{\mathrm{p}}\) ………… (1)
But H = E + PV
Differentiating this equation w.r.to T at constant pressure, we get
\(\left(\frac{\partial \mathrm{H}}{\partial \mathrm{T}}\right)_p=\left(\frac{\partial \mathrm{E}}{\partial \mathrm{T}}\right)_p+\left(\frac{\partial \mathrm{V}}{\partial \mathrm{T}}\right)_p\) ………………. (2)
From equation (1) and (2), we get
Cp = \(\left(\frac{\partial \mathrm{H}}{\partial \mathrm{T}}\right)_p\)
Definition for Cp: Heat capacity of a system at constant pressure (Cp) may be defined as rate of change of enthalpy with temperature at constant pressure.
Derivation of Cp – Cv = R
H = E + PV (For an ideal gas)
differentiating w.r.t. T.
\(\frac{\mathrm{dH}}{\mathrm{dT}}=\frac{\mathrm{dE}}{\mathrm{dT}}+\frac{\mathrm{d}(\mathrm{PV})}{\mathrm{dT}}\)
⇒ \(\frac{\mathrm{dH}}{\mathrm{dT}}=\frac{\mathrm{dE}}{\mathrm{dT}}+\frac{\mathrm{d}(\mathrm{RT})}{\mathrm{dT}}\) [∵ PV = RT]
\(\frac{\mathrm{dH}}{\mathrm{dT}}=\frac{\mathrm{dE}}{\mathrm{dT}}+\mathrm{R}\)
Cp – Cv = R

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 15.
Explain the determination of ‘∆U’ of a reaction calorimetric
Answer:

  • The technique of measuring heats of reactions is called calorimetres. The apparatus used is calorimeter.
  • Calorimeter is a vessel properly insulated and contains water as the calorimetric liquids.
  • A combustioble substance is burnt in oxygen.
  • Heat evolved during the reaction is measured from the rise in temperature.
  • Here there is no worke done as ∆V = 0
  • By the raise of temperature of water bath and calorimeter the amount of heat evolved can be determined.
    AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 5
    Internal Enegy ∆U = Q. ∆t × \(\frac{M}{m}\)
    Q = heat capacity
    ∆t = t2 – t1
    M = molar mass of substance
    m = mass of the substance

Question 16.
Explain the determination of ∆H of a reaction calorimetrically.
Answer:
Heat change at constant pressure can be measured in a calorimeter at constant pressure ∆H = qp
∴ For Exothermic reaction ∆H = -ve
For Endothermic reaction ∆H = +ve
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 6

Question 17.
What is enthalpy of a reaction ? Explain the standard enthalpy of a reaction.
Answer:
Enthalpy (H) : “Enthalpy is the amount of heat exchanged by a system with its surroundings at constant pressure and temperature”.
The energy change taking place at constant pressure and at a constant temperature is called enthalpy change (∆H).
Mathematically, ∆H = ∆U + P. ∆V. When ∆U = Internal energy change.
Enthalpy is state function. Thus, the magnitude of enthalpy change depends only upon the enthalpies in the initial and the final states.
∆H = [HProducts – HReactants]
For gaseous reactions, ∆H = ∆U + ∆nRT

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 18.
What is the standard enthalpy of formation ? Explain it with example.
Answer:
The heat change involved in the reaction of formation of one mole of a compound is called enthalpy of formation.
If all the substances are in the standard states the enthalpy of formation is called standard enthalpy of formation.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 7
In the above reactions the substances are in standand states

Question 19.
Define and explain enthalpy of phase transformation.
Answer:
Enthalpy of phase transformation : The heat change involved in the change of phase (or) physical state of one mole of compound at atmospheric pressure.
a) Standard molar enthalpy of fusion (∆fusH0) : The enthalpy change that accompanies melting of one mole of a soild substance in standard state is called Standard molar enthalpy of fusion.
Eg : H2O(s) → H2O(l)fusH0 = 6.00 KJ mol-1

b) Standard molar enthalpy of vapourisation (∆vapH0): Amount of heat required to vapourise 1 mole of a liquid at constant temperature and under standard pressure (1 bar) is called its standard molar enthalpy of vapourisation (∆vapH0).
Eg : H2O(l) → H2O(g)vapH0 = + 40.79 KJ mol-1

c) Standard enthalpy of sublimation (∆subH0): It is the change in the enthalpy when are mole of a solid substance sublimes at a constant temperature under standard pressure.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 8

Question 20.
Define and explain the standard enthalpy of vapourisation (Molar enthalpy of vapourisation)
Answer:
Standard molar enthalpy of fusion (∆fusH0) : The enthalpy change that accompanies melting of one mole of a soild substance in standard state is called Standard molar enthalpy of fusion.
Eg : H2O(s) → H2O(l)fusH0 = 6.00 KJ mol-1

Question 21.
Define and explain the standard enthalpy of vapourisation (Molar entghalpy of vapourisation)
Answer:
Standard molar enthalpy of vapourisation (∆vapH0) : Amount of heat required to vapourise 1 mole of a liquid at constant temperature and under standard pressure (1 bar) is called its standard molar enthalpy of vapourisation (∆vapH0).
Eg : H2O(l) → H2O(g)vapH0 = + 40.79 KJ mol-1

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 22.
Define and explain the standard enthalpy sumlimation.
Answer:
Standard enthalpy of sublimation ∆subH0 : It is the change in the enthalpy when are mole of a solid substance sublimes at a constant temperature under standard pressure.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 8

Question 23.
Define and explain the standard enthalpy of formation (∆f Hθ).
Answer:
The heat change involved in the reaction of formation of one mole of a compound is called Enthalpy of formation
If all the substances are in the standard states the enthalpy of formation is called standard enthalpy of formation.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 7

Question 24.
State and explain the Hess’s law of constant Heat summation. [Mar. ’13]
Answer:
Hess’s law states that the total amount of heat evolved or absorbed in a chemical reaction is always same whether the reaction is carried out in one step (or) in several steps.
Illustration : This means that the heat of reaction depends only on the initial and final stages and not on the intermediate stages through which the reaction is carried out. Let us consider a reaction in which A gives D. The reaction is brought out in one step and let the heat of reaction be ∆H.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 9
A → D; ∆H
Suppose the same reaction is brought out in three stages as follows :
A → B : ∆H1
B → C : ∆H2
C → D : ∆H3
The net heat of reaction is ∆H1 + ∆H2+ ∆H3.
According to Hess law ∆H = ∆H1 + ∆H2 + ∆H3.

Ex : Consider the formation of CO2. It can be prepared in two ways.
1) Direct method : By heating carbon in excess of 02.
C(s) + O2(g) → CO2(g); ∆H = – 393.5 kJ

2) Indirect method : Carbon can be converted into CO2 in the following two steps.
C(s) + \(\frac{1}{2}\)O2(g) → CO2(g); ∆H1 = – 110.5 kJ
CO (g) + \(\frac{1}{2}\) O2(g) → CO2(g); ∆H2 = – 283.02 kJ
Total ∆H = -393.52 kJ (∆H1 + ∆H2)
The two ∆H values are same.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 25.
Define and exlain the enthalpy of combustion (∆cHθ).
Answer:
Standard enthalpy of combustion is defined as the enthalpy change per mole (or per unit amount) of a substance, when it undergoes combustion and all the reactants and products being in their standard states at the specified temperature.

Cooking gas in cylinders contains mostly butane (C4 H10). During complete combustion of one mole of butane, 2658 kJ of heat is released. We can write the thermochemical reactions ofr this as :
C4 H10 (g) + \(\frac{13}{2}\) O2 (g) → 4CO2 (g) + 5H2O(1);
cHθ = -2658.0 kJ mol-1

Question 26.
Define and explain enthalpy of atomisation (∆aHθ).
Answer:

  • The heat required to dissociate 1 mole of a simple molecule in the gaseous state into its constituent atoms.
  • This is an endothermic process.
    Ex: O2(g) → 2O(g) ∆H = 489.5 KJ
    N2(g) → 2N(g) ∆H = 937.4 KJ

Question 27.
Define and explain the Bond enthalpy (∆bondHθ)
Answer:
Bond Enthalpy : The change in enthalpy when one mole of covalent bonds of a gaseous covalent compond is broken to from gaseous products is called Bond dissociation Enthalpy.
Ex : H2(g) → 2H(g) ∆H = 435.9 KJ / mole

Question 28.
What is the bond enthalpy of C-H bond of CH4 ?
Answer:
The bond dissociation enthalpy for step wise dissociation of CH4 molecule are CH.
CH4(g) → CH3(g) + H(g) ; ∆ H0 = 427.0 kJ
CH3(g) → CH2(g) + H(g) ; ∆ H0 = 418.4kJ
CH2(g) → CH(g) + H(g) ; ∆ H0 = 460.2 kJ
CH(g) → C(g) + H(g) ; ∆ H0 343.1 kJ
The enthalpy for each step is different due to the reason that in each step of dissociation different fragments of CH4 are involved.

But the average bond dissociation enthalpy is 1/4 of the total energy required to break one mole of CH4 into C(g) + 4H (g).
C-H bond dissociation Enthalpy = \(\frac{427.0+418.4+460.2+343.1}{4}\)
= \(\frac{1648.7}{4}\) = 412.2 kJ

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 29.
Define heat of solution (∆solHθ) and heat of dilution.
Answer:
i) Enthalpy of solution : Definition : The amount of heat evolved or absorbed when 1 mole of a solute is dissolved completely in large excess of solvent is called Enthalpy of solution.
(Or)
The change of enthalpy when a solution containing 1 mole of a solute is diluted from one concentration to another.
Ex : KCl (s) + aq → KCl (aq), DH = + 19.75 kJ
This is measured per mole of solute. If solvent is water then it is called enthalpy of dilution.

ii) Enthalpy of dilution : The change of enthalpy when a solution containing 1 mole of a solute is diluted from one concentration to another.
Ex : HCl (g) + aq → HCl (aq), ∆H = – 75.4 kJ

Question 30.
Define ionisation enthalpy and electron affinity.
Answer:
Ionisation Enthalpy : The enthalpy change observed by the removal of an electron from the neutral isolated gaseous atom is called ionisation enthalpy.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 10
Electron affinity : The enthalpy evolved by the addition of electron to neutral gaseous atom is called electron affinity.
X(g) + e → X(g) + EA
Observe the following spontaneous reactions
1) H2(g) + 1/2 O2(g) H2O = -285.8 kJ / mole
2) c(graphite) + 2S(g) → CS2(g) ∆ H0 = 91.91 kJ / mole
In reaction (1) ∆H = -ve, in reaction (2) ∆H = +ve
∴ The decrease in Enthalpy may be a condition but not a necessary and sufficient condition for spontaneity of a reaction.

Ionization Energy and Electron Affinity : Ionization energy and electron affinity are defined at absolute zero. At any other temperature, heat capacities for the reactants and the products have to be taken into account. Enthalpies of reactions for
M(g) → M+(g) + e (for ionization)
M(g) + e → M(g) (for electron gain) at temperature, T is
rHΘ(T) = ∆rHΘ(0) + \(\int_0^T \Delta_r C_p^{\Theta} d t\)
The value of Cp for each species in the above reaction is 5/2 R (Cv = 3/2R)
So, ∆rCpΘ = 5/2 R (for ionization)
rCpΘ = -5/2 R (for electron gain)
Therefore,
rHΘ = (Ionization enthalpy)
= E0 (ionization energy) + 5/2 RT
∆rHΘ = (electron gain enthalpy)
= -A (electron affinity) = 5/2 RT

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 31.
Explain the spontaneity of a process.
Answer:
Spontaneous reaction :
A process is said to be spontaneous if it occurs on its own without intervention of any external agency of any kind.
All natural processes are spontaneous.
Entropy increases in all spontaneous processes.
Change in entropy “(∆S) = positive” is a condition but is not necessary and sufficient condition for the spontaneous nature of a reaction.
Change in enthalpy “(∆H) = negative” may be a condition but not a necessary and sufficient condition for the spontaneous nature of a reaction.

At this juncture, “Gibbs” introduced another thermodynamic function which involves both enthalpy (H) and entropy (S) functions. This is known as free energy function (G). This is given by the equation.
G = H – TS. .’G1 is now referred as ‘Gibbs energy (or) Gibbs function.

“∆Gsys is negative” for spontaneous reactions (or) processes. Thus the spontaneity of a reaction and the algebraic signs of ∆H, ∆S, ∆G and the magnitude of T can be related as follows :
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 11

Question 32.
Is decrease in enthaply a crieterion for spontaneity ? Explain. [A.P. Mar. 16]
Answer:
Change in enthalpy “(∆H) = negative” may be a condition but not a necessary and sufficient condition for the spontaneous nature of a reaction. ;
Observe the following spontaneous reactions

  1. H2(g) + 1/2 O2(g) ⇌ H2O ∆ H0 = -285.8 kJ/mole
  2. C(graphite) + 2S(g) → CS2(g) ∆ H0 = 91.91 kJ/mole

In reaction (1) ∆H = -ve, in reaction (2) ∆H = +ve
∴ The decrease in enthalpy may be a condition but not a necessary and sufficient condition for spontaneity of reaction.

Question 33.
What is entropy ? Explain with examples.
OR
Explain “Entropy” concept.
Answer:
Entropy (S): Entropy is taken as a measure of disorder of molecules (or) randomness of the system. Greater the disorder of molecules in a system, the higher is the entropy. Entropy is a state function. It depends on the temperature, pressure of the state.
Entropy change, ∆S = \(\frac{\mathrm{q}_{\mathrm{rev}}}{\mathrm{T}}\) [qrev = heat absorbed by the system isothermally and reversibly at T]
For a spontaneous process in an isolated system the entropy change is positive.
(∆S = positive)
∆Stotal = ∆Ssystem + ∆Ssurroundings
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 12

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 34.
Is increase in entropy a criterion for spontaneity ? Explain.
Answer:
Change in entropy “(∆S) = positive” is a condition but is not necessary and sufficient condition for the spontaneous nature of a reaction.
For a spontaneous process change in entropy is positive
∆S = +ve (spontaneous)
∆S = -ve (backward reaction is spontaneous)
∆S = 0 (Equilibrium reaction)
∴ ∆H = -ve, ∆S = +ve, ∆G = -ve then the reaction
Spontaneous at all T values (Reaction is irreversible)

Question 35.
Can All and ∆S discriminate between irreversible and reversible processes ? Explain.
Answer:

  • Change in internal energy (∆U)
  • In exothermic process and internal energy lowered (Reaction is Spontaneous)
  • In case of reversible reaction the reaction favoured in the direction where there is decrease in the internal energy.

