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

  • question_answer
    The \[{{K}_{sp}}\] of \[Mg{{(OH)}_{2}}\] is \[1\times {{10}^{-12}},\,0.01M\,Mg{{(OH)}_{2}}\] will precipitate at the limiting pH          [DPMT 2005]

    A)                 3             

    B)                 9

    C)                 5             

    D)                 8

    Correct Answer: B

    Solution :

               \[Mg{{(OH)}_{2}}\] ⇌ \[M{{g}^{2+}}+2O{{H}^{-}}\]                    \[{{K}_{sp}}=[M{{g}^{2+}}]{{[O{{H}^{-}}]}^{2}}\]                    \[1\times {{10}^{-12}}=0.01\,{{[O{{H}^{-}}]}^{2}}\]                    \[{{[O{{H}^{-}}]}^{2}}=1\times {{10}^{-10}}\] \[\Rightarrow [O{{H}^{-}}]={{10}^{-5}}\]                    \[[{{H}^{+}}]={{10}^{-14}}/{{10}^{-5}}={{10}^{9}}\]                                 \[pH=-\log [{{H}^{+}}]=-\log [{{10}^{-9}}]=9\]


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