Question

Concentration of the $Ag^+$ ions in a saturated solution of $Ag_2C_2O_4$ is $2.2 \times 10^{-4}\, mol\, L^{-1}$ Solubility product of $Ag_2C_2O_4$ is :-

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

Answer 1

Answer: (C)

$Ag _{2} C _{2} O _{4}( s ) \rightleftharpoons \underset{2s}{2 Ag ^{+}}( aq )+ C _{2} \underset{s}{O _{4}^{2-}}( aq )$

$K _{ SP }=\left[ Ag ^{+}\right]^{2}\left[ C _{2} O _{4}^{2-}\right] $

$\left[ Ag ^{+}\right]=2.2 \times 10^{-4} M$

$\therefore \left[ C _{2} O _{4}^{2-}\right]=\frac{2.2 \times 10^{-4}}{2} M =1.1 \times 10^{-4} M$

$\therefore K _{ SP }=\left(2.2 \times 10^{-4}\right)^{2}\left(1.1 \times 10^{-4}\right)$

$=5.324 \times 10^{-12}$