AIIMS AIIMS Solved Paper-2011

  • question_answer
    The solubility product of a salt having general formula \[M{{X}_{2}},\] in water is \[4\times {{10}^{-12}},\]The concentration of \[{{M}^{2+}}\] ions in the aqueous solution of the salt is

    A)  \[4.0\times {{10}^{-10}}M\]   

    B)         \[1.6\times {{10}^{-4}}M\]

    C)                         \[1.0\times {{10}^{-4}}M\]     

    D)         \[2.0\times {{10}^{-6}}M\]

    Correct Answer: C

    Solution :

    \[M{{X}_{2}}{{\underset{s}{\mathop{M}}\,}^{2+}}+\underset{2s}{\mathop{2{{X}^{-}}}}\,\] \[{{K}_{sp}}=[{{M}^{2+}}]{{[{{X}^{-}}]}^{2}}\] If solubility be s then \[{{K}_{sp}}=(s){{(2s)}^{2}}=4{{s}^{3}}\] \[4{{s}^{2}}=4\times {{10}^{-12}}\] \[\therefore \]   \[s=1\times {{10}^{-4}}M\] \[\therefore \]  \[{{M}^{2+}}=s=1\times {{10}^{-4}}M\]


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