AFMC AFMC Solved Paper-2006

  • question_answer
    Solubility product of \[\text{PbC}{{\text{l}}_{\text{2}}}\]at 298 K is \[\text{1}\times {{10}^{-6}}.\]At this temperature solubility of \[\text{PbC}{{\text{l}}_{\text{2}}}\]in mol/L is :

    A) \[{{(1\times {{10}^{-6}})}^{1/2}}\]                           

    B) \[{{(1\times {{10}^{-6}})}^{1/3}}\]

    C) \[{{(0.25\times {{10}^{-6}})}^{1/3}}\]     

    D) \[{{(0.25\times {{10}^{-6}})}^{1/2}}\]

    Correct Answer: C

    Solution :

    \[PbC{{l}_{2}}\underset{s}{\mathop{P{{b}^{2+}}}}\,+\underset{2s}{\mathop{2C{{l}^{-}}}}\,\] \[{{K}_{SP}}=(s){{(2s)}^{2}}\] \[1\times {{10}^{-6}}=4{{s}^{3}}\] \[s={{\left( \frac{1}{4}\times {{10}^{-6}} \right)}^{1/3}}\] \[={{(0.25\times {{10}^{-6}})}^{1/3}}\]


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