Question

$\underset{0.1\text{ mole}}{ACOAg(s)} + \underset{0.1\text{ M}}{H^{+}} + \underset{0.1\text{ M}}{Cl^{-}} \rightleftharpoons ACOH + AgCl(s)$

$K_{eq} = \frac{\lbrack ACOH\rbrack}{\left\lbrack H^{+} \right\rbrack\left\lbrack Cl^{-} \right\rbrack} \times \frac{\left\lbrack ACO^{-} \right\rbrack}{\left\lbrack ACO^{-} \right\rbrack} \times \frac{\left\lbrack Ag^{+} \right\rbrack}{\left\lbrack Ag^{+} \right\rbrack} = \frac{K_{sp}\lbrack ACOAg\rbrack}{K_{sp}(AgCl) \times K_{a}} $$${= \frac{10^{- 8}}{10^{- 10} \times 10^{- 5}} = 10^{7} \Rightarrow \text{Almost complete reaction} }{\therefore\lbrack ACOH\rbrack \simeq 0.1\text{ M, }\left\lbrack H^{+} \right\rbrack = \sqrt{\frac{0.1}{10^{7}}} = 10^{- 4}\text{ M and }\left\lbrack ACO^{-} \right\rbrack = \frac{K_{a} \times \lbrack ACOH\rbrack}{\left\lbrack H^{+} \right\rbrack} = 0.01\text{ M}}$$