Change in entropy “(∆S) = positive” is a condition but is not necessary and sufficient condition for the spontaneous nature of a reaction.
For a spontaneous process change in entropy is positive
∆S = +ve (spontaneous)
∆S = -ve (backward reaction is spontaneous)
∆S = 0 (Equilibrium reaction)
∴ ∆H = -ve, AS = +ve, ∆G = -ve then the reaction
Spontaneous at all T values (Reaction is irreversible)

Question 36.
In which of the following processes entropy increases ?
a) A liquid evaporates to vapour.
b) Temperature of a crystalline solid lowered from 115K to OK
c) CaCO3(s) → CaO(s) + CO2(g)
d) Cl2(g) → 2Cl(g)
Answer:
a) When a liquid evaporates to vapour randomness increases in the vapour state ∆S is +ve. Hence the process is spontaneous.

b) If the temperature of the crystalline solid is lowered to OK it becomes perfectly ordered. No disorder is noticed. Hence such a process is not spontaneous.

c) CaCO3(s) → CaO(s) + CO2(g)
∆S is very slightly positive. If temp is increased ΔS becomes more positive.

d) Cl2(g) → 2Cl(g)
It is an endothermic process there is no considerable increase in entropy. The process is not spontaneous.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 37.
For the oxidation of iron
4Fe(s) + 3O2(g) → 2Fe(2)O3(s), the entropy change is -549.45JK-1 mol-1 at 298K. Though it has negative entropy change the reaction is spontaneous. Why ?
(∆rHΘ = -1648 × 103 J mol-1)
Answer:
One decides the spontaneity of a reaction by considering
∆Stotal i.e< (∆Ssys + ∆Ssurr). For calculating ∆Ssurr, we have to consider the heat absorbed by the surroundings which is equal to -∆rHΘ. At temperature T, entropy change of the surroundings is
∆Ssurr = \(\frac{\Delta_{\mathrm{r}} \mathrm{H}^\theta}{\mathrm{T}}\) (at constant pressure)
= \(-\frac{\left(-1648 \times 10^3 \mathrm{Jmol}^{-1}\right.}{298 \mathrm{~K}}\) = 5530 JK-1 mol-1
Thus, total entropy change for this reaction
rStotal = 5530 JK-1 mol-1 + (-549.4 JK-1 mol-1) = 4980.6 JK-1 mol-1
This shows that the above reaction is spontaneous.

Question 38.
Which formalae in the following are correct ?
a) G = H – TS
b) ∆Gsys = ∆Hsys = ∆Hsys – ∆Ssys
c) ∆Ssurr = \(\frac{\Delta H_{\text {sur }}}{T}=\frac{-\Delta H_{\text {sys }}}{T}\)
d) ∆Ssurr = ∆Hsys + \(\frac{-\Delta \mathrm{H}_{\text {sys }}}{T}\)
e) TASTotal = T∆Hsys – ∆Hsys
Answer:
a) Correct
b) Correct at constant temperature
c) Correct
d) Correct
e) Not correct

Question 39.
Calculate ∆rGθ for conversion of oxygen to ozone ∆rGθ=163 kJ mol-1 O2(g) → O3(g) at 298K. Kp for the \(\frac{3}{2}\) the reaction is 2.43 × 10-29
Answer:
∆G0 = -2.303 RT log Kp
= -2.303 × 8.314 × 298 × log 2.43 × 10-29
= -16300 J/mole
= 163 kJ/mole

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 40.
State the second law of thermodynamics and explain it.
Answer:
II law of thermodynamics :
Statements :

  • “It is impossible for a self acting machine unaided by any external agency to convert heat from a body at low temperature to a body at higher temperature”.
  • “All spontaneous processes are thermodynamically irreversible and entropy of the system increases in all spontaneous processes.”
  • “For any spontaneous process taking place in an isolated system, the change in entropy (∆S) is positive.”

Question 41.
State the third law of thermodynamics. What do you understand by it ?
Answer:
Third law of thermodynamics: “The entropy of a pure and perfectly crystalline substance is zero ; at .the absolute zero of a temperature (-273° C)”.
Slim T → 0 = 0
This law imposes a limitation on the value of entropy.
ST = \(\int_0^T \frac{C_p}{T} \cdot d T\)
Thus entropy (S) of a substance at any temperature is calculated if the temperature dependence of ‘Cp‘ is known in evaluating absolute entropy of any substance.
Importance of this law : One of the most important applications of third law is the calculation of entropy changes in chemical reactions.

Question 42.
Explain spontaneity of a process in terms of Gibbs energy.
Answer:
∆G = ∆H – T∆S
∆Gsys = negative for spontaneous reactions (∆G < 0)
∆Gsys = positive for non – spontaneous reactions (∆G > 0)
∆Gsys = zero for equilibrium reactions (∆G = 0)
∆G =-ve, ∆S =+ve, ∆H =-ve are the conditions for the sponaneity of reaction.

Question 43.
The sign and magnitude of Gibbs energy change of a chemical process tells about its spontaneity and useful work that could be extracted from it. Explain.
Answer:
To predict about the spontaneity of the reaction and
To redict the useful work that could be extract is the sign and magnitude of the quantities in Gibb’s equation is useful.
When a reaction is reversible it cannot proceed in both the direction with same case. In general the system would spontaneously change to configuration of lower free energy.
At equilibrium ∆G = 0
0 = ∆G° + RTLnK
rG° = -RTLnK = -2.303 RT log k
We know ∆rG° = ∆rH° – T∆rS° = -RT log k
For endothermic reaction ∆rH° may be large and positive
In such a case K is much less (K < 1)
In exothermic reactions ∆rH° is large and negative (K >1)
∴ For exothermic reaction
a) K must be large
b) ∆rG° is highly negative
c) ∆S° is highly positive
Hence with the sign and magnitude of the factors the yield of the product may be estimated.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 44.
In a process 701 J of heat is absorbed by a system and 394J of work is done by the system. What is the change in internal energy for the process ?
Answer:
q = 701 J
w = -394 J
∆U = q + w
∆U = 701 – 394
= 307 J

Question 45.
The reaction of cyanamide (s). with dioxygen was carried out in a bomb calorimeter and ∆U was found to be – 742, 7kJ mol-1 at 298K. Calculate the enthalpy change for the reaction at 298k.
NH2CN(g) + \(\frac{3}{2}\) O2(g) → N2(g) + H2O(1)
Answer:
NH2CN(g) + \(\frac{3}{2}\) O2(g) → N2(g) + H2O(1)
∆n = 2 – \(\frac{5}{2}\)
= 0.5
∆U = – 742 kJ/mol
∆H = ∆U + ∆n RT
∆H = – 742 + (-0.5) × 8.314 × 10-3 × 298
= -742.7 – 1.238
= – 743.94 kJ/mol4.

Question 46.
Calculate the number of kJ of heat necessary to rise the temperature of 60.0 g of aluminium from 35°C to 55°C. Molar heat capacity of aluminimum is 24 J mol-1 K-1.
Answer:
Given molar heat capacity of Al = 24 J/mole.k
= \(\frac{24}{27}\) J/gm. k
The heat necessary to raise the temp, of 60 g. of Al from 35°C to 55°C
= 60 × \(\frac{24}{27}\) × 55 – 35
= 60 × \(\frac{24}{27}\) × 20 = 1.067 kJ

Question 47.
Calculate the enthalpy change on freezing of 1.0 mol of water at 10.0°C to ice at 10.0°C. ∆fus H = 6.03 kJ mol-1 at 0°C.
Cp [H2 O(1)] = 75.3J mol-1 K-1
Cp [H2O(s)] = 36.8 J mol-1 K-1
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 13
Hfus = 6.03 kJ
1 mole of water taken to -10°C from 0°C
H = Cp ∆T = 36.8 × -10 = – 3685
= 0.368 kJ.
Total enthalpy = 6.03 + 0.753 – 0.368
= 6.415 kJ/mole.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 48.
Enthalpy of combustion of carbon to CO2 is – 393.5 kJ mol-1. Calculate the heat released upon formation of 35.2 g of CO2 from carbon and dioxygen gas.
Answer:
C(s) + O2(g) → CO2(g) ∆H = -393.5 kJ/mole
44gms of CO2 → -393.5 kJ
35.2 gms of CO2 → ?
\(\frac{35.2 \times 393.5}{44}\) = -314.8 kJ

Question 49.
Enthalpies of formation of CO(g), CO2(g) and N2O4(g) are – 110, -393, 81 and 9.7 kJ mol-1 respectively. Find the value of ∆rH for the reaction :
N2O4(g) + 3CO(g) → N2O(g) + 3CO2(g)
Answer:
N2O4(g) + 3CO(g) → N2O(g) + 3CO2(g)
∆HCO = -110 KJ
∆HCO2 = -393 KJ
∆HN2O = -81 KJ
∆HN2O4 = -9.7 KJ
∆H = sum of enthalpies of products – sum of enthalpies of reactants
= -1017 – (-320.3)
∆H = -696.7kJ

Question 50.
Given N2(g) + 3H2(g) → 2NH3(g); ∆rH° = – 92.4 kJ mol-1 What is the standard enthalpy of formation of NH3 gas ?
Answer:
N2(g) + 3H2(g) → 2NH3(g)
2 moles of NH3 → -92.4kJ
For 1 mole of NH3 → \(\frac{-92.4}{2}\) = -46.2
∆H°(NH3) = -46.2 KJ l mole

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 51.
Calculate the standard enthalpy of formation of CH3OH(l) from the following data :
CH3OH(l) + \(\frac{3}{2}\)O2(g) → CO3(g) + 2H3OΘ; ∆rH° = -726 kJ mol-1
C(graphite) + O2(g) → CO2(g); ∆cH° = – 393 kJ mol-1
H2(g) + O2(g) → H2O(l); ∆fH° = -286 kJ -mol-1.
Answer:
Given ∆fH° (CO2) = -393 KJ mol-1
fH° (H2O(1)) = -286 KJ mol-1
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 14
rH° = -726 KJ mol-1
rH°= ∆H°total total of the products – ∆H°total total of the reactants
-726 = [-393 + 2 (-286)] – [∆fH° CH3OH].
rH° (CH3OH) = 726 + [-393 + 2(-286)] KJ mol-1
= – 239 KJ mol-1

Question 52.
Calculate the enthalpy change for the process
CCl4(g) → C(g) + 4 Cl(g)
and calculate bond enthalpy of C – Cl in CCl4(g).
vap H°(CCl4) = 30.5 kJ mol-1.
fH°(CCl4) = – 135.5 kJ mol-1.
aH° (C) = 715.0 kJ mol-1, where ∆aH° is enthalpy of atomisation
aH° (Cl2) = 242 kJ mol-1
Answer:
CCl4(1) → CCl4(g) → C(g) + 4Cl(g)
vap H°(CCl4) = 30.5 kJ mol-1.
fH°(CCl4) = – 135.5 kJ mol-1.
∆H°(C) = 715.0 kJ mol-1
rH° (Cl2) = 242 kJ mol-1
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 15
rH° = 715 + 484 + 135.5 – 30.5
rH° = 1334.5 – 30.5 KJ mol-1 = 1304 KJ
C – Cl bond enthalpy = \(\frac{1304}{4}\) = 326 KJ mol-1

Question 53.
For an isolated system, ∆U = 0, what will be ∆S ?
Answer:
Given an Isolated system
For isolated system ∆U = 0
∴ ∆H = ∆U + ∆nRT
∆H = ∆nRT
∆H = \(\frac{\Delta \mathrm{H}}{\mathrm{T}}=\frac{\Delta \mathrm{nRT}}{\mathrm{T}}\)
∴ ∆S > 0 ∆S = + ve

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 54.
For the reaction at 298 K.
2A + B → C
∆H = 400 kJ mol-1 and ∆S = 0.2 kJ K-1 mol-1
At what temperature will be reaction become spontaneous considering ∆H and ∆S to be constant over the temperature range.
Answer:
Formula ∆S = \(\frac{\Delta \mathrm{H}}{\mathrm{T}}\)
T = \(\frac{\Delta \mathrm{H}}{\Delta \mathrm{S}}=\frac{400}{0.2}\) = 2000K

Question 55.
For the reaction, 2 Cl(g) → Cl2(g), what are the signs of ∆H and ∆S ?
Answer:
2 Cl(g) → Cl2(g)
Here in the above reaction chlorine atoms (reactive)
Converted into stable Cl2 molecule It is an exothermic reaction
∆H = – ve, ∆S = + ve

Question 56.
For the reaction 2 A(g) + B(g) → 2D(g)
∆U° = – 10.5 kJ and ∆S° = – 44.1 JK-1.
Calculate ∆G° for the reaction and predict whether the reaction can occur spontaneously or not.
Answer:
2A(g) + B(g) → 2D(g)
ng = 2 – 3 = -1
∆H = ∆v + ng RT
∆H = – 10.5 + (-1) × \(\frac{8.314}{10^3}\) × 298
– 10.5 – 2.477 = – 12.977 KJ mol-1
∆S = -44.1 JK-1
∆G° = ∆H – T∆S
∆G° = – 12.977 – 298 (-44.1)
= – 12977 + 13141.8 = 1648 J or + 0.1648 J
∴ ∆G° is +ve the reaction is non spontaneous.

Question 57.
The equilibrium constant for a reaction is 10. What will be the value of ∆G° ? R = 8.314 JK-1 mol-1, T = 300 K.
Answer:
Formula ∆G° = – RT lnk
∆G° = – 2.303 RT log k
∆G° = – 2.303 × 8.314 × 300 × log 10
= – 5744 J/mole
∆G° = -5.744 KJ/mole

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 58.
State the first law of thermodynamics. Explain its mathematical notation.
Answer:
First law of thermodynamics :
The law of conservation of energy is taken as the first law of thermodynamics.
Statements :

  1. “Energy can neither be created nor destroyed, although it can be transformed from one form to another”.
  2. “It is impossible to construct a perpetual motion machine of first kind (which produce work without consuming energy)”.
  3. “The total energy of the system and surroundings is constant”.

Mathematical form :
Let a system in state “A”, of internal energy EA absorb from the surroundings acertain amount of heat (Q) and undergo a change in its state to B. Let the internal energy in the state B is EB. If W is the work done by the system in the process, the increase in internal energy ∆E of the system is given by the equation, ∆E = EB – EA
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 16
From first law, net gain of energy (Q – W) must be equal to ∆E
∆E = (EB – EA) = (Q – W)
(or) Q = ∆E + W For infinitesimally small changes
∴ q = increase in internal energy + energy used in doing work.
Above equation is mathematical form of I law of thermodynamics.

Question 59.
State the 2nd law of thermodynamics in any two ways.
Answer:
II law of thermodynamics :
Statements :

  1. “It is impossible for a self acting machine unaided by any external agency to convert heat from a body at low temperature to a body at higher temperature”.
  2. “All spontaneous processes are thermodynamically irreversible and entropy of the system increases in all spontaneous processes.”
  3. “For any spontaneous pirocess taking place in an isolated system, the change in entropy (∆S) is positive.”

Question 60.
Explain Gibbs energy.
Answer:
Gibbs energy (∆G) : The amount of energy available from a system which can be put to useful work at constant temperature and pressure is called Gibb’s energy. For explaining the criteria for spontaneity of a reaction, Gibb’s introduced thermodynamic function which involved both enthalpy (H) and entropy (S) functions. This is known as free energy function (G). This is given by the equation,
G = H – TS
Where ‘G’ is known as Gibbs energy (or) Gibbs function.
∆G = ∆H – T ∆S
∆Gsys = negative for spontaneous reactions (∆G < 0)
∆Gsys = positive for non – spontaneous reactions (∆G >0)
∆Gsys = zero equilibrium reactions (∆G = 0)

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 61.
Explain the sponteneity of a reaction interms of Gibbs energy.
Answer:
To predict about the spontaneity of the reaction and
To redict the useful work that could be extract is the sign and magnitude of the quantities in Gibb’s equation is useful.

