JCECE Engineering JCECE Engineering Solved Paper-2005

  • question_answer
    A saturated solution of\[Ca{{F}_{2}}\]is\[2\times {{10}^{-4}}mol/L\]. Its solubility product constant is:

    A) \[2.6\times {{10}^{-9}}\]                              

    B) \[4\times {{10}^{-8}}\]

    C)  \[8\times {{10}^{-12}}\]                              

    D)  \[3.2\times {{10}^{-11}}\]

    Correct Answer: D

    Solution :

    Key Idea: Write reaction for dissociation of \[Ca{{F}_{2}}\] and then find relationship between \[{{K}_{sp}}\] and solubility.                 \[Ca{{F}_{2}}C{{a}^{2+}}+2{{F}^{-}}\] Given solubility of\[Ca{{F}_{2}}=2\times {{10}^{-4}}mol\,\,{{L}^{-1}}\] \[\therefore \]  \[[C{{a}^{2+}}]=2\times {{10}^{-4}}mol\,\,{{L}^{-1}}\]                 \[[{{F}^{-}}]=2\times 2\times {{10}^{-4}}mol\,\,{{L}^{-1}}\]                 \[{{K}_{sp}}=[C{{a}^{2+}}]{{[{{F}^{-}}]}^{2}}\]                 \[=(2\times {{10}^{-4}}){{(2\times 2\times {{10}^{-4}})}^{2}}\]                 \[=32\times {{10}^{-12}}\]                 \[=3.2\times {{10}^{-11}}\]


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