Solubility of calcium fluoride in a saturated solution, if its solubility product is 3.2 × {10^{ -

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6-2.Equilibrium-II (Ionic Equilibrium)

medium

What is the solubility of calcium fluoride in a saturated solution, if its solubility product is $3.2 \times {10^{ - 11}}$

A

$2.0 \times {10^{ - 4}}\,mole/litre$

B

$12.0 \times {10^{ - 3}}\,mole/litre$

C

$0.2 \times {10^{ - 4}}\,mole/litre$

D

$2 \times {10^{ - 3}}\,mole/litre$

Solution

(a) $\mathop {Ca{F_2}}\limits_S ⇌\mathop {C{a^{ + 2 }}}\limits_{S\,\,\,} + \mathop {2{F^ – }}\limits_{{{(2S)}^{2\,\,\,}}} $

${K_{sp}} = 4{S^3}$

$S = \sqrt[3]{{\frac{{{K_{sp}}}}{4}}}$ $ = \sqrt[3]{{\frac{{3.2 \times {{10}^{ – 11}}}}{4}}}$ $ = 2 \times {10^{ – 4}}$ $m/l$.

Standard 11

Chemistry

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