Question

Concentration of the $A{g}^{+}$ ions in a saturated solution of $A{g}_2{C}_2{O}_4$ is $2.2\times {10}^{-4}mol{L}^{-1}$. Solubility product of $A{g}_2{C}_2{O}_4$ is ___________.

• A. $5.3\times {10}^{-12}$
• B. $2.42\times {10}^{-8}$
• C. $2.66\times {10}^{-12}$
• D. $4.5\times {10}^{-11}$

Answer 1

Answer: (A)

$5.3\times {10}^{-12}$

$\left[A{g}^{+}\right]=2.2\times {10}^{-4}mol{L}^{-1}$

$\left[C_2{O}_4^{2-}\right]=0.5\left[A{g}^{+}\right]=0.5\times 2.2\times {10}^{-4}mol{L}^{-1}=1.1\times {10}^{-4}mol{L}^{-1}$

$K_{sp}=\left[A{g}^{+}{]}^2\right[C_2{O}_4^{2-}]$

$K_{sp}=(2.2\times {10}^{-4}mol{L}^{-1}{)}^2\times 1.1\times {10}^{-4}mol{L}^{-1}$

$K_{sp}=5.3\times {10}^{-12}$