JEE Main & Advanced Chemistry Equilibrium Question Bank Common ion effect, Isohydric solutions, Solubility product, Ionic product of water and salt hydrolysis

  • question_answer What is the solubility of calcium fluoride in a saturated solution, if its solubility product is \[3.2\times {{10}^{-11}}\] [CPMT 1997]

    A)                 \[2.0\times {{10}^{-4}}\,mole/litre\]      

    B)                 \[12.0\times {{10}^{-3}}\,mole/litre\]

    C)                 \[0.2\times {{10}^{-4}}\,mole/litre\]      

    D)                 \[2\times {{10}^{-3}}\,mole/litre\]

    Correct Answer: A

    Solution :

      \[\underset{S}{\mathop{Ca{{F}_{2}}}}\,\]⇌\[\underset{S\,\,\,}{\mathop{C{{a}^{++}}}}\,+\underset{{{(2S)}^{2\,\,\,}}}{\mathop{2{{F}^{-}}}}\,\]                    \[{{K}_{sp}}=4{{S}^{3}}\]                                 \[S=\sqrt[3]{\frac{{{K}_{sp}}}{4}}\] \[=\sqrt[3]{\frac{3.2\times {{10}^{-11}}}{4}}\] \[=2\times {{10}^{-4}}\]m/l.

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