JCECE Engineering JCECE Engineering Solved Paper-2007

  • 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 \[mol/L\] 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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