AIIMS AIIMS Solved Paper-2010

  • question_answer
    If the concentration of \[CrO_{4}^{2-}\] ions in a saturated solution of silver chromate is \[2\times {{10}^{-4}}M\], the solubility product of silver chromate would be

    A) \[32\times {{10}^{-12}}\]      

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

    C)        \[16\times {{10}^{-12}}\]      

    D)        \[8\times {{10}^{-8}}\]

    Correct Answer: A

    Solution :

    \[A{{g}_{2}}Cr{{O}_{4}}(s)\underset{2s}{\mathop{2A{{g}^{+}}}}\,+CrO_{4}^{2-}\] Given, \[[CrO_{4}^{2-}]=s=2\times {{10}^{-4}}\] \[\therefore \]  \[[A{{g}^{+}}]=2s=2\times 2\times {{10}^{-4}}\] \[=4\times {{10}^{-4}}\] \[{{K}_{sp}}={{[A{{g}^{+}}]}^{2}}[CrO_{4}^{2-}]\] \[={{[4\times {{10}^{-4}}]}^{2}}[2\times {{10}^{-4}}]\] \[=32\times {{10}^{-12}}\]


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