Chemistry - Ionic Equilibrium Question with Solution | TestHub

It is a case of simultaneous solubility of salts with a common ion. Here solubility product of $\mathrm{CuCl}$ is much greater than that of $\mathrm{AgCl}$, it can be assumed that ${\mathrm{Cl}}^{-}$in solution comes mainly from $\mathrm{CuCl}$. $$\Rightarrow \left[{\mathrm{Cl}}^{-}\right]=\sqrt{K_{sp}(\mathrm{CuCl})}=10^{-3}\mathrm{M}$$ Now for $\mathrm{AgCl}:K_{sp}=1.6\times 10^{-10}=\left[{\mathrm{Ag}}^{+}\right]\left[{\mathrm{Cl}}^{-}\right]=\left[{\mathrm{Ag}}^{+}\right]\times 10^{-3}\Rightarrow \left[{\mathrm{Ag}}^{+}\right]=1.6\times 10^{-7}$