The solubility product `(K_(sp))` of the following compounds are given at `25^(@)C`
`{:("Compound",,"K"_(sp)),("AgCl",,1.1xx10^(-10)),(Agl,,1.0xx10^(-16)),(PbCrO_(4),,4.0xx10^(-14)),(Ag_(2)CO_(3),,8.0xx10^(-12)):}`
The most soluble and least soluble compound are respectively

Options

A. `AgCl and PbCrO_(4)`
B. `AgI and Ag_(2)CO_(3)`
C. `AgCl and Ag_(2)CO_(3)`
D. `Ag_(2)CO_(3) and AgI`

Answer

D

Explanation

The 1 st three salts are of the type AB for which
`S=sqrt(K_(sp))`, i.e., `10^(-5) M (AgCl), 10^(-8) M (AgI), 2xx10^(-7)M (PbCrO_(4))`. Last salt is of the type `A_(2)B` for which `S=(K_(sp)//4)^(1//3)=(2xx10^(-12))^(1//3)~=10^(-4)` M. Thus, most soluble is `Ag_(2)CO_(3)` and least soluble is AgI.