A) \[28.3\times {{10}^{-2}}g\]
B) \[28.3\times {{10}^{-3}}g\]
C) \[1.0\times {{10}^{-7}}g\]
D) \[1.0\times {{10}^{-4}}g\]
Correct Answer: A
Solution :
[a] \[AgI{{O}_{3(s)}}\rightleftharpoons A{{g}^{+}}_{(aq)}+I{{O}_{3(aq)}}^{-}\] Let the solubility of \[AgI{{O}_{3}}\]be S \[{{K}_{sp}}=[A{{g}^{+}}][I{{O}_{3}}^{-}]\] \[{{K}_{sp}}=S\times S\] Or \[S=\sqrt{{{K}_{sp}}}\] \[S=\sqrt{1.0\times {{10}^{-8}}}=1.0\times {{10}^{-4}}mol/litre\] \[=1.0\times {{10}^{-4}}\times 283g/litre\] \[=\frac{1.0\times {{10}^{-4}}\times 283}{1000}\times 100g/100ml\] \[=2.83\times {{10}^{-3}}g/100ml=28.3\times {{10}^{-2}}g\]
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