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

  • question_answer The solubility product of a salt having general formula \[M{{X}_{2}},\] in water is: \[4\times {{10}^{-12}}\]. The concentration of \[{{M}^{2+}}\] ions in the aqueous solution of the salt is             [AIEEE 2005]

    A)                 \[2.0\times {{10}^{-6}}M\]          

    B)                 \[1.0\times {{10}^{-4}}M\]

    C)                 \[1.6\times {{10}^{-4}}M\]          

    D)                 \[4.0\times {{10}^{-10}}M\]

    Correct Answer: B

    Solution :

               \[M{{X}_{2}}\] ⇌ \[\underset{S\,\,\,\,\,\,}{\mathop{{{M}^{2+}}}}\,+\underset{2S\,\,\,}{\mathop{2{{X}^{-}}}}\,\] \[{{K}_{sp}}={{(2S)}^{2}}(S)=4{{S}^{3}}\] Þ  \[S=2\,\,\sqrt[3]{\frac{{{K}_{sp}}}{4}}=\sqrt[3]{\frac{4\times {{10}^{-12}}}{4}}=1.0\times {{10}^{-4}}M\].

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