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6-2.Equilibrium-II (Ionic Equilibrium)
medium
Solubility product $(K_{sp})$ of the salts $MX\,,\, MX_2\,,\, M_3X$ at temperature $'T'$ are $4 \times 10^{-8}\,,\, 3.2 \times 10^{-14}$ and $2.7 \times 10^{-15}$ respectively. Solubilities of the salt at temperature $'T'$ are in the order
A
$MX > MX_2 > M_3X$
B
$M_3X > MX_2 > MX$
C
$MX_2 > M_3X > MX$
D
$MX > M_3X > MX_2$
Solution
$M X: K_{s p}=S^2=4 \times 10^{-8}\Rightarrow \quad S =2 \times 10^{-4}$
$MX _2: \quad K _{ sp }=4 S ^3=3.2 \times 10^{-14} \quad \Rightarrow S =2 \times 10^{-5}$
$M_3 X: \quad K_{s p}=27 S^4=2.7 \times 10^{-15} \quad \Rightarrow S=10^{-4}$
Order of solubility is $M X\,>\,M_3 X\,>\,M X_2$
Standard 11
Chemistry