A) \[2\times {{10}^{-4}}M\]
B) \[5.7\times {{10}^{-5}}M\]
C) \[5.7\times {{10}^{-6}}M\]
D) \[3.2\times {{10}^{-11}}\]
Correct Answer: A
Solution :
For saturated solution of\[A{{g}_{2}}Cr{{O}_{4}}\], if solubility is \[s\]\[mo{{l}^{-1}}\,\,{{L}^{-1}}\].Then \[A{{g}_{2}}Cr{{O}_{4}}2\underset{2s}{\mathop{A{{g}^{+}}}}\,(aq)+CrO_{4}^{2-}(aq)\] \[{{K}_{sp}}={{(2s)}^{2}}(s)=4{{s}^{3}}\] \[{{K}_{sp}}=3.2\times {{10}^{-11}}\](given) \[\therefore \]\[3.2\times {{10}^{-11}}=4{{s}^{3}}\] \[{{s}^{3}}=\frac{3.2\times {{10}^{-11}}}{4}=8\times {{10}^{-12}}\] \[\therefore \] \[s=\sqrt{8\times {{10}^{-12}}}=2\times {{10}^{-4}}M\]
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