When a reaction is reversible it cannot proceed in both the direction with same case. In general the system would spontaneously change to configuration of lower free energy.
At equilibrium ∆G = 0
0 = ∆G° + RTLnK
rG° = -RTLnK = -2.303 RT log k
We know ∆rG° = ∆rH° – T∆rS° = -RT log k
For endothermic reaction ∆rH° may be large and positive
In such a case K is much less (K < 1)
In exothermic reactions ∆rH° is large and negative (K >1)
∴ For exothermic reaction
a) K must be large
b) ∆rG° is highly negative
c) ∆S° is highly positive
Hence with the sign and magnitude of the factors the yield of the product my be estimated.
∆Gsys = negative for spontaneous reactions (∆G < 0)
∆Gsys = positive for non – spontaneous reactions (∆G > 0)
∆Gsys = zero equilibrium reactions (∆G = 0)

Long Answer Questions

Question 1.
State and explain Hess’s Law of constant heat summation. Give example.
Answer:
Hess’s Law : Hess’s law states that the total amount of heat evolved or absorbed in a chemical reaction is always same whether the reaction is carried out in one step (or) in several steps. Illustration : This means that the heat of reaction depends only on the initial and final stages and not on the intermediate stages through which the reaction is carried out. Let us consider a reaction in which A gives D. The reaction is brought out in one step and let the heat of reaction be ∆H.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 17
A → D; ∆H
Suppose the same reaction is brought out in three stages as follows –
A → B : ∆H1
B → C : ∆H2
C → D : ∆H3
The net heat of reaction is ∆H1 +∆H2+∆H3.
According to Hess law ∆H = ∆H1 + ∆H2 + ∆H3.
Ex : Consider the formation of CO2. It can be prepared in two ways.
1) Direct method : By heating carbon in excess of O2.
C(s) + O2(g) → CO2(g); ∆H = – 393.5 kJ
2) Indirect method : Carbon can be converted into C02 in the following two steps.
C(s) + \(\frac{1}{2}\)O2(g) → CO2(g); ∆H1 = – 110.5 kJ
CO (g) + \(\frac{1}{2}\) O2(g) → CO2(g); ∆H2 = – 283.02 kJ
Total ∆H = -393.52 kJ
The two ∆H values are same.

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 2.
Explain the experiment to determine the internal energy change of a chemical reaction.
Answer:
Internal energy (U): “The total energy stored in the substance at constant temperature and pressure is called its internal energy (U)”.
It is state function and is an extensive property.
Internal energy change (∆U) is considered as the difference the internal energies of products and reactants.
∆U = (Up – Uf)
In any path taken (Q – W) is equal to ∆U.
Where Q = heat and W = work.

  • The technique of measuring heats of reactions is called calorimetres. The apparatus used is calorimeter.
  • Calorimeter is a vessel properly insulated and contains water as the calorimetric liquids
  • A combustioble substance is burnt in oxygen.
  • Heat evolved during the reaction is measured from the rise in 5 temperature.
  • Here there is no worke done as ∆V = 0
  • By the raise of temperature of water bath and calorimeter the amount of heat evolved can be determined.
    AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 18
    Internal Enegy All = Q. ∆t × \(\frac{\mathrm{M}}{\mathrm{m}}\)
    Q = heat capacity
    ∆t = t2 – t1
    M = molar mass of substance
    m = mass of the substance

Question 3.
Explain the experiment to determine the enthalpy change of chemical reaction.
Answer:
Enthalpy (H) : “Enthalpy is the amount of heat exchanged by a system with its surroundings at constant pressure and temperature”.
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 19
Mathematically, change in enthalpy ∆H = ∆E. P∆V
Enthalpy is state function. Thus, the magnitude of enthalpy change depends only upon the enthalpies in the initial and final states.
∆H = [Hproducts – Hreactants]
Heat change at constant pressure can be measured in a calorimeter at constant pressure ∆H = qp
∴ For Exothermic reaction ∆H = -ve
For Endothermic reaction ∆H = +ve

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 4.
Explain the spontaneity of a reaction interms of enthalpy change, entropy change and Gibb’s energy change.
Answer:
Spontaneous reaction :
A process is said to be spontaneous if it occurs on its own without intervention of any external agency of any kind.
All natural processes are spontaneous.
Entropy increases in all spontaneous processes.
Change in entropy “(∆S) = positive” is a condition but is not necessary and sufficient condition for the spontaneous nature of a reaction.
Change in enthalpy “(∆H) = negative” may be a condition but not a necessary and sufficient condition for the spontaneous nature of a reaction.
At this juncture, “Gibbs” introduced another thermodynamic function which involves both enthalpy (H) and entropy (S) functions. This is known as free energy function (G). This is given by the equation, G = H – TS. ‘G’ is now referred as ‘Gibbs energy (or) Gibbs function.
“∆Gsys is negative” for spontaneous reactions (or) processes. Thus the spontaneity of a reaction and the algebraic signs of ∆H, ∆S, ∆G and the magnitude of ‘T’ can be related as follows :
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 20
Change in entropy “(∆S) = positive” is a condition but is not necessary and sufficient condition for the spontaneous nature of a reaction.
For a spontaneous process change in entropy is- positive
∆S = +ve (spontaneous)
∆S = -ve (backward reaction is spontaneous)
∆S = 0 (Equilibrium reaction)
∴ ∆H = -ve, ∆S = +ve, ∆G = -ve then the reaction
Spontaneous at all T values (Reaction is irreversible)

Solved Problems

Question 1.
Express the change in internal energy of a system when

  1. No heat is absorbed by the system from the surroundings, but work (w) is done on the system. What type of wall does the system have?
  2. No work is done on the system, but q amount of heat is taken out from the system and given to the surroundings. What type of wall does the system have?
  3. w amount of work is done by the system and q amount of heat is supplied to the system. What type of system would it be?

Solution:

  1. ∆U = wad wall is adiabatic
  2. ∆U = -q, thermally conducting walls
  3. ∆U = -q – w, closed system.

Question 2.
Two litres of an ideal gas at a pressure of 10 atm expand isothermally into a vacuum until its total volume is 10 litres. How much heat is absorbed and how much work is done in the expansion ?
Solution:
We have q = – w = pex (10 – 2) = 0(8) = 0
No work is done; no heat is absorbed.

Question 3.
Consider the same expansion, but this time against a constant external pressure of 1 atm.
Solution:
We have q = – w = pex (8) = (8) = 8 litre-atm

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 4.
Consider the same expansion, to a final volume of 10 litres conducted reversibly.
Solution:
We have q = – w = 2.303 × 20 log \(\frac{10}{2}\)
= 32.2 litre-atm

Question 5.
If water vapour is assumed to be a perfect gas, molar enthalpy change for vapourisation of 1 mol of water at 1 bar and 100°C is 41 kJ mol-1. Calculate the internal energy change, when
i) 1 mol of water is vaporised at 1 bar pressure and 100°C.
ii) 1 mol of water is converted into ice.
Solution:
i) The change H2O (l) → H2O (g)
∆H = ∆U + ∆ngRT
or ∆U = ∆H – ∆ngRT, substituting the values, we get
∆U = 41.00 kJ mol-1 -1 × 8.3 J mol-1 K-1× 8.3 J mol-1 K-1 × 3731 |K|
= 41.00 kJ mol-1– 3.096 kJ mol-1
= 37.904 kJ mol-1

ii) The change H2O (l) → H2O (s)
There is negligible change in volume,
So, we can put p∆V = ∆ngRT ≈ 0 in this case,
∆H ≅ ∆U
so, ∆U = 41.00 kJ mol-1

Question 6.
1g of graphite is burnt in a bomb calorimeter in excess of oxygen at 298 K and 1 atmospheric pressure according to the equation
C (graphite) + O2 (g) → CO2 (g)
During the reaction, temperature rises from 298 K to 299 K. If the heat capacity of the bomb calorimeter is 20.7 kJ / K, what is the enthalpy change for the above reaction at 298 K and 1 atm ?
Solution:
Suppose q is the quantity of heat from the reaction mixture and Cv is the heat capacity of the calorimeter, then the quantity of heat absorbed by the calorimeter.
q = Cv × ∆T
Quantity of heat from the reaction will have the same magnitude but opposite sign because the heat lost by the system (reaction mixture) is equal to the heat gained by the calorimeter.
q = -Cv × ∆T = -20.7 kJ/K × (299 – 298)K
= -20.7 kJ
(Here, negative sign indicates the exothermic nature of the reaction)
Thus, ∆U for the combustion of the 1g of graphite = -20.7 kJ
For combustion of 1 mol of graphite,
= \(\frac{12.0 \mathrm{~g} \mathrm{~mol}^{-1} \times(-20.7 \mathrm{~kJ})}{1 \mathrm{~g}}\)
= -2.48 × 102 kJmol-1, Since ∆ng = 0,
∆ H = ∆ U = -2.48 × 102kJ mol-1

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 7.
A swimmer coming out from a pool is covered with a film of water weighing about 18g. How much heat must be supplied to evaporate this water at 298 K ? Calculate the internal energy of vaporisation at 100°C.
vapH° for water at 373k = 40.66 kJ mol-1
Solution:
We can represent the process of evaporation as
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 21

Question 8.
The combustion of one mole of benzene takes place at 298 K and 1 atm. After combustion, CO2(g) and H2O (l) are produced and 3267.0 kJ of heat is liberated. Calculate the standard enthalpy of formation. ∆f H° of benzene. Standard enthalpies of formation of CO2(g) and H2O(l) are -393.5 kJ mol-1 and -285.83 kJ mol-1respectively.
Solution:
The formation reaction of benezene is given by:
6C (graphite) + 3H2 (g) → C6H6 (l);
fH° = ? ………………… (i)
The enthalpy of combustion of I mol of benzene is :
C6H6 (l) + \(\frac{15}{2}\) O2 (g) → 6CO2 (g) + 3H2O(l);
cH° =-3267 kJ mol-1 …………… (ii)
The enthalpy of formation of 1 mol of CO2 (g):
C(graphite) + O2 (g) → CO2 (g);
f H° = -393.5 kJ mol-1 ………………. (iii)
The enthalpy of formation of 1 mol of H2O(l) is:
H2 (g) + \(\frac{1}{2}\) O2 (g) → H2O(l) .
fH° = -285.83 kJ mol-1 ………………….. (iv)
Multiplying eqn. (iii) by 6 and eqn. (iv) by 3 we get:
6C (graphite) + 6O2 (g) → 6CO2 (g);
fH° = – 2361 kJ mol-1
3H2 (g) + \(\frac{3}{2}\) O2 (g) → 3H2O(l) .
fH° = – 857.49 kJ mol-1
Summing up the above two equations :
6C(graphite) + 3H2 (g) + \(\frac{15}{2}\) O2 (g) → 6CO2 (g) + 3H2O(l)
fH° = -3218.49 kJ mol-1 ………………. (v)
Reversing equation (ii);
6CO2 (g) + 3H2O(l) → C6H6 (l) + \(\frac{15}{2}\) O2
fH° = – 3267.0 kJ mol-1 ………………….. (vi)
adding equations (v) and (vi), we get
6C(graphite) + 3H2 (g) → C6H6 (l);
fH° = 48.51 kJ mol-1

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 9.
Predict in which of the following, entropy increases/decreases :
i) A liquid crystallizes into a solid.
ii) Temperature of a crystalline solid is raised from 0 K to 115 K.
iii) 2NaHCO3 (s) → Na2 CO3 (s) + CO2 (g) + H2 O (g)
iv) H2 (g) → 2H(g)
Solution:
i) After freezing, the molecules attain an ordered state and therefore, entropy decreases.

ii) At 0 K, the contituent particles are static and entropy is minimum. If temperature is raised to 115 K, these begin to move and oscillate about their equilibrium positions in the lattice and system becomes more disordered, therefore entropy increases.

iii) Reactant, NaHCO3 is a solid and it has low entropy. Among products there are one solid and two gases. Therefore, the products represent a condition of higher entropy.

iv) Here one molecule gives two atoms i.e., number of particles increases leading to more disordered state. Two moles of H atoms have higher entropy than one mole of dihydrogen molecule.

Question 10.
For oxidation of iron,
4Fe(s) + 3O2 (g) → 2Fe2 O3 (s) entropy change is – 549.4 JK-1 mol-1 at 298 K. Inspite of negative entropy change of this reaction, why is the reaction spontaneous ?
(∆fH° for this reaction is -1648 × 103 J mol-1)
Solution:
One decides the spontaneity of a reaction by considering.
∆Stotal i.e., (∆Ssys + ∆Ssurr)- For calculating ∆Ssurr. we have to consider the heat absorbed by the surroundings which is equal to – ∆r ,H°. At temperature T, entropy change of the surroundings is ∆Ssurr = – \(\frac{\Delta_{\mathrm{r}} \mathrm{H}^{\circ}}{\mathrm{T}}\) (at constant pressure)
= –\(\frac{\left(-1648 \times 10^3 \mathrm{~J} \mathrm{~mol}^{-1}\right)}{298 \mathrm{~K}}\)
= 5530 JK-1 mol-1
Thus, total entropy change for this reaction.
rStotal = 5530 JK-1 mol-1 + (-549.4JK-1 mol-1)
= 4980.6 JK-1 mol-1
This shows that the above reaction is spontaneous.

Question 11.
Calculate ∆rG° for conversion of oxygen to ozone, 3/2 O2(g) → O3(g) at 298 K. if Kp for this conversion is 2.47 × 10-29.
Solution:
We know ∆rG° = – 2.303 RT log Kp and
R = 8.314 JK-1 mol-1
Therefore, ∆rG° = – 2.303 (8.314 J K-1 mol-1) × (298 K) (log 2.47 × 10-29)
= 163000 J mol-1
= 163 kJ mol-1

AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics

Question 12.
Find out the value of equilibrium constant for the following reaction at 298 K.
2NH3 (g) + CO2 (g) ⇌ NH2 CONH2 (aq) + H2O(l)
Standard Gibbs energy change, ∆rG° at the given temperature is – 13.6 kJ mol-1.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 6 Thermodynamics 22

Question 13.
At 60°C, dinitrogen tetroxide is fifty percent dissociated. Calculate the standard free energy change at this temperature and at one atmosphere.
Solution:
N2O4(g) ⇌ 2NO2(g)
If N2O4 is 50% dissociated, the mole fraction of both the substances is given by
xN2O4 = \(\frac{1-0.5}{1+0.5}\) ; xNO2 = \(\frac{2 \times 0.5}{1+0.5}\)
PN2O4 = \(\frac{0.5}{1.5}\) × 1 atm, PNO2 = \(\frac{1}{1.5}\) × 1 atm.
The equilibrium constant Kp is given by
Kp = \(\frac{\left(\mathrm{p}_{\mathrm{NO}_2}\right)^2}{\mathrm{p}_{\mathrm{N}_2 \mathrm{O}_4}}=\frac{1.5}{(1.5)^2(0.5)}\)
= 1.33 atm.
Since
rG° = – RT l n Kp
rG° = (-8.314 JK-1 mol-1) × (333 K) × (2.303) × (0.1239)
= – 763.8 kJ mol-1

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Andhra Pradesh BIEAP AP Inter 1st Year Chemistry Study Material 5th Lesson Stoichiometry Textbook Questions and Answers.

