At ` 25^(@)` C, the solubility product of `Hg_(2)CI_(2)` in water is `3.2xx10^(-17)mol^(3)dm^(-9)` what is the solubility of `Hg_(2)CI_(2)` in water at `25^(@)`C ?

Options

A. `1.2 xx 10^(-12)M`
B. `3.0 xx 10^(-6) M`
C. `2 xx 10^(-6) M`
D. ` 1.2 xx 10^(-16)M`

Answer

C

Explanation

`underset(x)(Hg_(2)Cl_(2)) hArr underset(s)(Hg_(2)^(2+))+underset(2s)(2Cl^(-))`
`K_(sp)=s(2s)^(2)=4s^(3)`
`:. s=(K_(sp)//4)^(1//3)=(3.2 xx 10^(-17))^(1//3)`
`=(8 xx 10^(-18))^(1//3)=2 xx 10^(-6) M`.