NCERT Class XI Chemistry Equilibrium Solutions

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Question : 64
Total: 73
The ionization constant of chloroacetic acid is 1.35 × 103. What will be the pH of 0.1 M acid and its 0.1 M sodium salt solution?
Solution:  
pH of acid solution
[H+] = Ka×C
Ka = 1.35 × 103 , C = 0.1 M
[H+] = 1.35×103×0.1 = 1.35×104 = 1.16 × 102
pH = – log [H+] = – log(1.16 × 102) = 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 =
1
2
[pKw+pKa+logC]

Ka = 1.35 × 103
pKa = - log Ka = - log (1.35 × 103) = - (0.1303 - 3) = 2.8697
pKw = - log 1014 = 14
C = 0.1 M , log C = log (0.1) = - 1 ⇒ pH =
1
2
[14 + 2.8697 - 1] = 7.935
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