The molar solubility ( in mol `L^(-1))` of a sparingly soluble salt `MX_(4)` is `'s'`. The corresponding solubility product `K_(sp), 's'` is given in terms of `K_(sp)` by the relation

Options

A. `s=(256 K_(sp))^(1//5)`
B. `s=(128 K_(sp))^(1//4)`
C. `s=(K_(sp)//128)^(1//4)`
D. `s=(K_(sp)//256)^(1//5)`

Answer

D

Explanation

`MX_4 hArr M^(+)+4X^(-)`
If solubility is s, then
`[M^+]=s [X^-]=4s`
`K_(sp)=[M^+][X^-]^4`
`=(s)xx(4s)^4`
`=256s^5`
`therefore s=(K_(sp)//256)^(1//5)`