AP Inter 1st Year Chemistry Study Material 5th Lesson Stoichiometry

Very Short Answer Questions

Question 1.
How many number of moles of glucose are present in 540 gms of glucose?
Answer:
Formulae:
No. of moles = \(\frac{\text { Weight }}{\text { G.M. Wt }}\)
= \(\frac{540}{180}\)
= 3
Given
Weight of glucose = 540 gms
G.M. wt = 180 (C6H12O6)
No. of moles of glucose in 540 gms = 3 moles.

Question 2.
Calculate the weight of 0.1 mole of sodium carbonate.
Answer:
Formulae:
No. of moles = \(\frac{\text { Weight }}{\mathrm{GMWt}}\), 0.1 = \(\frac{\text { Weight }}{106}\)
Weight = 10.6 × 0.1 = 10.6 gms
Given
No. of moles = 0.1
G.M. Wt of Na2CO3 = 106

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 3.
How many molecules of glucose are present in 5.23g of glucose (Molecular weight of glucose 180 u).
Answer:
Formulae:
No. of molecules = No. of moles × Avagadro no
No. of moles = \(\frac{\text { Weight }}{\text { GM Wt }}\) = \(\frac{5.23}{180}\) = 0.02906 moles
No. of molecules = 0.02906 × 6.023 × 1023
= 1.75 × 1022 molecules
Given
Wt of glucose = 5.23 gms
G.M. Wt = 180

Question 4.
Calculate the number of molecules present in 1.12 × 10-7 c.c. of a gas at STP (c.c. cubic centimeters = cm3).
Answer:
1 mole of any gas occupies 22400 cc of volume
1 mole of any gas contains 6.023 × 1023 molecules
∴ 22400 cc of gas at STP contains 6.023 × 1023 molecules
1.12 × 10-7 cc of a gas at STP contains ——–?
\(\frac{1.12 \times 10^{-7} \times 6.023 \times 10^{23}}{22400}\) = 3.015 × 1012 molecules

Question 5.
The empirical formula of a compound is CH2O. Its molecular weight is 90. Calculate the molecular formula of the compound. (A.P. Mar. ‘16) (Mar. 13)
Answer:
Formulae:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 1
∴ Molecular formula = 3(CH2O) = Cr (NO3)3(aq) + Pb(s).
Given
Molecular wt = 90
Emperical formula = CH3O
∴ Emperical wt = 30

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 6.
Balance the following equation by the oxidation number method
Cr(S) + Pb(NO3)2(aq) → Cr (NO3)3(aq) + Pb(s).
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 2
So the balanced equation is 2Cr + 3Pb(NO3)2 → 2Cr(NO3)3 + 3Pb

Question 7.
What volume of H2 at STP is required to reduce 0.795 g of CuO to give Cu and H2O.
Answer:
Balance equation is
CuO + H2 → Cu + H2O
79.5 gms → 1 mole H2 gas for reduction → 22.4 lit of volume at STP
∴ 79.5 gms of CuO require 22.4 lit of H2 at STP
Then 0.795 gms of CuO require ——-?
\(\frac{0.795 \times 22.4}{79.5}\) = 0.224 lit.

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 8.
Calculate the volume of O2 at STP required to completely burn 100 ml of acetylene.
Answer:
Balanced chemical equation for combustion of acetylene is
2C2H2 + 5O2 → 4CO2 + 2H2O
2 moles of C2H2 require 5 moles of O2 for complete combustion at STP
2 × 22400 ml of C2H2 require 5 × 22400 ml of O2 at STP
Then 100 ml of C2H2 require ————?
\(\frac{100 \times 5 \times 22400}{2 \times 22400}\) = \(\frac{500}{2}\) = 250 ml

Question 9.
Now-a-days it is thought that oxidation is simply decrease in electron density and reduction is increase in electron density. How would you justify this?
Answer:
Oxidation : The process of removing electrons from an element is called oxidation. It is also called
as de-electronation.

  • Oxidation means decrease in electron density
    e.g. : 2Cl → Cl2 + 2\(e^{\ominus}\)
  • Oxidation process occurs at anode in the electrolysis process.
  • Reduction : The process of addition of electrons to an element is called reduction. It is also called as electronation.
  • Reduction means increase in electron density.
    e.g.: Mg2+ + 2e → Mg
  • Reduction process occurs of cathode in the electrolysis process.

Question 10.
What is a redox concept? Give an example.
Answer:
Redox reactions are the reactions in which reduction and oxidation both takes place.
e.g.:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 3

Question 11.
Calculate the mass per cent of the different elements present in sodium sulphate (Na2SO4).
Answer:
Given compound is sodium sulphate (Na2SO4)
Molecular weight of the compound = 2(23) + 1(32) + 4(16)
= 46 + 32 + 64
= 142

Step – I:
Mass percent of Na
142 gms of Na2SO4 → 46 gms of Na
100 gms of Na2SO4 → ?
\(\frac{100 \times 46}{142}\) = 32.39%

Step – II:
Mass percent of ‘S’
142 gms of Na2SO4 → 32 gms of ‘S’
100 gms of Na2SO4 → ?
\(\frac{100 \times 32}{142}\) = 22.53%

Step-III:
Mass percent of ‘0’
142 gms of Na2SO4 → 64 gms of oxygen
100 gms of Na2SO4 → ?
\(\frac{100 \times 64}{142}\) = 45.07%
∴ Mass percents of Na, S, O are 32.39, 22.53, 45.07.

Question 12.
What do you mean by significant figures?
Answer:
The meaningful digits which are known with certainty are called significant figures.

  • The uncertainty in the experimental (or) calculated values is indicated by mentioning the number of significant figures.

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 13.
If the speed of light is 3.0 × 108 ms-1. Calculate the distance covered by light in 2.00 ns.
Answer:
Given the speed of light 3 × 108 m/sec.
i.e., 1 sec → 3 × 108 m
In 2 nano seconds → ?
2 × 10-9 sec
\(\frac{2 \times 10^{-9} \times 3 \times 10^8}{1}\) = 6 × 10-1 = 0.6 m

Short Answer Questions

Question 1.
The approximate production of sodium carbonate per month is 424 × 108 g, while that of methyl alcohol is 320 × 106 g. Which is produced more in terms of moles?
Answer:
Given that weight of Na2CO3 produced per month = 424 × 106 gms
No. of moles of Na2CO3 = \(\frac{w t}{\text { GMwt }}\) = \(\frac{424 \times 10^6}{106}\) = 4 × 106 moles per month
Given weight of CH3OH produced per month = 320 × 106 gms
No. of moles of CH3OH = = \(\frac{320 \times 10^6}{32}\) = 107 moles per month
Methyl Alcohol is produced more (per month) in terms of moles.

Question 2.
How much minimum volume of CO at STP is needed to react completely with 0.112 L of O2 at 1.5 atm pressure and 127°C to give CO2.
Answer:
Formula \(\frac{P_1 V_1}{T_1}\) = \(\frac{P_2 V_2}{T_2}\)
At STP
P1 = 1 atm
V1 = ?
T1 = 0°C = 273 K
Given P2 = 1.5 at m
V2 = 0.112 lit
T2 = 127°C = 400 K
\(\frac{1 \times V_1}{273}\) = \(\frac{1.5 \times 0.112}{400}\)
V1 = \(\frac{1.5 \times 0.112 \times 273}{400}\)
= 0.1147 lit
Chemical equation
2CO + O2 → 2CO2
2 moles of CO → 1 mole of O2 at STP
2 × 22.4 lit → 1 × 22.4 lit
? ← 0.1147 lit
\(\frac{0.1147 \times 2 \times 22.4}{22.4}\) = 0.2294 lit
The volume of CO required at STP = 0.2294 lit = 229.4 ml

Question 3.
Chemical analysis of a carbon compound gave the following percentage composition by weight of the elements present, carbon = 10.06%, hydrogen = 0.84%. chlorine = 89.10%. Calculate the empirical formula of the compound.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 4
∴ Emperical formula of given compound = C1H1Cl3
= CHCl3

Question 4.
A carbon compound on analysis gave the following percentage composition, carbon 14.5%, hydrogen 1.8%, chlorine 64.46%, oxygen 19.24%. Calculate the empirical formula of the compound.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 5
∴ The formula of the compound = C1 H1.5 Cl1.5 O1
Emperical formula of the compound = C2 H3 Cl3 O2

Question 5.
Calculate the empirical formula of a compound having percentage composition : Potassium (K) = 26.57, chromium (Cr) = 35.36; oxygen (0) 38.07. (Given the atomic weights of K. Cr and O as 39; 52 and 16 respectively).
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 6
Formula of the compound = K1 Cr1 O3.5
Emperical formula of the compound = K2 Cr2 O7

Question 6.
A carbon compound contains 12.8% carbon, 2.1% hydrogen, 85.1% bromine. The molecular weight of the compound is 187.9. Calculate the molecular formula.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 7
∴ Emperical formula of the compound = C1 H2 Br
Molecular formula = n (Emperical formula)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 8
Given molecular wt = 187.9
Emperical wt = 94 (CH2 Br)
∴ Molecular formula = 2 (CH2Br)
= C2H4Br2

Question 7.
0.188 g of an organic compound having an empirical formula CH2Br displaced 24.2 cc. of air at 14 °C and 752 mm pressure. Calculate the molecular formula of the compound. (Aqueous tension at 14°C is 12mm).
Answer:
Given Emperical formula CH2Br
Wt. of compound = 0.188 gms
Volume of displaced air = 24.2 CC
Temperature = 14°C = 287 K
Pressure = 752 mm.
STP conditions
P1 = 760 mm
v1 = ?
T1 = 273 K
Given conditions
P2 = Pressure – aqueous tension
= 752 – 12mm = 740 mm
V2 = 24.2K
T2 = 287 K

Formula

\(\frac{P_1 V_1}{T_1}\) = \(\frac{P_2 V_2}{T_2}\) ⇒ \(\frac{760 \times V_1}{273}\) = \(\frac{740 \times 24.2}{287}\)
V1 = \(\frac{740 \times 24.2}{287} \times \frac{273}{760}\) = 22.414ml (or) 22.414 CC

∴ 0.188 gms of organic compound displaced 22.414 CC of air gms of organic compound displaced 22400 CC of air
\(\frac{22400}{22.414} \times 0.188\) = 188 ∴ Gram molecular wt of compound = 188
Molecular formula = n (Emperical formula)
= n (CH2Br)
n = \(\frac{\text { Molecular wt }}{\text { Emperical wt }}\) = \(\frac{188}{94}\) = 2 ∴ Molecular formula = C2 H4 Br2

Question 8.
Calculate the amount of 90% H2S04 required for the preparation of 420 kg HCl.
2 NaCl + H2SO4 → Na2SO4 + 2 HCl
Answer:
Given equation is
2NaCl + H2SO4 → 4 Na2SO4 + 2HCl
1 Mole H2SO4 → 2 Moles HCl
98 gms of H2SO4 → 2 × 36.5 = 73 gms of HCl
? → 420 × 103 gms of HCl
\(\frac{420 \times 10^3 \times 98}{73}\) = 563.84 × 103 gms
For 100% H2SO4 → 563.84 × 103
For 90% H2SO4 → 563.84 × 103 × \(\frac{100}{90}\)
= 626.5 × 103 gms of H2SO4
∴ 626.5 × 103 gms of 90% H2SO4 is required to produce 420 × 103 gms of HCl

Question 9.
An astronaut receives the energy required in his body by the combustion of 34g of sucrose per hour. How much oxygen he has to carry along with him for his energy requirement in a day ?
Answer:
Given sucrose quantity required per hour = 34 gms
Sucrose quantity required per a day = 34 × 24 gms
Chemical equation of combustion of sucrose
C12 H22 O11 + 12O2 → 12CO2 + 11 H2O + Energy
1 mole sucrose → 12 moles of Oxygen
342 gms of sucrose → 12 × 32 gms of oxygen
34 × 24 gs of sucrose → ?
\(\frac{34 \times 24}{342}\) × 12 × 32 = 916.21 gms
∴ The astronaut require 916.21 gms of Oxygen per a day

Question 10.
What volume of CO2 is obtained at STP by heating 4g of CaCO3 ?
Answer:
Chemical Equation is
CaCO3 AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 9 CaO + CO2
1 mole CaCO3 → 1 mole CO2 at STP
100 gms of CaCO3 → 22.4 lit of CO2 at STP
4gms of CaCO3 → ?
\(\frac{4 \times 22.4}{100}\) = 0.896 lit

Question 11.
When 50g of a sample of sulphur was burnt in air 4% of the sample was left over. Calculate the volume of air required at STP containing 21% oxygen by volume.
Answer:
Given that when a 50 gms of sample of sulphur was burnt 4% of the sample was left over.
∴ 50 gms of S → 48 gms of ‘S’ burnt.
Chemical equation is S + O2 → SO2
32 gm of ‘S’ 22.4 lit of O2 at STP
48 gms of S →
100 ml air contains 21 ml of oxygen
100 lit of air contains 21 lit of oxygen
33.6 lit of oxygen is present in \(\frac{33.6 \times 100}{21}\) = 160 lit
∴ The volume of air needed for combustion = 160 lit

Question 12.
Calculate the volume of oxygen gas required at STP conditions for the complete combustion of 10 cc of methane gas at 20°C and 770 mm pressure.
Answer:
Given 10 cc of methane (CH4) undergoes combustion at 20°C and 770 mm pressure
STP Conditions
P1 = 760 mm
V1 = ?
T1 = 273 k
Given conditions
P2 = 770 mm
V2 = 10 cc
T2 = 20°C = 293 k

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Formulae
\(\frac{P_1 V_1}{T_1}\) = \(\frac{\mathrm{P}_2 \mathrm{~V}_2}{\mathrm{~T}_2}\)
\(\frac{760 \times V_1}{273}\) = \(\frac{770 \times 10}{293}\)
V1 = \(\frac{770 \times 10 \times 273}{293 \times 760}\) = 9.44 cc ∴ Volume of methane (CH4) at STP = 9.44 cc.

Chemical equation is
CH4 + 2O2 → CO2 + 2H2O
1 mole CH4 → 2 moles of oxygen
22,400 cc of CH4 → 2 × 22400 cc of oxygen
9.44 cc of CH4 → ?
\(\frac{9.44}{22400}\) × 2 × 22400 = 18.88 cc ∴ Volume of oxygen gas required STP = 18.88 cc.

Question 13.
Calculate the volume of H2 liberated at 27°C and 760 mm of Hg pressure by action by 0.6g of magnesium with excess of dil HCl.
Answer:
Chemical equation is
Mg + 2HCl → MgCl2 +H2
24 gms. of Mg → 1 mole of H2 at STP
= 22.4 lit at STP
0.6 gms. of Mg → ?
\(\frac{0.6 \times 22.4}{24}\) = 0.56 lit = 560 ml

Formula
\(\frac{P_1 V_1}{T_1}\) = \(\frac{P_2 V_2}{T_2}\)
\(\frac{760 \times V_1}{300}\) = \(\frac{760 \times 560}{273}\)
V1 = \(\frac{560 \times 300}{273}\) = 615.4 ml
∴ volume of H2 liberated at 27°C and 760 mm of presence = 615.4 ml = 0.6154 Lit.

