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Q. What will be the $ pH $ at which precipitation of $ Zn(OH)_2 $ will take place from a solution containing $ 0.3 \,M \,Zn^{2+} $ ion? $ K_{sp} $ of $ Zn(OH)_2 = 1.2 \times 10^{-12} $

J & K CETJ & K CET 2017Equilibrium

Solution:

$K_{sp}$ of $Zn\left(OH\right)_{2}$
$=\left[Zn^{2+}\right] \left[OH^{-}\right]^{2}$
$1.2\times10^{-12}=0.3\times\left[OH^{-}\right]^{2}$
$\left[OH^{-}\right]=2\times10^{-6}$
$pOH=-log \left[2\times10^{-6}\right]=5.699$
$\therefore pH=14-5.699$
$=8.301$