`M_(2)SO_(4) (M^(o+)` is a monovalent metal ion) has a `K_(sp)` of `3.2 xx 10^(-6)`at `298 K`. The maximum concentration of `SO_(4)^(2-)` ion that could be attained in a saturated solution of this solid at `298 K` is

Options

A. `3 xx 10^(-3)M`
B. `7 xx 10^(-2)M`
C. `2.89 xx 10^(-4)M`
D. `2xx10^(-2)M`

Answer

D

Explanation

`{:(M_(2)SO_(4)hArr,2M^(o+)+,SO_(4)^(2-),,),(,2S,S,,):}`
`K_(sp) = (2S)^(2) (S) = 4S^(3)`.
`:. S =3sqrt((K_(sp))/(4))=3 sqrt((3.2xx10^(-5))/(4)) = 2xx10^(-2)M`