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

Answer

B

Explanation

`MX_(4) hArr underset(S)(M^(4+))+underset(4S)(4X^(-))`
`K_(sp)=[M^(4+)][X^(-)]^(4)=s(4s)^(4)=256s^(5)`
`s=((K_(sp))/(256))^((1)/(5))`