Chapter 8, Problem 8.87E

Calculate (a) the solubility product constant for ${\text{Ag}}_2{\text{CO}}_3$ and (b) the value of $K_{\text{w}}$ using the following data:

$\begin{array}{l}{\text{Ag}}_2{\text{CO}}_3\left(\text{s}\right)+2{\text{e}}^{-}\to 2\text{Ag}\left(\text{s}\right)+{\text{CO}}_3{}^{-2}\left(\text{aq}\right)E=0.47\text{V}\\ {\text{Ag}}^{+}\left(\text{aq}\right)+{\text{e}}^{-}\to \text{Ag}\left(\text{s}\right)E=0.7996\text{V}\\ {\text{O}}_2\left(\text{g}\right)+{\text{2H}}_{\text{2}}\text{O}\left(l\right)+4{\text{e}}^{-}\to 4{\text{OH}}^{-}\left(\text{aq}\right)E=0.401\text{V}\\ {\text{O}}_2\left(\text{g}\right)+4{\text{H}}^{+}\left(\text{aq}\right)+4{\text{e}}^{-}\to {\text{2H}}_{\text{2}}\text{O}\left(l\right)E=1.229\text{V}\end{array}$