Gujarati
Hindi
6-2.Equilibrium-II (Ionic Equilibrium)
hard

Solubility product constant ( $\mathrm{K}_{\mathrm{sp}}$ ) of salts of types $\mathrm{MX}, \mathrm{MX}_2$ and $\mathrm{M}_3 \mathrm{X}$ at temperature ' $\mathrm{T}$ ' are $4.0 \times 10^{-8}, 3.2 \times 10^{-14}$ and $2.7 \times 10^{-15}$, respectively. Solubilities (mole dm ${ }^{-3}$ ) of the salts at temperature ' $\mathrm{T}$ ' are in the order

A

$\mathrm{MX}>\mathrm{MX}_2>\mathrm{M}_3 \mathrm{X}$

B

$\mathrm{M}_3 \mathrm{X}>\mathrm{MX}_2>\mathrm{MX}$

C

$\mathrm{MX}_2>\mathrm{M}_3 \mathrm{X}>\mathrm{MX}$

D

$\mathrm{MX}>\mathrm{M}_3 \mathrm{X}>\mathrm{MX}_2$

(IIT-2008)

Solution

Solubility of $(M X)=\sqrt{4 \times 10^{-8}}=2 \times 10^{-4}$

Solubility of $\left(\mathrm{MX}_2\right)=8 \times 10^{-5}$

Solubility of $\left(\mathrm{M}_3 \mathrm{X}\right)=1 \times 10^{-4}$

$\therefore \mathrm{MX}>\mathrm{M}_3 \mathrm{X}>\mathrm{MX}_2$

Standard 11
Chemistry

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