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JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Hydrogenion concentration pH scale and buffer solution

  • question_answer
    Given that the dissociation constant for \[{{H}_{2}}O\] is \[{{K}_{w}}=1\times {{10}^{-14}}\] \[mol{{e}^{2}}\,\,litr{{e}^{-2}},\] what is the \[HCl\] of a \[0.001\,\,molar\,\,KOH\]solution [MP PET 1995; MP PET/PMT 1998]

    A)                 \[{{10}^{-11}}\]

    B)                 3

    C)                 14          

    D)                 11

    Correct Answer: D

    Solution :

               0.001 M KOH solution                    \[[O{{H}^{-}}]=0.001\,M=1\times {{10}^{-3}}M\]                    \[[{{H}^{+}}]\times [O{{H}^{-}}]=1\times {{10}^{-14}}\]                    \[[{{H}^{+}}]=\frac{1\times {{10}^{-14}}}{[O{{H}^{-}}]}\]                    \[[{{H}^{+}}]=\frac{1\times {{10}^{-14}}}{1\times {{10}^{-3}}}\]\[=1\times {{10}^{-14}}\times {{10}^{+3}}\]                    \[[{{H}^{+}}]={{10}^{-11}}\]M                                 \[pH=11\]


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