Gujarati
6-2.Equilibrium-II (Ionic Equilibrium)
medium

What is the minimum concentration of $SO_4^{2 - }$ required to precipitate $BaS{O_4}$ in a solution containing $1.0 \times {10^{ - 4}}\,mol\,\,\,B{a^{2 + }}$ (${K_{sp}}$ for $BaS{O_4}$ is $4 \times {10^{ - 10}}$)

A

$4 \times {10^{ - 10}}\,M$

B

$2 \times {10^{ - 7}}\,M$

C

$4 \times {10^{ - 6}}\,M$

D

$2 \times {10^{ - 3}}\,M$

Solution

(c) $BaS{O_4} $ $\rightleftharpoons$  $ B{a^{2 + }} + SO_4^{2 – }$

${K_{sp}} = {S^2} \Rightarrow S = \sqrt {{K_{sp}}} $;

${K_{sp}} = [B{a^{2 + }}] \times [SO_4^{2 – }]$

$4 \times {10^{ – 10}} = [1 \times {10^{ – 4}}] \times [SO_4^{2 – }]$

$[SO_4^{2 – }] = \frac{{4 \times {{10}^{ – 10}}}}{{1 \times {{10}^{ – 4}}}} = 4 \times {10^{ – 6}}$.

Standard 11
Chemistry

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