BHU PMT BHU PMT (Mains) Solved Paper-2011

  • question_answer
    What is the solubility of calcium fluoride in a saturated solution if its solubility product is\[3.2\times {{10}^{-11}}\]?

    A) \[2.0\times {{10}^{-4}}mol/L\]  

    B)  \[2\times {{10}^{-3}}mol/L\]

    C)  \[4.0\times {{10}^{-4}}mol/L\] 

    D)  \[8\times {{10}^{-3}}mol/L\]

    Correct Answer: A

    Solution :

    Sol.         \[Ca{{F}_{2}}\xrightarrow{{}}\underset{s}{\mathop{C{{a}^{2+}}}}\,+\underset{s}{\mathop{2{{F}^{-}}}}\,\] \[{{K}_{sp}}=(s){{(2s)}^{2}}-4{{s}^{3}}\] \[S={{\left( \frac{{{K}_{sp}}}{4} \right)}^{1/3}}={{\left( \frac{3.2\times {{10}^{-11}}}{4} \right)}^{1/3}}\]                 \[=2\times {{10}^{-4}}mol/L\]


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