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 \[A{{g}_{2}}Cr{{O}_{4}}\]is \[32\times {{10}^{-12}}\]. What is the concentration of \[CrO_{4}^{-}\] ions in that solution [BHU 1997; DPMT 2004]

    A)                 \[2\times {{10}^{-4}}\,m/s\]      

    B)                 \[16\times {{10}^{-4}}\,m/s\]

    C)                 \[8\times {{10}^{-4}}\,m/s\]      

    D)                 \[8\times {{10}^{-8}}\,m/s\]

    Correct Answer: A

    Solution :

               \[\underset{S}{\mathop{AgCr{{O}_{4}}}}\,\to \underset{2S}{\mathop{2A{{g}^{+}}}}\,+\underset{S}{\mathop{Cr{{O}_{4}}^{-\,\,-}}}\,\]                    \[{{K}_{sp}}={{(2S)}^{2}}S=4{{S}^{3}}\]                                 \[S={{\left( \frac{{{K}_{sp}}}{4} \right)}^{\frac{1}{3}}}\]\[={{\left( \frac{32\times {{10}^{-12}}}{4} \right)}^{\frac{1}{3}}}\] \[=2\times {{10}^{-4}}\]M.

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