RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008

  • question_answer
    The solubility in water of a sparingly soluble salt \[A{{B}_{2}}\] is\[1.0\times {{10}^{-5}}mol\,\,{{L}^{-1}}\]. Its solubility product number will be

    A) \[4\times {{10}^{-15}}\]               

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

    C)        \[1\times {{10}^{-15}}\]               

    D)        \[1\times {{10}^{-10}}\]

    Correct Answer: A

    Solution :

    \[A{{B}_{2}}\underset{S}{\mathop{{{A}^{2+}}}}\,+\underset{2S}{\mathop{2{{B}^{-}}}}\,\]                 \[{{K}_{sp}}=[{{A}^{2+}}]{{[{{B}^{-}}]}^{2}}\]                 \[=(S){{(2S)}^{2}}=4{{S}^{3}}\]                 \[=4{{(1\times {{10}^{-5}})}^{3}}\]                 \[=4\times {{10}^{-15}}\]


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