Equilibrium Ques 68

68. The solubility of $BaSO_4$ in water is $2.42 \times 10^{-3} gL^{-1}$ at $298 $ $K$. The value of its solubility product $(K _{s p})$ will be

(Given molar mass of $BaSO_4=233 $ $g $ $mol^{-1}$ )

[2018]

(a) $1.08 \times 10^{-10} $ $mol^{2} $ $L^{-2}$

(b) $1.08 \times 10^{-12} $ $mol^{2} $ $L^{-2}$

(c) $1.08 \times 10^{-8}$ $ mol^{2}$ $ L^{-2}$

(d) $1.08 \times 10^{-14}$ $ mol^{2}$ $ L^{-2}$

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Answer:

Correct Answer: 68.(a)

Solution:

  1. (a) Solubility of $BaSO_4=2.42 \times 10^{-3} $ $gL^{-1}$

$\therefore \quad s=\frac{2.42 \times 10^{-3}}{233}=1.038 \times 10^{-5} $ $mol $ $L^{-1}$

$K _{s p}=s^{2}=(1.038 \times 10^{-5})^{2}=1.08 \times 10^{-10} $ $mol^{2} $ $L^{-2}$