The molar solubility (in mol `L^(-1)`) of a sparingly soluble salt `MX_(4)` is 's'. The corresponding solubility product is `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,
`[M^(+)]=s, [X^(-)]=4s`
`K_(sp)=[M^(+)][X^(-)]^(4)=(s)(4s)^(4)=256 s^(5)`
`s=((K_(sp))/(256))^(1//5)` .