1. Tardigrade
  2. Question
  3. Chemistry
  4. At a certain temperature, the dissociation constants of formic acid and acetic acid are 1.8× 10-4 and 1.8× 10-5 respectively. The concentration of acetic acid solution in which the hydrogen ion has the same concentration as in 0.001 M formic acid solution is equal to

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Q. At a certain temperature, the dissociation constants of formic acid and acetic acid are $ 1.8\times {{10}^{-4}} $ and $ 1.8\times {{10}^{-5}} $ respectively. The concentration of acetic acid solution in which the hydrogen ion has the same concentration as in 0.001 M formic acid solution is equal to

KEAMKEAM 2009Equilibrium

Solution:

$ [{{H}^{+}}]={{K}_{a}}.C $
Given, $ {{[{{H}^{+}}]}_{HCOOH}}={{[{{H}^{+}}]}_{C{{H}_{3}}COOH}} $
$ {{K}_{a}}.C=K_{a}^{}C $
$ \Rightarrow $ $ 1.8\times {{10}^{-4}}\times 0.001=1.8\times {{10}^{-5}}\times C $
$ \therefore $ $ C=0.01\,M $