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Will a precipitate of Mg(OH)(2) be for...

Will a precipitate of `Mg(OH)_(2)` be formed in a 0.001 M solution of `Mg(NO_(3))` , if the pH of solution is adjusted to 9 ? `K_(sp)` of `Mg(OH)_(2)= 8.9 xx 10^(-12)` .

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pH = 9
` :. [H^(+)] = 10^(-9) M ` ,
or `[OH^(-)] = 10^(-5) M `
Now if `Mg(NO_(3))_(2)` is present in a solution of `[OH^(-)]^(2) = [0.001] [10^(-5)]^(2)`
` = 10^(-13)` lesser than ` K_(sp) ` of `Mg(OH)_(2)`
i.e ,. `8.9 xx 10^(12) ` (I.P `lt K_(sp)`)
` :. Mg(OH)_(2)` will not precipitate .
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