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NCERT Class XI Chemistry Equilibrium Solutions

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Question : 64 of 73
Marks: +1, -0
The ionization constant of chloroacetic acid is 1.35 × 10310^{-3}. What will be the pH of 0.1 M acid and its 0.1 M sodium salt solution?
Solution:  
pH of acid solution
[H+][H^{+}] = Ka×C\sqrt{K_a \times C}
KaK_a = 1.35 × 10310^{-3} , C = 0.1 M
[H+][H^{+}] = 1.35×103×0.1\sqrt{1.35 \times 10^{-3} \times 0.1} = 1.35×104\sqrt{1.35 \times 10^{-4}} = 1.16 × 10210^{-2}
pH = – log [H+][H^{+}] = – log(1.16 × 10210^{-2}) = 2 – 0.064 = 1.936
pH of 0.1 M sodium salt solution
Sodium salt of chloroacetic acid is salt of weak acid and strong base.
Hence,
pH = 12[pKw+pKa+logC]\frac{1}{2}[pK_w+pK_a+\log C]
KaK_a = 1.35 × 10310^{-3}
pKapK_a = - log KaK_a = - log (1.35 × 10310^{-3}) = - (0.1303 - 3) = 2.8697
pKwpK_w = - log 101410^{-14} = 14
C = 0.1 M , log C = log (0.1) = - 1 ⇒ pH = 12\frac{1}{2} [14 + 2.8697 - 1] = 7.935
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