If a solution contains `10^(-6)M` each of `X^(-),Y^(-2)` and `Z^(3-)` ions, than upon addition of `AgNO_(3)(s)` slowly to the above solution with striing `: (` Given `: K_(sp)(AgX)=9xx10^(-14),K_(sp)(Ag_(2)Y)=4.9xx10^(-21),K_(sp)(Ag_(3)Z)=5.12xx10^(-29))`

Options

A. `Ag_(3)Z` will be the first one to precipitate out.
B. `Ag_(2)Y` will be the first one to precipitate out.
C. `AgX` will be the first one to precipitate out.
D. Nothing can be said with certainity.

Answer

2

Explanation

`[Ag^(+)]` req for pptation of `AgX=(K_(sp))/([X^(-)])=(9xx10^(-14))/(10^(-6))=9xx10^(-8)M`
`[Ag^(+)]` req for pptation of `Ag_(2)Y=sqrt((K_(sp))/([y^(-)]))=sqrt((4.9xx10^(-21))/(10^(-8)))=7xx10^(-8)M`
`[Ag^(+)]` rep for pptation of `Ag_(3)Z=3sqrt((K_(sp))/([z^(-)]))=3sqrt((5.12xx10^(-28))/(10^(-6)))=8xx10^(-8)M`
clearly, `[Ag^(+)]` req for pptation of `Ag_(2)Y` is minimum.
`:. Ag_(2)Y` will be the first one to pricipitate out.