Given conditions
P1 = 760 mm
V1 = ?
T1 = 27° mm

STP conditions
P2 = 760 mm
V2 = 560 ml
T2 = 0° C = 273 k

Question 14.
Explain the role of redox reactions in titrimetre processes and galvanic cells.
Answer:
a) Redox reactions in titrimetric quantitative analysis : In titrimetric analysis the substance of known concentration is called the titrant and the substance being titrated is called the titrand. The standard solution is generally added from a long graduated tube called burette. The process of adding the standard solution until the reaction is just complete is called titration. The substance to be estimated is titrated. The point at which the titrand just completely reacts is called the equivalence point (or) the theoretical point (or) stoichiometric end point. In the redox reactions the completion of the titration is detected by a suitable method like

  1. Observing a physical change, for example, the light pink colour of KMnO4 titrations.
  2. By using a reagent known as indicator which gives a clear visual change like colour change, formation of turbidity etc. The point at wh’ch this is observed is called the end point of the titration which should coincide with theoretical end point.

Examples:

  1. In Cr2\(\mathrm{O}_7^{2-}\) titrations dippenyl amine is used as indicator and at the end poirtt it produces intense blue colour due to oxidation by Cr2\(\mathrm{O}_7^{2-}\).
  2. In the titration of Cu+2 with I
    2Cu2+ (aq) + 4I (aq) → Cu2I2 (s) + I2 (aq)
    A redox reaction I2 gives a deep blue colour with starch solution.
  3. In the titration of I2 (aq) S2\(\mathrm{O}_3^{-2}\) as per the stoichiometric reduce equation.
    In this way redox reactions are taken as the basis for titrimetric analysis with Mn\(\mathrm{O}_4^{-}\), Cr2\(\mathrm{O}_7^{-2}\) etc., as oxidising agents and S2\(\mathrm{O}_3^{-}\) etc., as a reducing agents,

b) Redox Reactions – Galvanic cells : Redox reaction (i.e) cell reaction that takes place in gavamic cell is
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 10
The process of transfer of electrons from Zn(s) to Cu+2 take place directly. To make this transfer indirectly, Zn rod is kept in ZnSO4 solution in one beaker and in the other beaker CuSO4 solution is taken and a copper rod is dipped in it. Now the redox reaction takes place in either of the beakers. Each beakers contains both oxidised and reduced forms of the respective species in the beakers containing CuSO4 solution & Cu rod at the interface Cu and Cu+2 and in the other beaker at the interface Zn and Zn+2. The two forms i.e., oxidised and reduced forms of a species participating in oxidation and reduction half reactions is called redox couple. Both the beakers contains each a redox couple. The oxidised form and reduced form are separated by a vertical line (or) a slash that represent an interface, e.g.: Zn (s) / Zn+2 (aq)

In the above arrangement, the two redox couples are represented by Zn+2 / Zn and Cu+2 / Cu.
halvamic cell is represented as : Zn/Zn2+//Cu+2/Cu.

Question 15.
Define and explain molar mass.
Answer:
Molar mass : The mass of one mole of any substance in gms is called its molar mass,
e.g. :

  1. Molar mass of sulphuric acid = 98 g
  2. Molar mass of hydrogen is one gram for gram atomic mass and two grams for gram molecular mass.

Question 16.
What are disproportionation reactions ? Give example. (T.S. Mar. ’16)
Answer:
Disproportionation Reaction : Reactions in which same element in the given form to undergo both oxidation and reduction simultaneously.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 11
Here Cl2 undergoes both oxidation and reduction reactions. So, above reaction is disproportionation reaction.

Question 17.
What are comproportionation reactions ? Give example.
Answer:
Comproportionation reactions : In these reactions, two species with the same element in two different oxidation states form a single product in which the element is in an intermediate oxidation state. Reverse of disproportionation is comproportionation.
e.g.:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 12

Question 18.
Determine the empirical formula of an oxide of iron which has 69.9% iron and 30.1% dioxygen by mass.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 13
∴ Formula of compound = Fe1O1.5
Emperical formula = Fe2O3

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 19.
Calculate the mass of sodium acetate (CH3COONa) required to make 500 ml of 0.375 molar aqueous solution. Molar mass of sodium acetate is 82.0245 g mol-1.
Answer:
Formula
Molarity = \(\frac{\mathrm{Wt}}{\mathrm{GMwt}}\) × \(\frac{1000}{V(m l)}\)
Molarity = 0.375M
V = 500 ml
GMwt of CH3COONa = 82.0245
0.375 = \(\frac{W t}{82.0245}\) × \(\frac{1000}{500}\)
Wt = \(\frac{82.0245 \times 0.375}{2}\)
= 15.3795 gms
∴ Mass of CH3COONa required = 15.3795 gms

Question 20.
What is the concentration of sugar (C12H22O11) in mol L-1 if 20g are dissolved in enough water to make a final volume up to 2L ?
Answer:
Formula
Molarity = \(\frac{W t}{G M W t} \times \frac{1}{V(\text { lit })}\)
= \(\frac{20}{342} \times \frac{1}{2}\)
= 0.02924 M
Wt = 20 gms
GMWt = 342
[C12H22OH]
V = 2 lit

Question 21.
How many significant figures are present in the following ?

  1. 0.0025
  2. 208
  3. 5005
  4. 126,000
  5. 500.0
  6. 2.0034

Answer:

  1. 0.0025 has 2 significant figures
  2. 208 has 3 significant figures
  3. 5005 has 4 significant figures
  4. 126000 has 3 significant figures
  5. 500.0 has 4 significant figures
  6. 2.0034 has 5 significant figures

Question 22.
Round up the following upto three significant figures :

  1. 34.216
  2. 10.4107
  3. 0.04597
  4. 2808

Answer:

  1. 34.216 becomes 34.2
  2. 10.4107 becomes 10.4
  3. 0.04597 becomes 0.046
  4. 2808 becomes 281

Question 23.
Calculate the molarity of a solution of ethanol in water in which the mole fraction of ethanol is 0.040 (assume the density of water to be one)
Answer:
The relation between Molarity and mole fraction is given by
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 14
Given data, x2 = 0.040, M = ?
M1 = 18(H2O), M2 = 46 (C2H5OH), Cl = 1
0040 = \(\frac{M \times 18}{M(18-46)+1000 \times 1}\) = \(\frac{M \times 18}{-28 M+1000}\)
18 M = -0.040 × M × 28 + 0.040 × 1000
18 M = -1.12M + 40
(18 + 1.12)M = 40
19.12 M = 40
M = \(\frac{40}{19.12}\) = 2 09 M ∴ Molarity of Ethanol = 2.09 M

Given data
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 15

Question 24.
A welding fuel gas contains carbon and hydrogen only. Burning a small sample of it in oxygen gives 3.38 g carbon dioxide, 0.690 g of water and no other products. A volume of 10.0 L (measured at STP) of this welding gas is found to weigh 11.6 g. calculate
(i) empirical formula,
(ii) molar mass of the gas and
(iii) molecular formula.
Answer:
Assuming 1 gm. of gas is burnt
The weight % of ‘C’ = \(\frac{3.38 \times 12}{44}\) × 100 = 92.18%
The weight % of ‘H’ = \(\frac{0.69 \times 2}{18}\) = 7.67%
i)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 16
Experical formula of compound = C1H1

ii) Given 10 lit of gas at STP weighs – 11.6 gas
22.44 lit of gas at STP weights = \(\frac{22.4 \times 11.6}{10}\) = 25.984
∴ Molecular weight of given gas = 25.984

iii) Molecular formula = n(emperical formula)
n = \(\frac{\text { Mol. wt }}{\text { Emp. wt }}\) = \(\frac{25.984}{13}\) = 2 ∴ Molecular formula = 2(CH) = C2H2.

Question 25.
Calcium carbonate reacts with aqueous HCl to give CaCl2 and CO2 according to the reaction CaCO3(5) + 2 HCl(aq) → CaCl2(aq) + CO2(g) + H2O (L). What mass of CaCO3 is required to react completely with 25 mL of 0.75 M HCl?
Answer:
Given chemical reaction
CaCO3(s) + 2HCl(aq) → CaCl2(aq) + CO2(g) + H2O(l)
Molarity = \(\frac{\mathrm{Wt}}{\mathrm{GMWt}} \times \frac{1000}{\mathrm{~V}(\mathrm{~m})}\)
0.75 = \(\frac{\mathrm{Wt}}{36.5} \times \frac{1000}{25}\)
M = 0.75 M
W = ?
Wt = \(\frac{0.75 \times 36.5 \times 25}{1000}\)
= 0.6844 gms of HCl
GMwt = 36.5
V = 25 ml
From the equation
1 mole of CaCO3 – 2 moles of HCl
100 gms of CaCO3 – 2 × 36.5 gms of HCl
? – 0.6844 gms of HCl
∴ Mass of CaCO3 = \(\frac{0.6844}{2 \times 36.5}\) × 100 = 0.937 5 gms

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 26.
Chlorine is prepared in the laboratory by treating manganese dioxide (MnO2) with aqueous hydrochloric acid according to the reaction
4 HCl (aq) + MnO2(s) → 2 H2O (l) + MnCl2(aq) + Cl2(g)
How many grams of HCl react with 5.0 g of manganese dioxide?
Answer:
Given chemical reaction is
4HCl(aq) + MnO2(s) → MnCl2(aq) + 2H2O(l) + Cl2(g)
4 moles of HCl – 1 mole of MnO2
4 × 36.5 gms. of HCl – 87 gms. of MnO2
∴ Weight of HCl required = \(\frac{5 \times 4 \times 36.5}{87}\) = 8.39 gms.

Question 27.
To 50 ml of 0.1 N Na2CO3 solution 150 ml of H2O is added. Then calculate a normality of resultant solution.
Answer:
Formulae N1V1 = N2V2
0.1 × 50 = N2 × 200
N2 = \(\frac{0.1}{4}\)
= 0.025 N
N1 = 0.1 N
V1 = 50 ml
N2 = ?
V2 = 150 + 150 = 200 ml

Question 28.
Calculate the volume of 0.1 N H2SO4 required to neutralize 200 ml of 0.2 N NaOH solution. It is an acid base neutralisation reaction. Hence, at the neutralisation point. Number of equivalents of acid = Number of equivalents of base.
Answer:
Formula N1V1 = N2V2
0.1 × V1 = 0.2 × V2
V2 = 2 × 200
= 400 ml
N1 = 0.1 N
V1 = ?
V2 = 200 ml
N2 = 0.2 N

Question 29.
Calculate normality of H2SO4 solutions if 50 ml of it completely neutralises 250 ml of 0.1 N Ba(OH)2 solutions.
Solution:
Formulae N1V1 = N2V2
N × 50 = 0.1 × 250
N1 = 0.5 N
N1 = ?
V1 = 50 ml
N2 = 0.1 N
V2 = 250 ml

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 30.
Calculate the volume of 0.1 M KMnO4 required to react with 100 ml of 0.1 M H2C2O4.2H2O solution in presence of H2SO4.
Answer:
Balanced chemical equation for the given data is
Formulae
\(\frac{M_1 V_1}{n_1}\) = \(\frac{M_2 V_2}{n_2}\)
\(\frac{0.1 \times V_1}{2}\) = \(\frac{0.1 \times 100}{8}\)
V1 = 40 ml

KMnO4
M1 = 0.1 M
V1 = ?
n1 = 2

Oxalic acid

M2 = 0.1 M
V2 = 100 ml
n2 = 5

Question 31.
Assign oxidation number to the underlined elements in each of the following species:
a) NaH2PO4
b) NaHSO4
c) H4P2O7
d) K2MnO4
e) CaO2
f) NaH4
g) H2S2O7
h) KAl(SO4)2.12 H2O
Answer:
a) NaH2PO4
1(+1) + 2(+1) + x + 4(-2) = 0
1 + 2 + x – 8 = 0
x – 5 = 0
x= + 5
Oxidation no. of ‘P in NaH2PO4 = + 5

b) NaHSO4
1(+1) + 1(+1) + x + 4(-2) = 0
1 + 1 + x – 8 = 0
x = +6
Oxidation no. of ‘S in NaHSO4 = + 6

c) H4P2O7
4(+1) + 2x + 7(-2) = 0
4 + 2x – 14 = 0
2x – 10 = 0.
x = +5
Oxidation no. of ‘P’ in H4P2O7 is +5

d) K2MnO4
2(+1) + x + 4(-2) = 0
2 + x – 8 = 0
x = + 6
Oxidation no of Mn is K2MnO4 = +6

e) CaO2
+ 2 + 2x = 0
2x = -2
x = -1
Oxidation no. of oxygen in CaO2 = -1

f) NaBH4
1(+1) + x + 4 (-1) = 0
1 + x – 4 = 0
x = +3
Oxidation no. of ‘B’ in NaBH4 = + 3
But B’ most probably exhibits – 3 oxidation state.

g) H2S2O7
2(1) + 2x + 7(-2) = 0
2 + 2x – 14 = 0
2x – 12 = 0
x = +6
Oxidation state of ‘S’ in H2S2O7 = + 6

h) K Al(SO4)2 12H2O :
General formula of above compound is K2SO4 Al2 (SO4)3 2 + H2O (Potash alum)
Consider Al2(SO4)3 from the above double salt
2x + 3 (-2) = 0
2x – 6 = 0
x = + 3

Question 32.
What are the oxidation number of the underlined elements in each of the following and how do you rationalise your results ?
a) KI3
b) H2SO4O6
c) Fe3O4
Answer:
a) KI3
It is formed by the combining KI, I2
∴ Oxidation no. of ‘I’ in KI = – 1
[1 + x = 0
x = – 1]
In I2 oxidation no. of. I = 0

b) H2S4O6
According to H2S4O6 structure
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 17
2(1) + 4x + 6(-2) = 0 ⇒ 4x – 10 = 0
x = 2.5
‘S’ average Ox. No = 2.5

c) Fe3O4
3x + 4(-2) = 0
3x – 8 = 0
x = \(\frac{8}{3}\)
In general Fe3O4 obtained by FeO + Fe2O3
∴ In FeO → x = + 2 [x – 2 = 0 ⇒ x = + 2]
In Fe2O3 → x = + 3 [2x – 6 = 0 ⇒ x = + 3]

Question 33.
Justify that the following reactions are redox reactions :
Answer:
a) CuO(s) + H2(g) → Cu(s) + H2O(g)
b) Fe2O3(s) + 3CO(g) → 2 Fe(s) + 3 CO2(g)
c) 4 BCl3(g) + 3 LiAlH4(s) → 2 B2H6(g) + 3 LiCl(s) + 3 AlCl3(s)
d) 2 K(s) + F2(g) → 2 K+F(s)
e) 4 NH3(g) + 5 O2(g) → 4 NO(g) + 6 H2O(g)
a)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 18
Hence it is a Redox reaction.

b)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 19
Hence it is a Redox reaction.

c) \(4 \mathrm{BCl}_{3_{(g)}}\) + \(3 \mathrm{LiAlH}_{4_{(s)}}\) → \(2 \mathrm{~B}_2 \mathrm{H}_{6_{(g)}}\) + \(3 \mathrm{LiCl}_{(s)}\) + \(4 \mathrm{AlCl}_{3_{(\mathrm{s})}}\)
Here in the above reaction the oxidation states of all elements doesnot changed. So it is not a redox reaction.

d)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 20
Hence it is a redox reaction.

e)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 21
Hence it is a redox reaction.

