JCECE Medical JCECE Medical Solved Paper-2015

  • question_answer
    The solubility product of \[\text{A}{{\text{g}}_{\text{2}}}\text{Cr}{{\text{O}}_{\text{4}}}\]is \[32\times {{10}^{-12}}.\]What is the concentration of \[CrO_{4}^{-}\]ions in that solution?

    A)  \[2\times {{10}^{-4}}M\]

    B)  \[16\times {{10}^{-4}}M\]

    C)  \[8\times {{10}^{-4}}M\]

    D)  \[8\times {{10}^{-8}}M\]

    Correct Answer: A

    Solution :

     \[A{{g}_{2}}Cu{{O}_{4}}\xrightarrow{{}}\underset{2S}{\mathop{2A{{g}^{+}}}}\,+\underset{S}{\mathop{CrO_{4}^{2-}}}\,\] \[\therefore \] \[{{K}_{sp}}={{(2S)}^{2}}\times S=4{{S}^{3}}\] or \[S={{\left( \frac{{{K}_{sp}}}{4} \right)}^{1/3}}={{\left( \frac{32\times {{10}^{-12}}}{4} \right)}^{1/3}}\] \[S=2\times {{10}^{-4}}M\]


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