CMC Medical CMC-Medical VELLORE Solved Paper-2011

  • question_answer
    For which of the following sparingly soluble salt, the solubility (s) and solubility product (Kgp) are related by the expression\[s={{({{K}_{sp}}\text{/}4)}^{1/3}}\]?

    A)  \[BaS{{O}_{4}}\]                             

    B)  \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\]

    C)  \[H{{g}_{2}}C{{l}_{2}}\]                

    D)  \[A{{g}_{3}}P{{O}_{4}}\]

    E)  \[CuS\]

    Correct Answer: C

    Solution :

                    \[H{{g}_{2}}C{{l}_{2}}\rightleftharpoons \underset{s}{\mathop{Hg_{2}^{2+}}}\,+\underset{s}{\mathop{2C{{l}^{-}}}}\,\] \[{{K}_{sp}}=[Hg_{2}^{2+}]\,{{[C{{l}^{-}}]}^{2}}\] \[=(s)\,{{(2s)}^{2}}\] \[{{K}_{sp}}=4{{s}^{3}}\] \[s={{\left( \frac{{{K}_{sp}}}{4} \right)}^{1/3}}\]


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