Question

If $K_{sp}$ of $A{g}_{2}C{O}_3$ is $8\times {10}^{-12}$, the molar solubility of $A{g}_{2}C{O}_3$ in $0.1$M $AgN{O}_3$ is:

• A. $8\times {10}^{-12}$M
• B. $8\times {10}^{-10}$M
• C. $8\times {10}^{-11}$M
• D. $8\times {10}^{-13}$M

Answer 1

Answer: (B)

$8\times {10}^{-10}$M

$A{g}_{2}C{O}_3\left(s\right)\rightleftharpoons \underset{(0.1+2S)M}{2A{g}^{+}(aq.)}+\underset{SM}{C{O}_3^{-2}\left(aq\right)}$

$Ksp=\left[A{g}^{+}{]}^2\right[C{O}_3^{-2}]$

$8\times {10}^{-12}=(0.1+2S{)}^2(S)$

As $K_{sp}issosmall,so0.1+2S=0.1$

$S=8\times {10}^{-10}M$.