RAJASTHAN PMT Rajasthan - PMT Solved Paper-2000

  • question_answer
    Of the solubility product \[{{K}_{sp}}\] of a sparingly soluble salt \[A{{X}_{2}}\] at \[{{25}^{o}}C\]is  \[1\times {{10}^{-11}}\]. The solubility of the salt in mole \[litr{{e}^{-1}}\]at this temperature will be:

    A)  \[1.20\times {{10}^{-10}}\]

    B)  \[1.36\times {{10}^{-4}}\]

    C)  \[2.60\times {{10}^{-7}}\]

    D)  \[2.46\times {{10}^{14}}\]

    Correct Answer: B

    Solution :

    \[A{{X}_{2}}{{A}^{2+}}+2{{X}^{-}}\] \[{{K}_{sp}}=(s)\,{{(2s)}^{2}}=4{{s}^{3}}\] \[s={{\left( \frac{{{K}_{sp}}}{4} \right)}^{1/3}}\] \[={{\left( \frac{1.0\times {{10}^{-11}}}{4} \right)}^{1/3}}\]


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