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Q. At 25$^{\circ}$C, the solubility product of Hg$_2Cl_2$ in water is $3.2 \times 1^{-17} mol^3 dm^{-9}$ What is the solubility of Hg$_2Cl_2$ in water at 25$^{\circ}$C?

KEAMKEAM 2011Equilibrium

Solution:

$Hg_2Cl_2 \rightarrow Hg_2^{2+} +2Cl^-$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, K_{sp} =4S^3 =32 \times 10^{-18}$
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, S=2 \times 10^{-6} M$