Punjab Medical Punjab - MET Solved Paper-2006

  • question_answer
    The solubility product of \[AgCl\] is \[4.0\times {{10}^{-10}}\] at\[298K\]. The solubility of \[AgCl\] in \[0.04\,\,M\,\,CaC{{l}_{2}}\] will be:

    A) \[5.0\times {{10}^{-9}}M\]                          

    B) \[2.0\times {{10}^{-5}}M\]

    C) \[2.2\times {{10}^{-4}}M\]                          

    D) \[1.0\times {{10}^{-4}}M\]

    Correct Answer: A

    Solution :

    In\[CaC{{l}_{2}}\],\[[C{{l}^{-}}]=2\times 0.004=0.008mol\,\,{{L}^{-1}}\]\[[C{{l}^{-}}]\] from \[AgCl\] is too small and is neglected                 \[{{k}_{sp}}=[A{{g}^{+}}][C{{l}^{-}}]\]                 \[4\times {{10}^{-10}}=[A{{g}^{+}}]\times 0.08\]                 \[[A{{g}^{+}}]=\frac{4\times {{10}^{-10}}}{0.08}\]                 \[=\frac{4}{8}\times {{10}^{-8}}\]                 \[=5.0\times {{10}^{-9}}M\]


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