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Solubility Product of $\textrm{Mg}_3\textrm{(PO}_4\textrm{)}_2$

CHEM-YSNGUU

Excess $\textrm{Mg}_3\textrm{(PO}_4\textrm{)}_2$ is added to a $0.010 \textrm{ M Mg(NO}_3\textrm{)}_2$ solution (assume no volume change). When equilibrium is reached, the concentration of $\textrm{PO}_4^{3-}$ is $6.29\times10^{-14} \textrm{ M}$.

Calculate the $K_{sp}$ value for $\textrm{Mg}_3\textrm{(PO}_4\textrm{)}_2$.

A

$3.3\times10^{-66}$

B

$9.9\times10^{-34}$

C

$4.0\times10^{-33}$

D

$6.3\times10^{-16}$