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The maximum $P^{H}$ of a solution which is 0.10M in $M g^{+ 2}$ from which $M g {(O H)}_{2}$ is not precipitated is (Given $K_{s p}$ of $M g {(O H)}_{2} = 1.2 \times 10^{- 11} M$ )

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4.96

6.96

7.54

9.04

answer is D.

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Detailed Solution

$[M g^{+ 2}] [O H^{-}] < K_{s p}; (0.1) {[O H^{-}]}^{2} < 1.2 \times 10^{- 11} [O H^{-}] < \sqrt{1.2 \times 10^{- 10}}; [O H^{-}] < 1.09 \times 10^{- 5} P^{O H} = 4.96, P^{H} = 9.04$

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