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 34.
Fluorine reacts with ice and results in the change
H2O(S) + F2(g) → HF(g) + HOF(g)
Justify that this reaction is a redox reaction.
Answer:
Given chemical equation
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 22
Hence it is a redox reaction.

Question 35.
Calculate the oxidation number of sulphur, chromium and nitrogen in H2SO5, Cr2\(O_7^{-2}\) and \(\mathrm{NO}_3^{-}\). Suggest structure of these compounds.
Answer:
a) H2SO5 Structure:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 23
2(1) + x + 2(-1) + 3(-2) = 0 (One peroxy linkage)
2 + x – 2 – 6 = 0
x = +6

b) Cr2\(\mathrm{O}_7^{-2}\) Structure:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 24
2(x) + 7(-2) = -2
2x – 14 = -2
x = +6

c) \(\mathrm{NO}_3^{-}\) Structure:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 25
x + 3(-2) = -1
x – 6 = -1
x = +5

Question 36.
Write formulas for the following compounds: .
a) Mercury (II) chloride
b) Nickel (II) sulphate
c) Tin (IV) oxide
d) Thallium (I) sulphate
e) Iron (III) sulphate
f) Chromium (III) oxide
Answer:
Formula
a) Mercury (II) Chloride — HgCl2
b) Nickel (II) Sulphate — NiSO4
c) Tin (IV) Chloride — SnCl4
d) Thallium (I) Sulphate — Tl2SO4
e) Iron (III) Sulphate — Fe2(SO4)3
f) Chromium (III) Oxide — Cr2O3

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 37.
Suggest a list of the substances where carbon can exhibit oxidation states from -4 to +4 and nitrogen from -3 to +5.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 26
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 27

Question 38.
While sulphur dioxide and hydrogen peroxide can act as oxidising as well as reducing agents in their reactions, ozone and nitric acid act only as oxidants. Why ?
Answer:
SO3 and H2O2 both acts as oxidising as well as reducing agents.

  • Ozone acts as strong oxidising agent in acidic medium (Ozone acts as reducing agent also in some cases).
  • HNO3 acts as strong oxidising agent because in HNO3. He H+ ion readily released and the oxidation state of ‘N’ is +5 in HNO3. So it is a good oxidising agent.

Question 39.
Consider the reactions :
a) 6 CO2(g) + 6 H2O (l) → C6H12O6 (aq) + 6 O2(g)
b) O3 (g) + H2O2 (l) → H2O () + 2 O2 (g)
Why it is more appropriate to write these reactions as :
a) 6 CO2 (g) + 12 H2O(l) → C6H12O6(aq) + 6 H2O(l) + 6 O2(g)
b) O3(g) + H2O2(l) → H2O2(l) + O2(g) + O2(g)
Also suggest a technique to investigate the path of the above (a) and (b) redox reactions.
Answer:
a) 6CO2 + 12 H2O → C6H12O6 + 6 H2O + 6 O2
This equation is more appropriate writing equation of photosynthesis.
Because of evolution of oxygen from H2O but not from CO2.

b) O3(g) + H2O2(l) → H2O(l) + O2(g) + O2(g)
This is the more appropriate equation to write because in this reaction clearly mentioned that which is oxidised and which is reduced.

Question 40.
The compounds AgF2 is unstable compound. However, if formed, the compound acts as a very strong oxidising agent. Why ?
Answer:

  • AgF2 is an unstable compound.
  • If suppose it is formed it acts as good oxidising agent.

Reason :
AgF2 releases fluorine gas which is a powerful oxidising agent.
∴ AgF2 is a good oxidising agent.

Question 41.
Whenever a reaction between an oxidising agent and a reducing agent is carried out, a compound of lower oxidation state is formed if the reducing agent is in excess and a compound of higher oxidation state is formed if the oxidising agent is in excess. Justify this statement giving three illustrations.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 28
The above equations illustrates the given statement.

Question 42.
How do you count for the following observations ?
a) Though alkaline potassium permagnate and acidic potassium permanganate both are used as oxidants, yet in the manufacture of benzoic acid from toluene we use alcoholic potassium permanganate as an oxidant. Why ? Write a balanced redox equation for the reaction.
b) When concentrated sulphuric acid is added to an inorganic mixture containing chloride, we get colourless pungent smelling gas HCl, but if the mixture contains bromide then we get red vapour of bromine. Why ?
Answer:
a) Balanced equation of KMn04/H+ (Acidic medium)
Mn\(\mathrm{O}_4^{-}\) + 8 H+ + 5 e → Mn+2 + 4 H2O
Balanced equation of KMnO4/ H+ (Basic medium)
Mn\(\mathrm{O}_4^{-}\) + 2 H2O + 3 e → MnO2 + 4 OH

  • Toluene is oxidised to benzoic acid in alcoholic medium.
  • Toluene is easily oxidised in presence of alcoholic KMnO4
    AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 29

b) When Conc. H2SO4 reacts with NaCl then HCl vapours are evolved.
2 NaCl + H2SO4 → Na2SO4 + 2 HCl
When Conc. H4SO4 reacts with KBr than HBr vapours are evolved which on further oxidation gives reddish brown Br2 vapours.
2 KBr + H2SO4 → Na2SO4 + 2 HBr
2MBr + H2SO4 → 2 H2O + SO2 + Br2 (Reddish brown)

Question 43.
Identify the substance oxidised, reduced, oxidising agent and reducing agent for each of the following reactions :
a) 2 AgBr (s) + C6H6O2 (aq) → 2 Ag (s) + 2 HBr (aq) + C6H6O2 (aq)
b) HCHO(l) + 2[Af(NH3)2]+(aq) + 3 OH(aq) → 2 Ag(s) + HCOO(aq) + 4 NH3(aq) + 2 H2O(l)
c) HCHO(l) + 2 Cu2+(aq) + 5 OH(aq) → Cu2O(s) + HCOO(aq) + 3 H2O(l)
d) N2H4 (l) + 2 H2O2(l) → N2(g) + 4 H2O(l)
e) Pb(s) + PbO2(s) + 2 H2SO4(aq) → 2 PbSO4(s) + 2 H2O(l)
Answer:
a) Given equation is
2 AgBr(s) + C6H6O2(aq)

  • 2 Ag(s) + 2 HBr(aq) + C6H4O2 (aq)
  • C6H6O2 oxidised to C6H4O2
  • Ag+Br reduced to Ag
  • Oxidising agent is Ag+
  • Reducing agent is C6H6O2

b) Given equation is HCHO(l) + \(2\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]_{(\mathrm{aq})}^{+}\) + \(3 \mathrm{OH}_{(\mathrm{aq})}^{-}\)

  • 2 Ag(s) + \(3 \mathrm{OH}_{\text {(aq) }}^{-}\) + 4NH3(aq) + 2 H2O(l)
  • HCHO oxidised to HCOO
  • [Ag(NH3)2]+ reduced to Ag
  • [Ag(NH3)2]+ is oxidising agent
  • HCHO is reducing agent

c) Given equation is
HCHO(l) + \(2 \mathrm{Cu}_{(\mathrm{aq})}^{+2}\) + 5OH → Cu2O(s) + \(\mathrm{HCOO}_{(a q)}^{-}\) + 3H2O(l)

  • HCHO oxidised to HCOO
  • Cu+2 reduced to Cu+(in Cu2O)
  • Oxidising agent is Cu+2 ions (In Fehling’s reagent)
  • Reducing agent is HCHO

d) Given equation is
N2H4(l) + 2K2O2(l) → N2(g) + 4H2O(l)

  • \(N^{-2}\) oxidised to N2
  • \(\mathrm{O}_2^{-2}\) reduced to O-2
  • Oxidising agent is H2O2
  • Reducing agent is N2H4
    Pb(s) + pbO4(s) + 2H2SO4(aq)

e)

  • 2PbSO4(s) + 2H2O
  • Pb oxidised to Pb+2
  • PbO2 reduced to Pb+2
  • Oxidising agent is PbO2
  • Reducing agent is Pb

Question 44.
Consider the reactions :
2S2\(\mathrm{O}_3^{-2}\) (aQ) + I2 (s) → S4\(\mathrm{O}_6^{-2}\) (aQ) + 2I (aQ)
S2\(\mathrm{O}_3^{-2}\) (aQ) + I2(s) + 5H2O(l) → 2S\(\mathbf{O}_4^{-2}\) (aq) + 4\(\mathrm{Br}_{(\mathrm{aq})}^{-}\)(aq) + 10\(H_{(aq)}^{+}\)
Why does the same reductant, thiosulphate react differently with iodine and bromine ?
Answer:

  • Thio sulphate ion is not a strong reducing agent.
  • I2 is not a strong oxidising agent.
  • The reaction between I2 and thio sulphate form tetrathionate (S4\(\mathrm{O}_6^{-2}\)) ion.
    AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 30
  • The above reaction has high rate of reaction.
  • The reaction between Thiosulphate and Bromine involves the formation of sulphate ion.
    AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 31
  • Br2 is some what better oxidising agent than I2.
    Hence the difference observed in the above reactions.

Question 45.
Justify giving reactions that among halogens, fluorine is the best oxidant and among hydrohalic compounds, hydroiodic acid is the best reductant.
Answer:
a)

  • The oxidising capacity of any substance depends on the net result of several contributing energy factors like enthalpy change in a reaction, standard Electrode potential.
  • With reference to Born-Haber type energy cycle the change in enthalpy value is greater for fluorine.
  • Greater the magnitude of negative change in enthalpy greater is the oxidising power.

Supporting reaction :

  • Fluorine reacts with carbon while the other elements of group do not combine even under drastic conditions.
    C + 2 F2 → CF4
  • Fluorine is also called as superhalogen.

b)

  • Hydrohalic compounds acts as reducing agents. Their stability order is
    HF >> HCl > HBr > HI
  • HI is least stable and acts as strons reducing agent among these halides.
    H2 + I2 \(\rightleftharpoons\) 2 HI

Question 46.
Why does the following reaction occur ?
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 32
What conclusion about the compound Na4XeO6(of which AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 75 is a part) can be drawn from the reaction.
Answer:
Given equation is
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 34

  • In the above reaction ‘Xe’ under go reduction (+8 to +6)
  • F oxidised to F2 here perxenate ion acts as powerful oxidising agent.
  • Perxenates are stable in alkali solutions.
  • Na4XeO6 is a powerful oxidant.

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 47.
Consider the reactions :
(a) H3PO2(aq) + 4 AgNO3(aq) + 2 H2O(1) → H3PO4(aq) + 4Ag(s) + 4HNO3(aq)
(b) H3PO2(aq) + 2 CuSO4(aq) + 2 H2O(1) → H3PO4(aq) + 2Cu(s) + H2SO4(aq)
(c) C6H5CHO(l) + 2[Ag (NH3)2]+(aq) + 3OH(aq) → C6H5COO(aq) + 2Ag(s) + 4NH3(aq) + 2H2O(l)
(d) C6H5CHO(l) + 2Cu2+(aq) + 5OH(aq) → No Change observed.
what inference do you draw about the behaviour of Ag+ and Cu2+ from these reactions ?
Answer:

  • H3PO2 is a strong reducing agent hence it reduce Ag+ to Ag and Cu+2 to Cu.
  • C6H5CHO is also a reducing agent it just reduced.
    Ag+ to Ag in tollen’s reagent but it does not reduced Cu+2 in alkaline solution.

Question 48.
Balance the following redox reactions by ion – electron method :
(a) Mn\(\mathrm{O}_4^{-}\) (aq) + I (aq) → MnO2(s) + I2 (s) (in basic medium)
(b) Mn\(\mathrm{O}_4^{-}\) (aq) + SO2 (g) → Mn2+ (aq) + HSO4 (aq) (in acidic solution)
(c) H2O2 (aq) + Fe2+ (aq) → Fe3+ (aq) + H2O(l) (in acidic solution)
(d) Cr2\(\mathrm{O}_7^{2-}\)SO2 (g) → Cr3+ (aq) + S\(\mathrm{O}_4^{2-}\) (aq) (in acidic solution)
Answer:
a) Mn\(\mathrm{O}_{4 \text { (aq) }}^{-}\) + \(\mathbf{I}_{(\mathrm{aq})}^{-}\) → MnO2(s) + I2(s) (Basic medium)

Reduction half cell
\(\mathrm{MnO}_4^{-}\) → MnO2
\(\mathrm{MnO}_4^{-}\) → MnO2 + 2H2O (Oxygens balanced)
\(\mathrm{MnO}_4^{-}\) + 4H2O → MnO2 + 2H2O + 4OH
(Hydrogens balanced)
\(\mathrm{MnO}_4^{-}\) + 2H2O → MnO2 + 4OH
\(\mathrm{MnO}_4^{-}\) + 2H2O + 3e → MnO2 +4OH]
(Charge balanced)
2 × [Mn\(\mathrm{MnO}_4^{-}\) + 2H2O + 3e → MnO2 + 4OH-1]
3 × [2 I → I2 + 2e]
Oxidation half cell
I → I2
2 I → I2 (Iodines balanced)
2 I → I2 + 2 e (Charge balanced)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 35
The above equation is balanced equation.

b)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 36
Above equation is balanced chemical equation.

c)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 37

d)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 38
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 39

Question 49.
Balance the following equations in basic medium by ion-electron method and oxidation number methods and identify the oxidising agent and the reducting agent
(a) P4(s) + OH(aq) → PH3(g) + HP\(\mathrm{O}_2^{-}\)
(b) N2H4(l) + Cl\(\mathrm{O}_3^{-}(\mathrm{aq})\)(aq) → NO(g) + Cl(g)
(c) Cl2O7 (g) + H2O2 (aq) → ClO2 (aq) + O2 (g) + H+
Answer:
a) P4 + OH → PH3 + HP\(\mathrm{O}_2^{-}\)
Reduction half cell
P4 → PH3
P4 → 4PH3
P4 + 12H2O → 4PH3 + 12 OH (H balanced)
P4 + 12H2O + 12e → 4PH3 + 12 OH
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 40

Oxidation half cell
P4 → H2P\(\mathrm{O}_2^{-}\)
P4 → 4H2P\(\mathrm{O}_2^{-}\) (‘P’ balanced)
P4 + 8H2O → 4H2\(\mathrm{PO}_2^{-}\) (Oxygen balanced)
P4 + 8H2O + 8 OH → 4H2\(\mathrm{PO}_2^{-}\) + 8H2O
(Hydrogen balanced)
P4 + 8OH → 4H2\(\mathrm{PO}_2^{-}\) + 4e
(Charge balanced)
Here P4 is oxidising agent as well reducing agent.

b)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 41
\(\mathrm{ClO}_3^{-}\) is oxidant
N2H4 is reductant

c)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 42

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 50.
What sorts of informations can you draw from the following reaction ?
(CN)2(g) + 20H(aq → CN(aq) + CNO(aq) + H2O(1)
Answer:
(CN)2(g) + 2(OH) → \(\mathrm{CN}_{(\mathrm{aq})}^{-}\) + \(\mathrm{CNO}_{(\mathrm{aq})}^{-}\) + \(\mathrm{H}_2 \mathrm{O}_{(l)}\)
(CN)2 + 2e → 2 CN (Reduction)
(CN)2 + 2H2O → 2 CNO + 4H+ + 2e (Oxidation)
Here (CN2) undergo oxidation as well as reduction.
It is a dis proportionation reaction.

