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

  • question_answer Solubility of a salt \[{{M}_{2}}{{X}_{3}}\] is  \[y\,\,mol\,d{{m}^{-3}}.\] The solubility product of the salt will be  [IIT 1990, 97; AFMC 1991; RPMT 1999;  MP PET 2001;  MP PMT 2003; Orissa JEE 2005]

    A)                 \[6{{y}^{4}}\]    

    B)                 \[64{{y}^{4}}\]

    C)                 \[36{{y}^{5}}\]  

    D)                 \[108{{y}^{5}}\]

    Correct Answer: D

    Solution :

    \[\underset{{{K}_{sp}}}{\mathop{{{M}_{2}}{{X}_{3}}}}\,\]⇌\[\underset{{{(2y)}^{2}}}{\mathop{2{{M}^{+++}}}}\,\]+\[\underset{{{(3y)}^{3}}}{\mathop{3{{X}^{--}}}}\,\]                                 Solubility product \[{{K}_{sp}}=108{{y}^{5}}\,mol\frac{d}{{{m}^{3}}}\]

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