Equilibrium Question 411

Question: When 10 ml of 0.1 M acetic acid $ (pK_{a}=5.0) $ is titrated against 10 ml of 0.1M ammonia solution $ (pK_{b}=5.0) $ , the equivalence point occurs at pH [AIIMS 2005]

Options:

A) 5.0

B) 6.0

C) 7.0

D) 9.0

Show Answer

Answer:

Correct Answer: C

Solution:

pKa = - log Ku, pKb = - log Kb pH = $ -\frac{1}{2}[\log K_{a}+\log K_{w}-\log K_{b}] $

$ =-\frac{1}{2}[-5+\log (1\times {10^{-14}})-(-5)] $

$ =-\frac{1}{2}[-5-14+5]=-\frac{1}{2}(-14)=7 $



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