Question

The solubility of $BaS{O}_4$ when $CaS{O}_4$ and $BaS{O}_4$ are dissolved in water simultaneously is: $(K_{SP}ofCaS{O}_4=P.K_{SP}$ of $BaS{O}_4=q$ and simultaneous solubility of $CaS{O}_4$ is ‘b’ mol/litre.)

• A. $\frac{bq}{P}$
• B. $\frac{b}{qP}$
• C. $\frac{P}{bq}$
• D. $\frac{Pq}{b}$

Answer 1

The correct option is A

$\frac{bq}{P}$

For $BaS{O}_4,\left[B{a}^{2+}\right]\left[S{O}_4^{2-}\right]=K_{sp}ofBaS{O}_4=q$
For $BaS{O}_4,\left[C{a}^{2+}\right]\left[S{O}_4^{2-}\right]=K_{sp}ofCaS{O}_4=P$
$\Rightarrow \frac{\left[B{a}^{2+}\right]}{\left[C{a}^{2+}\right]}=\frac{q}{P}\Rightarrow \left[B{a}^{2+}\right]=\frac{bq}{P}$