MY and NY₃, two nearly insoluble salts, have the same $K_{sp}$ values of 6.2 x 10~!3 at room temperature. Which statement would be true in regard to MY and NY₃ ?

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The addition of the salt of KY to solution of MY and NY₃will have no effect on their solubilities.

The molar solubilities of MY and NY₃ in water are identical.

The molar solubility of MY in water is less than that of NY₃

The salts MY and NY₃are more soluble in 0.5 M KY than in pure water.

answer is B.

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Detailed Solution

$MY ⇋ M^{+} + Y^{-} K_{SP} = s^{2} = 6 .2 \times 10^{- 13} s = \sqrt{6 .2 \times 10^{- 13}} s = 7 .87 \times 10^{- 7} molL - 1 {NY}_{3} ⇋ N^{3 +} + 3 Y^{-} K_{SP} = s \times (3 s)^{3} = 27 s^{4} = 6 .2 \times 10^{- 13} s = {(\frac{6 .2 \times 10^{- 13}}{27})}^{1 / 4} s = 3 .89 \times 10^{- 4} molL - 1 ∴ molar solubility of {NY}_{3} is more than MY in water .$