MY and NY 3 , two nearly insoluble salts, have the same values of 6 . 2 × 10 - 13 at room temperature. Which statement would be true in regard to MY and NY 3 ? [2016]

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Q.
$MY$ and ${NY}_{3}$ , two nearly insoluble salts, have the same $K_{s p}$ values of $6.2 \times 10^{- 13}$ at room temperature. Which statement would be true in regard to $MY$ and ${NY}_{3}$ [2016]

1 The salts $MY$ and ${NY}_{3}$ are more soluble in $0.5$ $M$ $KY$ than in pure water.

2 The addition of the salt of $KY$ to solution of $MY$ and ${NY}_{3}$ will have no effect on their solubilities.

3 The molar solubilities of $MY$ and ${NY}_{3}$ in water are identical.

4 The molar solubility of $MY$ in water is less than that of ${NY}_{3}$ .

Ans.
(4)

For $M Y : K_{sp} = s_{1}^{2}$

$\Rightarrow s_{1} = \sqrt{K_{sp}} = \sqrt{6.2 \times 10^{- 13}} = 7.87 \times 10^{- 7}$ $mol$ $L^{- 1}$

For $N Y_{3} : K_{sp} = (s_{2}) {(3 s_{2})}^{3} = 27 s_{2}^{4}$

$\Rightarrow s_{2} = \sqrt[4]{\frac{6.2 \times 10^{- 13}}{27}} = 3.89 \times 10^{- 4}$ $mol$ $L^{- 1}$

Hence, molar solubility of $MY$ in water is less than that of ${NY}_{3}$ .

Solution

Q.
$MY$ and ${NY}_{3}$ , two nearly insoluble salts, have the same $K_{s p}$ values of $6.2 \times 10^{- 13}$ at room temperature. Which statement would be true in regard to $MY$ and ${NY}_{3}$ [2016]

1 The salts $MY$ and ${NY}_{3}$ are more soluble in $0.5$ $M$ $KY$ than in pure water.

2 The addition of the salt of $KY$ to solution of $MY$ and ${NY}_{3}$ will have no effect on their solubilities.

3 The molar solubilities of $MY$ and ${NY}_{3}$ in water are identical.

4 The molar solubility of $MY$ in water is less than that of ${NY}_{3}$ .

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Solution

Q. MY and NY3, two nearly insoluble salts, have the same Ksp values of 6.2×10-13 at room temperature. Which statement would be true in regard to MY and NY3 [2016]

1 The salts MY and NY3 are more soluble in 0.5 M KY than in pure water.

2 The addition of the salt of KY to solution of MY and NY3 will have no effect on their solubilities.

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

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

Ans. (4) For MY: Ksp=s12 ⇒s1=Ksp=6.2×10-13=7.87×10-7 mol L-1 For NY3: Ksp=(s2)(3s2)3=27s24 ⇒s2=6.2×10-13274=3.89×10-4 mol L-1 Hence, molar solubility of MY in water is less than that of NY3.

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Q.
$MY$ and ${NY}_{3}$ , two nearly insoluble salts, have the same $K_{s p}$ values of $6.2 \times 10^{- 13}$ at room temperature. Which statement would be true in regard to $MY$ and ${NY}_{3}$ [2016]

1 The salts $MY$ and ${NY}_{3}$ are more soluble in $0.5$ $M$ $KY$ than in pure water.

2 The addition of the salt of $KY$ to solution of $MY$ and ${NY}_{3}$ will have no effect on their solubilities.

3 The molar solubilities of $MY$ and ${NY}_{3}$ in water are identical.

4 The molar solubility of $MY$ in water is less than that of ${NY}_{3}$ .