For which of the following sparingly soluble salt the solubility (s) and solubility product `(K_(sp))` are related by the expression `s=(K_(sp)//4)^(1//3)`

Options

A. `BaSO_(4)`
B. `Ca_(3)(PO_(4))_(2)`
C. `Hg_(2)Cl_(2)`
D. `Ag_(3)PO_(4)`

Answer

C

Explanation

`BasO_(4)hArrBa^(2+)+SO_(4)^(2-),K_(sp)=S^(2) " or" S=(K_(sp))^(1//2)`
`Ca_(3)(PO_(4))_(2)hArr3Ca^(2+)+2PO_(4)^(3-),K_(sp)=(3S)^(3)(2S)^(2)=108S^(5) " or" S=(K_(sp)//108)^(1//5)`
`Hg_(2)Cl_(2)hArr Hg_(2)^(2+) + 2 Cl^(-), K_(sp)=S(2S)^(2)=4S^(3) " or" S=(K_(sp)//4)^(1//3)`
`Ag_(3)PO_(4)hArr3Ag^(+)+PO_(4)^(3-), K_(sp)=(3S)^(3)S=27S^(4) "or" S=(K_(sp)//27)^(1//4)`
`CuS hArr Cu^(2+)+S^(2-), K_(sp)=[S][S]=S^(2) "or" S=(K_(sp))^(1//2)`