`K_(SP)` of `MX_(4)` and solubility of `MX_(4)` is `S mol//L` is related by:

Options

A. `S= [K_(SP)//256]^(1//5)`
B. `S= [128K_(SP)]^(1//4)`
C. `S= [256 K_(SP)]^(1//5)`
D. `S= [K_(SP)//128]^(1//4)`

Answer

A

Explanation

`MX_(4)hArrunderset(S)(M^(4+))+underset(4S)(4X^(-))`
`K_(SP)= [M^(4+)][X^(-)]^(4)`
`= Sxx(4S)^(4)= 256S^(5)`