The solubility product of a sparingly soluble salt AX is 5.

IV. The solubility product of a sparingly soluble salt AX is 5.2×10-13. Its solubility in mol dm-3 is

Choose the most correct answer:

iv. The solubility product of a sparingly soluble salt AX is 5.2×10-13. Its solubility in mol dm-3 is
a. 7.2 × 10-7

b. 1.35 × 10-4

c. 7.2 × 10-8

d. 13.5 × 10-8

Answer:-

The solubility product of a sparingly soluble salt $A X$ is $5.2 \times 10^{- 13}$ . Its solubility in mol dm $^{- 3}$ is 7.2 \times 10^{-7}.

Explanation:

$K_{s p} = 5.2 \times 10^{- 13}$

$AX \overset{- ⇀}{↽ -} A^{-} + X^{+}$

$K_{s p} = [A^{-}] [X^{+}] = s \times s$

$5.2 \times 10^{- 13} = s^{2}$

$\sqrt{10^{- 13}} = \sqrt{10^{- 12}} = 10^{- 6}$

$0.52 \times 10^{- 12} = s^{2}$

$\sqrt{0.52 \times 10^{- 12}} = s$

$0.7211 \times 10^{- 6} = s$

$s = 7.211 \times 10^{- 7}$

Chapter 3 Ionic Equilibira – Exercises (page 61)