Some chemists at wished to perpare a saturated solution of a silver compound and they wanted it to have the highest concentration of silver ion possible. Which of the following compound would they use ?
`K_(sp) (AgCI) = 1.8 xx 10^(-10), K_(sp) (AgBr) = 5.0 xx 10^(-13)`,
`K_(sp) (Ag_(2)CrO_(4)) = 2.4 xx 10^(-12) ["Use" 3sqrt(0.6) = 0.84]`

Options

A. `AgCI`
B. `AgBr`
C. `Ag_(2)CrO_(4)`
D. all of these

Answer

C

Explanation

Find the `[Ag^(o+)]` in all the saturated solutions.
`[Ag^(o+)]_("in" AgCI) = sqrt(K_(sp) AgCI) = sqrt(1.8 xx 10^(-10))M`,
`[Ag^(o+)]_("in" AgBr) = sqrt(K_(sp)AgBr) = sqrt(5.0 xx 10^(-13))M`
`[Ag^(o+)]_("in" Ag_(2)CrO_(4)) = 2 3root(3)((K_(sp)Ag_(2)CrO_(4))/(4))`
`=2root(3)((2.4xx10^(-12))/(4))M`
`rArr [Ag^(o+)]` is maximum is staurated solution of `Ag_(2)CrO_(4)`.