Chemistry - Ionic Equilibrium Question with Solution | TestHub

$\begin{array}{ccccc}{\mathrm{Ag}}_2{\mathrm{C}}_2{\mathrm{O}}_4\left(\mathrm{s}\right)& \rightleftharpoons & 2{\mathrm{Ag}}^{+}\left(\mathrm{aq}\right)& +& {\mathrm{C}}_2{\mathrm{O}}_4^{2-}\left(\mathrm{aq}\right)\\ & & 2\mathrm{s}& & \mathrm{s}\end{array}$

${\mathrm{K}}_{\mathrm{sp}}={\left[{\mathrm{Ag}}^{+}\right]}^2\mathrm{ }\left[{\mathrm{C}}_2{\mathrm{O}}_4^{2-}\right]$

$\left[{\mathrm{Ag}}^{+}\right]=2.2\times {10}^{-4}\mathrm{mol}/\mathrm{L}$

$\therefore \mathrm{ }\left[{\mathrm{C}}_2{\mathrm{O}}_4^{2-}\right]=\frac{2.2\times {10}^{-4}}{2}\mathrm{ }\mathrm{M}=1.1\times {10}^{-4}\mathrm{M}$

$\therefore {\mathrm{K}}_{\mathrm{sp}}={\left(2.2\times {10}^{-4}\right)}^2\mathrm{ }\left(1.1\times {10}^{-4}\right) (\mathrm{mol}/\mathrm{L}{)}^3$

$=5.324\times {10}^{-12} (\mathrm{mol}/\mathrm{L}{)}^3$.