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Q. The solubility product of $ PbCl_{2} $ at $ 20^{\circ}C $ is $ 1.5\times 10^{-4} $ . Calculate the solubility.

Haryana PMTHaryana PMT 2011

Solution:

$ PbCl_{2}\underset{S}{Pb^{2+}}\,+\underset{2S^{2}}{2Cl^{-}}$
$ K_{sp}=S\times (2\,\,S)^{2}4\,S^{3} $
$ S=\sqrt[3]{\frac{K_{sp}}{4}}=\sqrt[3]{\frac{1.5\times 10^{-4}}{4}}$
$=3.34\times {{10}^{-2}} $