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The solubility of Mg(OH)(2) is increased...

The solubility of `Mg(OH)_(2)` is increased by the addition of `overset(o+)NH_(4)` ion. Calculate
a. `Kc` for the reaction:
`Mg(OH)_(2) +2overset(o+)NH_(4) hArr 2NH_(3) +2H_(2)O + Mg^(+2)`
`K_(sp) of Mg(OH)_(@) = 6 xx 10^(-12), K_(b) of NH_(3) = 1.8 xx 10^(-5)`.
b. Find the solubility of `Mg(OH)_(2)` in a solution containing `0.5M NH_(4)C1` before addition of `Mg(OH)_(2)`.b

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