First slide

Solubility product(KSP)

Question

The volume of the water needed to dissolve 1 g of ${BaSO}_{4} (K_{SP} = 1.1 \times 10^{- 10}) at 25^{0} C is$

Moderate

A

280 litre
B

410 litre
C

205 litre
D

None of these

Solution

$Solubility of {BaSO}_{4}, S = \sqrt{K_{SP}} = \sqrt{1.1 \times 10^{- 10}} = 1.05 \times 10^{- 5} M ∴ Wt . of {BaSO}_{4} = 1.05 \times 10^{- 5} \times 233 (S = W / M) = 244.37 \times 10^{- 5} g / L$
$∴$ Volume of water needed to dissolve 1 g ${BaSO}_{4}$ is equal to
$\frac{1}{244.37 \times 10^{- 5}} = 410 L$

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