MY and NY_3, two nearly insoluble salts, have the same K_ sp valu… - Vidyadip

MCQ

$MY$ and $NY_3,$ two nearly insoluble salts, have the same $K_{sp} $ values of $6.2 \times 10^{-13}$ at roomtemperature. Which statement would be true in regard to $MY$ and $NY_3$ ?

A
The salts $MY$ and $NY_3$ are more soluble in $0.5 \,M\, KY$ than in pure water.
B
The addition of the salt of $KY$ to solution of $MY$ and $NY_3$ will have no effect on their solubilities.
C
The molar solubilities of $MY$ and $NY_3$ in water are identical.
✓
The molar solubility of $MY$ in water is less than that of $NY_3$

✓

Answer

Correct option: D.

The molar solubility of $MY$ in water is less than that of $NY_3$

d
For $M Y: K_{s p}=s_{1}^{2}$

$\Rightarrow s_{1}=\sqrt{K_{s p}}=\sqrt{6.2 \times 10^{-13}}$

$=7.87 \times 10^{-7} \mathrm{mol} \mathrm{L}^{-1}$

For $N Y_{3}: K_{s p}=27 s_{2}^{4}$

$\Rightarrow s_{2}=\sqrt[4]{\frac{6.2 \times 10^{-13}}{27}}$

$=3.89 \times 10^{-4} \mathrm{mol} \mathrm{L}^{-1}$

Hence, molar solubility of $MY$ in water is less than that of $NY_3$ .

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