MGIMS WARDHA MGIMS WARDHA Solved Paper-2007

  • question_answer
    The solubility product of\[Mg{{(OH)}_{2}}\]at\[25{}^\circ C\]is \[1.4\times {{10}^{-11}}\]. What is the solubility of\[Mg{{(OH)}^{2}}\]in g/L?

    A)  0.0047 g/L          

    B)  0.047 g/L

    C)  0.0087 g/L          

    D)  0.087 g/L

    Correct Answer: C

    Solution :

                     \[Mg{{(OH)}_{2}}M{{g}^{2+}}+2O{{H}^{-}}\] \[{{K}_{sp}}=[M{{g}^{2+}}]{{[O{{H}^{-}}]}^{2}}\] \[1.4\times {{10}^{-11}}=(s){{(2s)}^{2}}\] \[1.4\times {{10}^{-11}}=4{{s}^{3}}\] \[s=1.5\times {{10}^{-4}}mol/L\] (\[\because \]Mol. wt. of\[Mg{{(OH)}_{2}}=52\]) \[=58\times 1.5\times {{10}^{-4}}\] \[=0.0087\text{ }g/L\]


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