Question

At ${30}^{o}C$, the solubility of ${Ag}_2{CO}_3$( solubility product $=8\times {10}^{-12})$ will be maximum in:

Answer 1

${Ag}_2{CO}_3\rightleftharpoons {2Ag}^{+}+{CO}_3^{2-}$

$S$ $2S$ $S$

Let us consider the solubility be $S$ mole ${lit}^{-1}$

$\therefore$ $K_{sp}={\left[{Ag}^{+}\right]}^2\left[{CO}_3^{2-}\right]$

$\Rightarrow 8\times {10}^{-12}={\left(2S\right)}^{2}S={4S}^3$

$\Rightarrow S^3=2\times {10}^{-12}\Rightarrow S=1.26\times {10}^{-4}mole{lit}^{-1}$.