Molarity of F^- in a saturated solution of InF₃ ? (K_{sp} = 7.9 × 10^{-10})

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6-2.Equilibrium-II (Ionic Equilibrium)

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What is the molarity of $F^-$ in a saturated solution of $InF_3$ ? $(K_{sp} = 7.9 \times 10^{-10})$

A

$2.3 \times 10^{-3}$

B

$8.3 \times 10^{-3}$

C

$1.0 \times 10^{-3}$

D

$7.0 \times 10^{-3}$

Solution

$\operatorname{In}\quad\quad\quad F_3 \rightleftharpoons \operatorname{In}^{3+}+3 F^{-}$

$t=0 \quad\quad C \quad\quad0 \quad\quad0$

$t=t \quad C-S \quad S\quad 3 S$

$\therefore \quad K _{ sp }= S \times(3 S )^3$

$\therefore \quad 7.9 \times 10^{-10}=27 S ^4$

$\therefore S ^4=2.92 \times 10^{-11}$

$\therefore S =2.32 \times 10^{-3} \,M$

where $S$ is the concentration of $F ^{-}$ ion in terms of molarity.

Standard 11

Chemistry

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