JEE Main & Advanced Chemistry Equilibrium Question Bank Common ion effect, Isohydric solutions, Solubility product, Ionic product of water and salt hydrolysis

  • question_answer What is the minimum concentration of \[SO_{4}^{2-}\] required to precipitate \[BaS{{O}_{4}}\] in a solution containing \[1.0\times {{10}^{-4}}mol\,\,\,B{{a}^{2+}}\]? (\[{{K}_{sp}}\]for \[BaS{{O}_{4}}\] is \[4\times {{10}^{-10}}\]) [MP PMT 2000]

    A)                 \[4\times {{10}^{-10}}M\]           

    B)                 \[2\times {{10}^{-7}}M\]

    C)                 \[4\times {{10}^{-6}}M\]             

    D)                 \[2\times {{10}^{-3}}M\]

    Correct Answer: C

    Solution :

               \[BaS{{O}_{4}}\]⇌\[B{{a}^{2+}}+SO_{4}^{2-}\]                    \[{{K}_{sp}}={{S}^{2}}\Rightarrow S=\sqrt{{{K}_{sp}}}\];\[{{K}_{sp}}=[B{{a}^{2+}}]\times [SO_{4}^{2-}]\]                    \[4\times {{10}^{-10}}=[1\times {{10}^{-4}}]\times [SO_{4}^{2-}]\]                                 \[[SO_{4}^{2-}]=\frac{4\times {{10}^{-10}}}{1\times {{10}^{-4}}}=4\times {{10}^{-6}}\].


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