The solubility product constant `(K_(sp))` of salts of types `MX, MX_(2)`, and `M_(3)X` at temperature `T` are `4.0 xx 10^(-8), 3.2 xx 10^(-14)`, and `2.7 xx 10^(-15)`, respectively. The solubilities of the salts at temperature `T` are in the order

Options

A. `MX gt MX_(2) gt M_(3)X`
B. `M_(3)X gt MX_(2) gt MX`
C. `MX_(2) gt M_(3)X lt MX`
D. `MX gt M_(3)X gt MX_(2)`

Answer

D

Explanation

MX : `K_(sp) = S^(2) = 4 xx 10^(-8)`
`implies S = 2 xx 10^(-4)`
`MX_(2): K_(sp) = 4S^(3) = 3.2 xx 10^(-14) implies S = 2 xx 10^(-5)`
`M_(3)X: K_(sp) = 27S^(4) = 2.7 xx 10^(-15) implies S = 10^(-4)`
Order of solubility is `MX > M_(3)X > MX_(2)`