JEE Main & Advanced Sample Paper JEE Main - Mock Test - 4

  • question_answer
    In the hydrolytic equilibrium, \[{{A}^{-}}+{{H}_{2}}O\rightleftharpoons HA+O{{H}^{-}}\]  \[{{K}_{a}}=1.0\times {{10}^{-5}}.\] The degree of hydrolysis of a 0.001 M solution of the salt is

    A) \[{{10}^{-2}}\]           

    B) \[{{10}^{-3}}\]

    C) \[{{10}^{-4}}\]                       

    D) \[{{10}^{-5}}\]

    Correct Answer: B

    Solution :

    [b]: Degree of hydrolysis, \[h=\sqrt{\frac{{{K}_{w}}}{{{K}_{a}}.c}}\] \[=\sqrt{\frac{1\times {{10}^{-14}}}{1\times {{10}^{-5}}\times 0.001}}=\sqrt{\frac{1\times {{10}^{-14}}}{1\times {{10}^{-5}}\times 1\times {{10}^{-3}}}}\] \[=\sqrt{{{10}^{-\,6}}}={{10}^{-\,3}}\]


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