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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
    Slaked lime,\[Ca{{(OH)}_{2}}\]is used extensively in sewage treatment. What is the maximum pH that can be established in\[Ca{{(OH)}_{2}}(aq)\]? \[Ca{{(OH)}_{2}}(s)C{{a}^{2+}}(aq)+2O{{H}^{-}}(aq);\]\[{{K}_{sp}}=5.5\times {{10}^{-6}}\]

    A)  1.66                      

    B)  12.35

    C)  7                            

    D)  14

    Correct Answer: B

    Solution :

                    \[{{K}_{sp}}=5.5\times {{10}^{-6}}\] \[Ca{{(OH)}_{2}}C{{a}^{2+}}+2O{{H}^{-}}\] \[\therefore \] \[{{K}_{sp}}=[C{{a}^{2+}}]{{[O{{H}^{-}}]}^{2}}=5.5\times {{10}^{-6}}\] \[\Rightarrow \]               \[4{{s}^{3}}=5.5\times {{10}^{-6}}\] \[\Rightarrow \]               \[s=0.0111\] \[\therefore \]  \[[O{{H}^{-}}]=2s=0.0111\times 2=0.0222\]                 \[pOH=1.65\]                 \[pH=14-1.65=12.35\]


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