A) \[28.3\times {{10}^{-2}}g\]
B) \[2.83\times {{10}^{-3}}g\]
C) \[1.0\times {{10}^{-7}}g\]
D) \[1.0\times {{10}^{-4}}g\]
Correct Answer: B
Solution :
\[AgI{{O}_{3}}(s)\,A{{g}^{+}}(aq.)+IO_{3}^{-}(aq.)\] Let solubility of \[AgI{{O}_{3}}\] be S. \[{{K}_{sp}}=[A{{g}^{+}}][IO_{3}^{-}]\] \[1.0\times {{10}^{-8}}={{S}^{2}}\] In 1000 ml, of \[AgI{{O}_{3}}\] dissolved \[=1\times {{10}^{-4}}\] In 100 ml, mol of \[AgI{{O}_{3}}\] dissolved \[=1\times {{10}^{-5}}\] Mass of \[AgI{{O}_{3}}\] in \[100\,ml=1\times {{10}^{-5}}\times 283\] \[=2.83\times {{10}^{-3}}\]
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