Question 51.
The Mn3+ ion is unstable in solution and undergoes disproportionation to give Mn2+. MnO2+ and H+ ion. Write a balanced ionic equation for the reaction.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 43

  • Above equation is a dis proportionation reaction

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 44

Question 52.
Consider the elements :
Cs, Ne, I and F
(a) Identify the element that exhibits only negative oxidation state.
(b) Identify the element that exhibits only positive oxidation state.
(c) Identify the element that exhibits both postive and negative oxidation states.
(d) Identify the element which exhibits neither the negative nor does the positive oxidation state.
Answer:
a) ‘F’ Exhibits negative oxidation state i.e. ‘-1’
b) ‘Cs’ Exhibits only positive oxidation state
c) ‘I’ Exhibits positive as well as negative oxidation states
d) ‘Ne’ doesnot exhibit any oxidation state in ground state
(Neither positive nor negative)

Question 53.
Chlorine is used to purify drinking water. Excess of chlorine is harmful. The excess of chlorine is removed by treating with sulphur dioxide. Present a balanced equation for this redox change taking place in water.
Answer:
Balanced equations for the given data is
Cl2 + SO2 + H2O → SO3 + 2H+ + Cl

Question 54.
Refer to the periodic table given in your book and now answer the following questions :
a) Select the possible non metals that can show disproportionation reaction.
b) Select three metals that can show disproportionation reaction.
Answer:
a) Non metals
Chlorine, Bromine, Oxygen, Sulphur, Phosphorous, Iodine undergo disproportionations
b) Metals Cr, Mn and pb undergo disproportionation.

Question 55.
In Ostwald’s process for the manufacture of nitric acid, the first step involves the oxidation of ammonia gas by oxygen gas to give nitric oxide gas and steam. What is the maximum weight of nitric oxide that can be obtained starting only with 10.00 g, of ammonia and 20.00 g of oxygen ?
Answer:
Chemical reaction is
4NH3 + 5O2 → 4NO + 6H2O
4 moles NH3 – 5 moles of O2
Given 10 gms of NH3
∴ No. of moles = \(\frac{10}{17}\) = 0.588 moles
Given 20 gms of NH3
∴ No. of moles = \(\frac{20}{32}\) = \(\frac{5}{8}\) = 0.4
4 moles of ammonia reacts with 5 moles of O2
0.588 moles of NH3 …. ?
\(\frac{0.588}{4}\) × 5 = 0.735 moles
5 moles of O2 reacts with 4 moles of NH3
0.4 moles of O2…. ?
\(\frac{0.4}{5}\) × 4 = \(\frac{1.6}{5}\) = 0.32

  • Here O2 is not present in sufficient amount NH3 has sufficient in amount

5 moles of O2 → 4 moles of NO.
5 × 32 gms of O2 → 4 × 30 gms of NO.
20 gms of O2 → ?
\(\frac{20 \times 4 \times 30}{5 \times 32}\) = \(\frac{20 \times 24}{32}\) = \(\frac{120}{8}\) = 15 gms

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 56.
Arrange the following metals in the order in which they displace each other from the solution of their salts.
Al, Cu, Fe, Mg and Zn.
Answer:
According to electro chemical series electrode potentials of given elements as follows
Al – -1.66 V
Cul – + 0.34 V
Fe – -0.40 V
Mg – -2.37 V
Zn – -0.76 V
∴ The order of the above metals in which they displace each other from the solution of their salts. Mg > AZ > Zn > Fe > Cu

Long Answer Questions

Question 1.
Wtire the balanced ionic equation which represents the oxidation of iodide (I-) ion by permanganate ion in basic medium at give iodine (I) and managanese dioxide (MnO2)
Answer:
Basic equation is
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 45
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 46
The above equation is balanced equation.

Question 2.
Write the balanced equation for the oxidation of suiphite ions to sulphate ions in acid medium by permanganate ion.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 47

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 3.
Oxalic acid is oxidised by permanganate ion is acid medium of Mn2+ balance the reaction by ion — electron method.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 48

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 4.
Phosphorus when heated with NaOH solution gives phosphine (PH3) and H2P\(\mathrm{O}_2^{-}\). Give the balanced equation.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 49
Here P4 is oxidising agent as well reducing agent.

Question 5.
Balance the following equation
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 50
Answer:
Oxidation half reaction Cr(OH)3 → \(\mathrm{CrO}_4^{2-}\)
(The ox. no of Cr changes from +3 to +6)
Reduction half reaction \(\mathrm{IO}_3^{-}\) → I (The ox. no. of ‘I’ changes from +5 to —1)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 51
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 52

Question 6.
Balance the following equation by the oxidation number method.
Mn\(\mathrm{O}_4^{-2}\) + Cl2 → Mn\(\mathrm{O}_4^{-2}\) + Cl
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 53

Question 7.
Exaplain the different types of redox reactions.
Answer:
Redox reaction : “The reaction that involves loss of electrons is called an oxidation reaction and that involving gain of electrons is called a reduction reaction. The overall reaction is called as oxidation – reduction reaction” or simply ‘redox reaction’.

Types of redox reactions:

a) Chemical combination reactions: In these reactions one species combine with another species to form product. In this conversion one species undergo oxidation and other species undergo reduction.
e.g.:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 54
As the oxidation state of carbon increases from ‘0’ to ‘+4’ in the reaction. So, carbon undergoes oxidation.
Oxygen changes from ‘0’ to ‘-2’ oxidation state. So, it undergoes reduction. Therefore, the above overall combination reaction is redox reaction.

b) Decomposition reactions : Chemical compounds chemically split into two or more simpler substances during decomposition reactions. These are again redox reactions.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 55
Here, water decomposes. H2 undergoes reduction from +1 to 0 in the reaction. Oxygen on the other hand changes its oxidation state from -2 to 0 (or) it undergoes oxidation.
Therefore, decomposition of H20 is a redox reaction.

c) Displacement reactions : In these reactions the place of one species in its compound is taken up by other species.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 56
‘Zn’ displaces ‘Cu’ from CuSO4 solution. In this reaction Zn undergoes oxidation and Cu undergoes reduction. Therefore overall reaction is a redox reaction.

d) Disproportionation reactions : These reactions involve the same element in the given form to undergo both oxidation and reduction simultaneously.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 57
In the above reaction ‘Cl2‘ undergoes both oxidation and reduction. It is a special type of redox reaction.

e) Comproportionation reactions : Reverse of disproportionation is comproportionation. In comproportionation reactions, two species with the same element in two different oxidation states form a single product in which the element is in an intermediate oxidation state.
e.g.:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 58

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 8.
Calculate the amount of carbon dioxide that could be produced when
(i) 1 mole of carbon is burnt in air.
(ii) 1 mole of carbon is burnt in 16 g of dioxygen,
(iii) 2 moles of carbon are burnt in 16 g of dioxygen.
Answer:
i) C + O2 → CO2
1 mole of ‘C’ → 1 mole of CO2
∴ 44 gms of CO2

ii) C + O2 → CO2
Given 1 mole of O2 burnt in 16 gms of di oxygen

iii) C + O2 → CO2
2 moles of ‘C’ burnt in 16 gms of O2
∴ 1 mole of O2 → 44 gms of CO2
32 gms of O2 → 44 gms of CO2
16 gms of O2 → 22 gms of CO2

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 9.
Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation :
N2(g) + H2(g) → 2NH3 (g)
(i) Calculate the mass of ammonia produced if 2.00 × 103 g dinitrogen reacts with 1.00 × 103 g of dihydrogen.
(ii) Will any of the two reactants remain unreacted ?
(iii) If yes, which one and what would be its mass ?
Answer:
i) N2 + 3H2 → 2NH3
Given Nitrogen = 2 × 103 gms
No. of moles = \(\frac{2000}{28}\) = 71.4285
Given hydrogen = 1 × 103 gms
No. of moles = \(\frac{1000}{2}\) = 500 moles
N2 is limiting agent
∴28 gms of N2 → 2 × 17gms NH3
2000 gms of N2
\(\frac{2000 \times 17}{28}\) = 2428.57 gms

ii) Used amount of hydrogen
28 → 6 gms
100 gms → ?
\(\frac{1000 \times 6}{28}\) = 214.285 gms

iii) Remaining amount of hydrogens
= 1000 – 2140.285
= 785.715 gms

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 10.
Assign oxidation number to the underlined elements in each of the following epecies :
(a) NaH2PO4
b) NaHSO4
c) H4P2O7
d) K2MnO4
(e) CaO2
(f) NaBH4
(g) H2S2O7
(h) KA1(SO4)2.12 H2O
Answer:
(a) NaH2PO4
1(+1) + 2(+1) + x + 4 (-2) = 0
1 + 2 + x – 8 = 0
x – 5 = 0
x = +5
Oxidation no. of ‘P’ in NaH2PO4 = + 5

b) NaHSO4
1(+1) +1(+1) + x + 4(-2) = 0
1 + 1 + x – 8 = 0
x = + 6
Oxidation no. of ‘S’ in NaHSO4 = + 6

c) H4P2O7
4(+1) + 2x + 7(-2) = 0
4 + 2x – 14 = 0
2x – 10 = 0
x = + 5
Oxidation no. of ‘P’ in H4P2O7 is +5

d) K2MnO4
2(+1) + x + 4(-2) = 0
2 + x + 8 = 0
x = + 6
Oxidation no of Mn is K2MnO4 = + 6

e) CaO2
+ 2 + 2x = 0.
2x = -2
x = -1
Oxidation no. of oxygen in CaO2 = -1

f) NaBH4
1(+1) + x+ 4(-1) = 0
1 + x – 4 = 0
x = +3
Oxidation no. of ‘B’ in NaBH4 = +3
But ‘B’ most probably exhibits -3 oxidation state.

g) H2S2O7
2(1) + 2x + 7(-2) = 0
2 + 2x – 14 = 0
2x – 12 = 0
x = +6
Oxidation state of ‘S’ in H2S2O7 = + 6

h) k Al(SO4)2 12H2O :
General formula of above compound is
k2SO4 Al2 (SO4) 24 H2O (Potash alum)
Consider Al2(SO4)3 from the above double salt
2x + 3(-2) = 0
2x – 6 = 0
x = +3

Question 11.
What are the oxidation number of the underlined elements in each of the following and how do you rationalise your results?
(a) H2S4O6
(b) Fe3O4
(c) CH3CH2OH
(d) CH3COOH
Answer:
a) 45 (b)

b) 45 (c)

c) CH3 CH2 – OH
C2H6O
2x + 6(1) + (-2) = 0
2x + 6 – 2 = 0
2x + 4 = 0
x = -2

d) CH3COOH
C2H4O2
2x + 4(+1) + 2(-2) = 0
2x + 4 – 4 = 0
x = 0

Solved Problems

Question 1.
Calculate molecular mass of glucose (C6H12O6) molecule.
Solution:
Molecular mass of glucose (C6H12O6)
= 6(12.011 u) + 12(1.008 u) + 6(16.00.u)
= (72.066 u) + (12.096 u) + (96.00 u)
= 180.162 u

Question 2.
A compound contains 4.07% hydrogen, 24.27% carbon and 71.65% chlorine. Its molar mass is 98.96 g. What are its empirical and molecular formulae ?
Solution:
Step 1.
Conversion of mass per cent to grams :
Since we are having mass percent, it is convenient to use 100 g of the compound as the starting material. Thus, in the 100 g sample of the above compound, 4.07 g hydrogen; 24.27 g carbon; and 71.65 g chlorine are present.

Step 2.
Convertion into number of moles of each element:
Divide the masses obtained above by respective atomic masses of various elements.
Moles of hydrogen = \(\frac{4.07 \mathrm{~g}}{1.008 \mathrm{~g} \mathrm{~mol}^{-1}}\) = 4.04
Moles of carbon = \(\frac{24.27 \mathrm{~g}}{12.01 \mathrm{~g} \mathrm{~mol}^{-1}}\) = 2.021 Moles of chlorine = \(\frac{71.65 \mathrm{~g}}{35.453 \mathrm{~g} \mathrm{~mol}^{-1}}\) = 2.021

Step 3.
Divide the mole value obtained above by the smallest number:
Since 2.021 is smallest value, division by it gives a ratio of 2:1:1 for H:C:Cl.

In case the ratios are not whole numbers, then they may be converted into whole number by multiplying by the suitable coefficient.

Step 4.
These numbers indicate the relative number of atoms of the elements. Write empirical formula by mentioning the numbers after writing the symbols of respective elements :
CH2Cl is thus, the empirical formula of the above compound.

Step 5.
Writing molecular formula :

a) Determine empirical formula mass.
Add the atomic masses of various atoms present in the empirical formula.
For CH2Cl, empirical formula mass is 12.01 + 2 × 1.008 + 35.453 = 49.48 g

b) Divide Molar mass by empirical formula mass
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 59
= 2 = (n)

c) Multiply empirical formula by n obtained above to get the molecular formula.
Empirical formula = CH2Cl, n = 2. Hence molecular formula is C2H4Cl2.

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 3.
Calculate the amount of water (g) produced by the combustion of 16 g of methane.
Solution:
The balanced equation for combustion of methane is :
CH4(g) + 2O2(g) → CO2(g) + 2H2O(g)

  1. 16 g of CH4 corresponds to one mole.
  2. From the above equation, 1 mol of CH4(g) gives 2 mol of H2O(g).
    2 mol of water (H2O) = 2 × (2 + 16)
    = 2 × 18 = 36 g

1 mol H2O = 18g H2O ⇒ \(\frac{18 \mathrm{~g} \mathrm{H}_2 \mathrm{O}}{1 \mathrm{~mol} \mathrm{H}_2 \mathrm{O}}\) = 1
Hence 2 mol H2O × \(\frac{18 \mathrm{~g} \mathrm{H}_2 \mathrm{O}}{1 \mathrm{~mol} \mathrm{H}_2 \mathrm{O}}\)
= 2 × 18 g H2O = 36 g H2O

Question 4.
How many moles of methane are required to produce 22 g CO2(g) after combustion ?
Solution:
According to the chemical equation
CH4(g) + 2O2(g) → CO2(g) + 2H2O(g)
44 g CO2 (g) is obtained from 16 g CH4(g).
[∵ 1 mol CO2(g) is obtained from 1 mol of CH4(g)]
Mole of CO2(g)
= 22 g CO2(g) × \(\frac{1 \mathrm{~mol} \mathrm{CO}_2(\mathrm{~g})}{44 \mathrm{gCO}_2(\mathrm{~g})}\)
= 0.5 mol CO2(g)
Hence 0.5 mol CO2(g) would be obtained from 0.5 mol CH4(g) or 0.5 mol of CH4(g) would be required to produce 22g CO2(g).

