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

  • question_answer At \[{{20}^{o}}C,\] the \[A{{g}^{+}}\]ion concentration in a saturated solution of \[A{{g}_{2}}Cr{{O}_{4}}\] is\[1.5\times {{10}^{-4}}\,mole/litre.\] At \[{{20}^{o}}C,\]the solubility product of \[A{{g}_{2}}Cr{{O}_{4}}\] would be [MP PET 1997; MP PMT 1999]

    A)                 \[3.3750\times {{10}^{-12}}\]     

    B)                 \[1.6875\times {{10}^{-10}}\]

    C)                 \[1.6875\times {{10}^{-12}}\]     

    D)                 \[1.6875\times {{10}^{-11}}\]

    Correct Answer: C

    Solution :

               \[AgCr{{O}_{4}}\]⇌ \[\underset{{{(2S)}^{2}}}{\mathop{2A{{g}^{+}}}}\,+\underset{S\,\,\,}{\mathop{CrO_{4}^{-}}}\,\]                    \[{{K}_{sp}}=4{{S}^{3}}\] given \[2S=1.5\times {{10}^{-4}}\]                    \[\therefore \,{{K}_{sp}}={{(2S)}^{2}}\times S\]                                 \[={{(1.5\times {{10}^{-4}})}^{2}}\times \left( \frac{1.5\times {{10}^{-4}}}{2} \right)\] \[=1.6875\times {{10}^{-12}}\]


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