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. `1.2xx10^(-12) M`
B. `3.0xx10^(-6)M`
C. `2xx10^(-6)M`
D. `1.2xx10^(-16) M`

Answer

C

Explanation

`{:(Hg_(2)Cl_(2),hArr,"Hg"_(2)^(2+),+,2Cl^(-)),(" "S,,S,,2S " "K_(sp)=S(2S)^(2)=4S^(3)):}`
`S=(K_(sp)//4)^(1//3)=(3.2xx10^(-17)//4)^(1//3)`
`=(8xx10^(-18))^(1//3)=2xx10^(-6)M`.