CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • 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?

    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 :

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


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