Calculate solubility of $C a_{3} (P O_{4})_{2} (K_{s p} = 10^{- 15})$ in presence of 0.1 M $C a C l_{2}$ solution.

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Solution

$[C a^{2 +}] = 10^{- 1} M$
$C a_{3} {(P O_{3})}_{2} ⟶ 3 C a^{2 +} + 2 P O_{4}^{3 -}$
$K_{s p} = [C a^{2 +}]^{3} [P O_{3}^{3 -}]^{2}$
$10^{- 15} = 10^{- 3} \times 4 S^{2}$
$S = \sqrt{\frac{10^{- 12}}{4}} = \frac{1}{2} \times 10^{- 6} = 5 \times 10^{- 7}$
$∴$ Solubility $= 5 \times 10^{- 7}$

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Calculate solubility of $C a_{3} (P O_{4}) (K_{p} = 10^{- 15})$ in presence of $0.1 M C a C l_{2}$ soluion.

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