Three sparingly soluble salts `M_(2)X`, `MX` and `MX_(3)` have the same solubility product. Their solubilities will be in the order

Options

A. `3gt2gt1`
B. `3gt1gt2`
C. `2gt3gt1`
D. `2gt1gt3`

Answer

D

Explanation

`MXhArr M^(+)+X^(-), K_(SP)=x^(2)implies x=K_(SP)^(1//2)`
`M_(2)XhArr 2M^(+)+X^(-), K_(SP)=4x^(3)implies x= ((K_(SP))/(4))^(1//3)`
`MX_(3)hArr M^(3+)3X^(-),`
`K_(SP)=27x^(4)implies x= ((K_(SP))/(27))^(1//4)`