JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The solubility product of \[\text{s}{{\text{p}}^{3}}{{d}^{2}},\]is\[\text{s}{{\text{p}}^{3}}{{d}^{2}}\]. What is the solubility of \[{{\text{C}}_{\text{2}}}{{\text{H}}_{\text{2}}}\]?

    A)  \[C{{H}_{3}}Br+Na\to \]

    B)  \[C{{H}_{3}}CHO\xrightarrow{HCN}A\xrightarrow{HOH}B\]

    C)  \[\text{Pb}+\text{Zn}+\text{Sn}\]

    D)  \[\text{Pb}+\text{Zn}\]

    Correct Answer: A

    Solution :

                    \[\underset{5\,mol/litere}{\mathop{A{{s}_{2}}{{S}_{3}}}}\,\underset{2s}{\mathop{2A{{s}^{3+}}}}\,+\underset{3s}{\mathop{3{{S}^{2-}}}}\,\] \[\therefore \]  \[{{K}_{sp}}={{[A{{s}^{3+}}]}^{2}}{{[{{S}^{2-}}]}^{3}}\] \[={{(2s)}^{2}}{{(3s)}^{3}}\] \[=108{{s}^{5}}\] \[\therefore \]  \[s=\sqrt[5]{\frac{{{K}_{sp}}}{108}}\,or\,{{\left( \frac{{{K}_{sp}}}{108} \right)}^{\frac{1}{5}}}\] \[=\sqrt[5]{\frac{2.8\times {{10}^{-72}}}{108}}\] \[=\sqrt[5]{25.93\times {{10}^{-75}}}\] \[=1.92\times {{10}^{-15}}mole/litre\]


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