Question 5.
50.0 kg of N2(g) anfd 10.0 kg of H2(g) are mixed to produce NH3(g). Calculate the NH3 (g) formed. Identify the limiting reagent in the production of NH3 in this situation.
Solution:
A balanced equation for the above reaction is written as follows :
Calculation of moles:
N2 + 3H2(g) ⇌ 2HN3(g)
Moles of N2
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 60

According to the above equation, 1 mol N2(g) requires 3 mol H2(g), for the reaction. Hence, for 17.86 × 102 mol N2, the moles of H2(g) required would be
17.86 × 102 mol N2 × \(\frac{3 \mathrm{~mol} \mathrm{H}_2(\mathrm{~g})}{1 \mathrm{molN}_2(\mathrm{~g})}\)
= 5.36 × 103 mol H2

But we have only 4.96 × 103 mol H2. Hence, dihydrogen is the limiting reagent in
this case. So NH3(g) would be formed only from that amount of available dihydrogen i.e.,
4.96 × 103 mol.
Since 3 mol H2(g) gives 2 mol NH3(g)
4.96 × 103 mol H2 (g) × \(\frac{2 \mathrm{~mol} \mathrm{NH}_3(\mathrm{~g})}{3 \mathrm{molH}_2(\mathrm{~g})}\)
= 3.30 × 103 mol NH3 (g)
3.30 × 103 mol NH3 (g) is obtained.

If they are to be converted to grams, it is done as follows :
1 mol NH3(g) = 17.0 g NH3(g)
3.30 × 103 mol NH3 (g) × \(\frac{17.0 \mathrm{~g} \mathrm{NH}_3(\mathrm{~g})}{1 \mathrm{~mol} \mathrm{NH}_3(\mathrm{~g})}\)
= 3.30 × 103 × 17 g NH3 (g)
= 56.1 × 103 g NH3 (g)
= 56.1 kg NH3

Question 6.
A solution ¡s prepared by adding 2 g of a substance A to 18 g water. Calculate the mass percent of the solute.
Solution:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 61

Question 7.
Calculate the molarity of NaOH in the solution prepared by dissolving 4 g in enough water to form 250 mL of the solution.
Solution:
Since molarity
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 62
Note that molarity of a solution depends upon temperature because volume of a solution is temperature dependent.

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 8.
The density of 3 M solution of NaCl is 1.25 g mL-1. Calculate molality of the solution.
Solution:
M = 3 mol L-1
Mass of NaCl in 1 L solution
= 3 × 58.5 = 175.5 g
Mass of
1 L solution = 1000 × 1.25 = 1250 g
(Since density = 1.25 gmL-1)
Mass of water of solution = 1250 – 175.5
= 1074.5 g = 1.0745 kg
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 63

Often in a chemistry laboratory, a solution of a desired concentration is prepared by diluting a solution of known higher concentration. The solution of higher concentration is also known as stock solution. Note that molality of a solution does not change with temperature since mass remains unaffeoted with temperature.

Question 9.
Calculte the normality of oxalic acid solutions containing 6.3g of H2C2O4.2H2O in 500 ml of solutions.
Solution:
Weight of solute = 6.3 g
GEW of solute = \(\frac{126}{2}\) = 63
∴ Normality (N) = \(\frac{\omega}{\mathrm{GEW}} \times \frac{1000}{\mathrm{~V}(\mathrm{~mL})}\)
Normality (N) = \(\frac{6.3}{63} \times \frac{1000}{500}\) = 0.2 N

Question 10.
Calculate the mass of Na2CO3 required to prepare 250 ml of 0.5 N solution.
Solution:
Normality of required solution = 0.5 N
Volume of required solution = 250 ml
Equivalent wt.of. Na2CO3 = \(\frac{106}{2}\) = 53
Normality (N) = \(\frac{\mathrm{W}}{\mathrm{GEW}} \times \frac{1000}{\mathrm{~V}(\mathrm{~mL})}\)
wt. of solute = N × GEW × \(\frac{V(\mathrm{ml})}{1000}\)
= 0.5 × 53 × \(\frac{250}{1000}\) = \(\frac{53}{8}\) = 6.62 g

Question 11.
In the reactions given below, identify the species undergoing oxidation and reduction :
(i) H2S (g) + Cl2 (g) → 2HC (g) + S (s)
(ii) 3Fe3O4 (s) + 8Al (s) → 9Fe (s) + 4Al2O3 (s)
(iii) 2Na (s) + H2 (g) → 2NaH (s)
Solution:
(i) H2S is oxidised because a more electronegative element, chlorine is added to hydrogen (or a more electropositive element, hydrogen has been removed from S). Chlorine is reduced due to addition of hydrogen to it.

(ii) Aluminium is oxidised because oxygen is added to it. Ferrous ferric oxide (Fe3O4) is reduced because oxygen has been removed from it.

(iii) This reaction is very interesting. It may be said from the above definitions that the reaction is only a reduction reaction as it involves the addition of sodium (electropositive metal) or hydrogen whereas sodium undergoes oxidation and hydrogen undergoes reduction. It is to say that the above definitions for oxidation and reduction can not explain this and they have limitations like this. Therefore a new concept has to be considered for the oxidation and the reduction.

Question 12.
Justify that the reaction :
2Na (s) + H2 (g) → 2NaH (s) is a redox change.
Solution:
Since in the above reaction the compound formed is an ionic compound, which may also be represented as Na+H (s), this suggests that one half reaction in this process is :
2Na (s) → 2Na+ (g) + 2e and the other half reaction is H2 (g) + 2e→ 2H (g)
This splitting of the reaction under examination into two half reactions automatically reveals that here sodium is oxidised and hydrogen is reduced, therefore, the complete reaction is a redox change.

Question 13.
Using stock notation, represent the following compounds : HAuCl4, Tl2O, FeO, Fe2O3, Cul, CuO, MnO and MnO2.
Solution:
By applying various rules of calculating the oxidation number of the desired element in a compound, the oxidation number of each metallic element in its compound is as follows:
HAuCl4 → Au has 3
Tl2O → Tl has 1
FeO → Fe has 2
Fe2O3 → Fe has 3
Cul → Cu has 1
CuO → Cu has 2
MnO → Mn has 2
MnO2 → Mn has 4
Therefore, these compounds may be represented as :
HAu (III) Cl4, Tl2(I)O, Fe(II)O, Fe2(III)O3, Cu(I)I, Cu(II)O, Mn(II)O, Mn(IV)O2.

Question 14.
Justify that the reaction :
2Cu2O(S) + Cu2S(s) → 6Cu(s) + SO2(g) is a redox reaction. Identify the species oxidised/reduced, which acts as an oxidant and which acts as a reductant.
Solution:
Let us assign oxidation number to each of the species in the reaction under examination. This results into :
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 64
We therefore, conclude that in this reaction copper is reduced from +1 state to zero oxidation state and sulphur is oxidised from -2 state to +4 state. The above reaction is thus a redox reaction.

Further, Cu2O helps sulphur in Cu2S to increase its oxidation number, therefore Cu (I) is an oxidant; and sulphur of Cu2S helps copper both in Cu2S itself and Cu2O to decrease its oxidation number ; therefore, sulphur of Cu2S is reductant.

Question 15.
Which of the following species, do not show disproportionation reaction and why ? ClO, Cl\(\mathrm{O}_2^{-}\), ClO3 and ClO4. Also write reaction for each of the species that disproportionates.
Solution:
Among the oxoanions of chlorine listed above, ClO4 does not disproportionate because in this oxoanion chlorine is present in its highest oxidation state that is, +7. The disproportionation reactions for the other three oxoanions of chlorine areas follows :
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 65

Question 16.
Suggest a scheme of classification of
the following redox reactions
(a) N2 (g) + O2 (g) → 2NO (g)
(b) 2Pb(NO3)2(s) → 2PbO(s) + 2NO2(g) + 1/2 O2(g)
(c) NaH(s) + H2O (l) → NaOH (aq) + H2(g)
(d) 2NO2(g) + 2OH(aq) → N\(\mathrm{O}_2^{-}\) (aq) + N\(\mathrm{O}_3^{-}\) (aq) + H2O(l)
Solution:
In reaction
(a) the compound nitric oxide is formed by the combination of the elemental substances, nitrogen and oxygen ; therefore, this is an example of combination redox reactions. The reaction.

(b) involves the breaking down of lead nitrate into three components, therefore, this is categorised under decomposition redox reaction. In reaction.

(c) hydrogen of water has been displaced by hydride ion into dihydrogen gas. There-fore, this may be called as displacement redox reaction.

(d) The reaction involves disproportionation of NO2 (+4 state) into NO2 (+3 state) and NO3 (+5 state). Therefore reaction (d) is an example of disproportionation redox reaction.

Question 17.
Why do the following reactiolns proceed differently ?
Pb3O4 + 8HCl → 3PbCl2 + Cl2 + 4H2O and
Pb3O4 + 4HNO3 → 2Pb(NO3)3 + PbO2 + 2H2O
Solution:
Pb3O4 is actually a stoichiometric mixture of 2 mol. of PbO and 1 mol. of PbO2. In PbO2, lead is present in +4 oxidation state, whereas the stable oxidation state of lead in PbO is +2. PbO2 thus can act as an oxidant (oxidising agent) and, therefore, can oxidise Cl ion of HCl into chlorine. We may also keep in mind that PbO is a basic oxide. Therefore, the reaction
Pb3O4 + 8HCl → 3PbCl2 + Cl2 + 4H2O can be splitted into two reactions namely :
2 PbO + 4HCl → 2PbCl2 + 2H2O (acid base reaction)
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 66

Question 18.
Write the net ionic equation for the reaction of potassium dichromate (VI) K2Cr2O7 with sodium sulphite, Na2SO3 in an acid solution to give chromium (III) ion and the sulphate ion.
Solution:
Step – 1 :
The skeletal ionic equation is :
Cr2\(\mathrm{O}_7^{2-}\) (aq) + S\(\mathrm{O}_3^{-2}\) (aq) → Cr3+ (aq) + S\(\mathrm{O}_4^{2-}\) (aq)

Step – 2 :
Assign oxidation numbers for Cr and S
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 67
This indicates that the dichromate ion is the oxidant (it oxidises sulphite ion to sulphate ion) and the sulphite ion is the reductant. (it reduces dichromate ion to chromium (III).

Step – 3 :
Calculate the increase and decrease of oxidation numbers of respective species and make them equal.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 68
As reduction is total 6 units due to two Cr3+ formed, oxidation also must be 6 units. This is obtained by multiplying S\(\mathrm{O}_3^{-2}\) with 3.

Step – 4 :
Adjust the coefficients of the products accordingly
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 69

Step – 5 :
a) Add H+ ions in acid medium or H2O molecules in basic medium in the required number to hydrogen atoms deficient side.
b) Add H2O molecules in acid medium or OH ions in basic medium in the required number to oxygen atoms diffident side, (a) and (b) may be repeated any number of times by hit and trial method until hydrogen and oxygen atoms are same in number on both the sides of the redox reaction.
The given reaction is in acid medium
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 70

AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry

Question 19.
Permanganate ion reacts with bromide ion in basic medium to give manganese dioxide and bromate ion. Write the balanced ionic equation for the reaction.
Solution:
Step – 1 : The skeletal ionic equation is :
Mn\(\mathrm{O}_4^{-}\) (aq) + Br (aq) → MnO2 (s) + Br\(\mathrm{O}_3^{-}\) (aq)

Step – 2 : Assign oxidation numbers for Mn and Br.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 71
This indicates that permanganate ion is the oxidant and bromide ion is the reductant.

Step – 3 :
Calculate the increase or decrease in the oxidation number per atom and for the entire molecule/ion in which it occurs. The number units of oxidations change must be equal to the number units of reduction change. If this is not observed then multiply the oxidising agent with the number of units of oxidation and the reducing agent with the number of units of reduction i.e., multiply oxidant MnO4 by 2 and reductant Br by I.
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 72
Know number of units oxidation number of units reduction.

Step – 4:
Adjust the coefficients of products accordingly.
2Mn\(\mathrm{O}_4^{-}\) (aq) + Br (aq) → 2MnO2 (s) + BrO3 (aq)

Step – 5 :
a) Add H+ ions in acid medium or H2O molecules in basic medium in the required number to hydrogen atoms deficient side.
b) Add H2O molecules in acid medium or OH ions in basic medium in the required number to oxygen atoms dificient side, (a) and (b) may be repeated any number of times by hit and trial method until hydrogen and oxygen atoms are same in number on both the sides of the redox reaction. This reaction is basic medium.
2Mn\(\mathrm{O}_4^{-}\) (aq) + Br (aq) + H2O (I)

  • 2MnO2 (s) + Br\(\mathrm{O}_3^{-}\) (aq) + 2OH (aq)

Question 20.
Permanganate (VII) ion, MnO4 in basic solution oxidises iodide ion. I to produce molecular iodine (I2) and manganese (IV) oxide (MnO2). Write a balanced ionic equation to represent this redox reaction.
Solution:
Step – 1 :
First we write the skeletal ionic equation, which is
Mn\(\mathrm{O}_4^{-}\) (aq) + I (aq) → MnO2 (s) + I2 (s)

Step – 2 :
The two half-reactions are :
-1        0
Oxidation half :
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 73
Reduction half : Mn\(\mathrm{O}_4^{-}\) (aq) → MnO2 (s)

Step – 3 :
To balance the I atoms in the oxidation half reaction, we rewrite it as:
2I (aq) → I2 (s)

Step – 4:
As the reaction takes place to basic medium, to balance the 0 atoms in the reduction half reaction, we add OH ions in required number.
Mn\(\mathrm{O}_4^{-}\) (aq) → MnO2 (s) + 2HO (I)
To balance the H atoms, we add two H2O molecules on the left.
Mn\(\mathrm{O}_4^{-}\) (aq) + 2H2O (aq) → MnO2 (s) + 2 HO (I)
Balance H and 0 atoms by bit and trial method even if it requires morethan once we haye to do it.
The resultant equation is :
Mn\(\mathrm{O}_4^{-}\) (aq) + 2H2O (I) → MnO2 (s) + 4OH (aq)
Note : While balanceing H atom 0 atoms do not disturb the coefficients of other species (oxidant and reduCtant and the products).

Step-5 :
In this step we balance the charges of the two half-reactions in the manner depicted as:
2I (aq) → I2 (s) + 2e
Mn\(\mathrm{O}_4^{-}\) (aq) + 2H2O (I) + 3e → MnO2 (s) + 4OH (aq)

Now to equalise the number of electrons, in the two half reactions we multiply the oxidation hatf-reaction by 3 and the reduction half-reaction by 2.
6I (aq) → 3I2 (s) + 6e
2MnO4 (aq) + 4H4O (I) + 6e → 2MnO2 (s) + 8OH(aq)

Step-6:
Add two half-reactions to obtain the net reaction and canceel the electrons on both sides.
6I (aq) + 2Mn\(\mathrm{O}_4^{-}\) (aq) + 4H2O (I) → 3I2 (s) + 2MnO2 (s) + 8 OH (aq)

Step – 7:
A final verification shows that the equation is balanced in respect of the number of atoms and charges on both sides.

Question 21.
Calculate the normality of H2So4 solution. If 50 ml of it completely neutralised 250 ml of 0.2 N sodium hydroxide (NaoH) solution.
Answer:
AP Inter 1st Year Chemistry Study Material Chapter 5 Stoichiometry 74
∴ Normality of H2So4 solution = 1 N.