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=((Ksp)/(128))^(1//4)`
B. `S=((Ksp)/(256))^(1//5)`
C. `S=(256Ksp)^(1//5)`
D. `S=(128Ksp)^(1//4)`

Answer

B

Explanation

`MX_(4)(s)+aqhArrunderset(S)(M^(+4)(aq))+underset(4S)(4X^(-)(aq))`
`K_(sp)=[M^(+4)]xx[X^(-)]^(4)=Sxx(4S)^(4)=256S^(5) :. S=((K_(sp))/(256))^(1//5)`