Chemistry - Ionic Equilibrium Question with Solution | TestHub

Let the solubility of$\mathrm{A}\mathrm{g}\mathrm{C}\mathrm{l}$is$\mathrm{x}$mol$\text{litr}{\text{e}}^{-1}$

$\text{AgCl}\rightleftharpoons \underset{\mathrm{x}}{\text{A}{\text{g}}^{+}}+\underset{\mathrm{x}}{\text{C}{\text{l}}^{-}}$

And that of$\mathrm{C}\mathrm{u}\mathrm{C}\mathrm{l}$is$\mathrm{y}$mol$\text{litr}{\text{e}}^{-1}$

$\text{CuCl}\rightleftharpoons \underset{\mathrm{y}}{\text{C}{\text{u}}^{+}}+\underset{\mathrm{y}}{\text{C}{\text{l}}^{-}}$

${\mathrm{K}}_{\text{sp}}$of$\text{AgCl}=\left[\text{A}{\text{g}}^{+}\right]\left[\text{C}{\text{l}}^{-1}\right]$

$1.6\times 10^{-10}=\mathrm{x}\left(\mathrm{x}+\mathrm{y}\right)$...(i)

Similarly${\mathrm{K}}_{\text{sp}}$of$\text{CuCl}=\left[\text{C}{\text{u}}^{+}\right]\left[\text{C}{\text{l}}^{-}\right]$

$1.6\times 10^{-6}=\mathrm{y}\left(\mathrm{x}+\mathrm{y}\right)$...(ii)

On solving (i) and (ii)

$\left[\text{A}{\text{g}}^{+}\right]=1.6\times 10^{-7}$

$\mathrm{x}=7$