Question
Arrange the following salt of magnesium in the order of increasing solubilities.
$MgF2, MgCO3, Mg3(PO4)2$
[Given: and
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Answer :
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Let the molar solubility be (s). For ( \mathrm{MgF_2(s) \rightleftharpoons Mg^{2+} + 2F^-} ) [ K_{sp} = [\mathrm{Mg^{2+}}][\mathrm{F^-}]^2 = s(2s)^2 = 4s^3 ] [ s = \left(\frac{3.7 \times 10^{-8}}{4}\right)^{1/3} \approx (0.925 \times 10^{-8})^{1/3} ] [ s \approx 2.1 \times 10^{-3}\ \text{mol L}^{-1} ] --- For ( \mathrm{MgCO_3(s) \rightleftharpoons Mg^{2+} + CO_3^{2-}} )
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