JIPMER Jipmer Medical Solved Paper-2008

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

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

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

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

    D)         \[{{(2.5\times {{10}^{-6}})}^{1/2}}\]

    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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