Q. For which of the following sparingly soluble salt, the solubility ($s$) and solubility product ($K_{sp}$) are related by the expression $s = \left( \frac{K_{sp}}{4} \right)^{\frac{1}{3}}$?
A) $BaSO_{4}$
B) $Ca_{3}\left( PO_{4} \right)_{2}$
C) $Hg_{2}Cl_{2}$
D) $Ag_{3}PO_{4}$
Explanation
(c)
$Hg_{2}Cl_{2} \rightleftharpoons Hg_{2}^{2 +} + 2Cl^{-}$
$s$ $2s$
$K_{sp} = \left\lbrack Hg_{2}^{2 +} \right\rbrack\left\lbrack Cl^{-} \right\rbrack^{2}$
$K_{sp} = (s)(2s)^{2}$
$K_{sp} = 4s^{3}$
$s = \left( \frac{K_{sp}}{4} \right)^{\frac{1}{3}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.