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Common Ion Effect

The pH at w...

Question

The $p H$ at which $M g {(O H)}_{2}$ begins to precipitate from a solution containing $0.10 M$ ${M g}^{+}$ ions. $K_{{s p}_{M g {(O H)}_{2}}} = 10^{- 11}$ is:

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Solution

The correct option is B 9
For the just precipitation of $M g {(O H)}_{2}$ from a solution having $[{M g}^{2 +}] = 0.10 M$

$K_{s p} = [{M g}^{+}] {[{O H}^{-}]}^{2}$
$1 \times 10^{- 11} = [0.1] {[{O H}^{-}]}^{2}$

$∴$ $[{O H}^{-}] = 10^{- 5} M$
or $p O H = 5$

$∴$ $p H = 14 - p O H = 14 - 5 = 9$

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