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`pH` of saturated solution of `Ba(OH)_(2)` is `12`. The value of solubility product `(K_(sp))` of `Ba(OH)_(2)` isA. `3.3xx10^(-7)`B. `5.0xx10^(-7)`C. `4.0xx10^(-6)`D. `5.0xx10^(-6)` |
Answer» Correct Answer - B Given, pH of `Ba(OH)_(2)=12` `therefore pOH=14-pH` = 14 - 12 = 2 We know that, `pOH=-log[OH^(-)]` `2=-log[OH^(-)]` `[OH^(-)]` = antilog (-2) `[OH^(-)]=1xx10^(-2)` `Ba(OH)_(2)` dissolves in water as `underset("S mol L"^(-1))(Ba(OH)_(2))(S)hArr underset(S)(Ba^(2+))+underset(2S)(2OH^(-))` `therefore [OH^(-)]=2S=1xx10^(-2)` `S=([OH^(-)])/(2) " " [Ba^(2+)=S]` `[Ba^(2+)]=([OH^(-)])/(2)=(1xx10^(-2))/(2)` `K_(sp)=[Ba^(2+)][OH^(-)]^(2)` `=((1xx10^(-2))/(2))(1xx10^(-2))^(2)` `=0.5xx10^(-6)=5xx10^(-7)` |
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