KVPY Sample Paper KVPY Stream-SX Model Paper-24

  • question_answer
    Conductivity of a saturated solution of a sparingly soluble salt AB at 298 K is \[1.85\times {{10}^{-6}}S{{m}^{-1}}\]. Solubility product of the salt AB at 298 K is \[\left[ gievn,\Delta _{m}^{o}\left( AB \right)=140\times {{10}^{-4}}S{{m}^{-2}}mo{{l}^{-1}} \right]\]

    A) \[5.7\times {{10}^{-12}}\]

    B) \[1.32\times {{10}^{-12}}\]

    C) \[7.5\times {{10}^{-12}}\]

    D) \[1.74\]

    Correct Answer: D

    Solution :

    \[\Lambda _{m}^{o}=\frac{k\times 1000}{S}\]
    \[S=\frac{k\times 1000}{\Lambda _{m}^{o}}\]
    \[=\frac{1.85\times {{10}^{-6}}\times 1000}{140\times {{10}^{-4}}}=1.321M\] \[AB{{A}^{+}}+{{B}^{-}}\]
    \[{{K}_{sp}}=\left[ {{A}^{+}} \right]\left[ {{B}^{-}} \right]={{S}^{2}}={{(1.321)}^{2}}\]
    \[=1.74mo{{l}^{2}}{{L}^{-2}}\]


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