MCQ
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
    $2 \times {10^{ - 7}}\,M$
  • $4 \times {10^{ - 6}}\,M$
  • D
    $2 \times {10^{ - 3}}\,M$

Answer

Correct option: C.
$4 \times {10^{ - 6}}\,M$
(c) $BaS{O_4} $ $\rightleftharpoons$  $ B{a^{2 + }} + SO_4^{2 - }$

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

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

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

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

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