Question

If $K_{sp}$ of $Ag_{2}CO_{3}$ is $8 \times 10^{-12}$, the molar solubility of $Ag_2CO_3$ in $0.1\,M\, AgNO_3$ 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)

$Ag_2CO_3 (s) \, \, \rightleftharpoons \underset{(0.1 \, + \, 2S) \, M}{ 2Ag^+(aq.)} \, + \, \underset{S \, M}{CO_3^{-2} (aq)}$
$Ksp \, = \, [Ag^+]^2 [CO_3^-2]$
$8 \times 10^{-12} \, = \, (0.1 \, + \, 2S)^2 \, (S)$
$S = 8 \times 10^{-10} M$