What is the solubility of calcium fluoride in a saturated solutio… - Vidyadip

MCQ

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

✓
$2.0 \times {10^{ - 4}}\,mole/litre$
B
$12.0 \times {10^{ - 3}}\,mole/litre$
C
$0.2 \times {10^{ - 4}}\,mole/litre$
D
$2 \times {10^{ - 3}}\,mole/litre$

✓

Answer

Correct option: A.

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

(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}}$ $m/l$.

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