The stability (or formation) constant `(K_(f))` for `[Ag(NH_(3))_(2)]^(+)` is `1.6xx10^(7)`. Calculate the ratio of the concentrations of `[Ag(NH_(3))_(2)]^(+)` and `Ag^(+)` in 0.12M `NH_(3)` solution.

Answer

D

Explanation

`Ag^(+)+2NH_(3)overset(K_(f))hArr[Ag(NH_(3))_(2)]^(+)`
`therefore" Stability constant, "K_(f)=([Ag(NH_(3))_(2)]^(+))/([Ag^(+)][NH_(3)]^(2))=1.6xx10^(7)" (given)"`
`therefore" "([Ag(NH_(3))_(2)]^(+))/([Ag^(+)])=[NH_(3)]^(2)xx(1.6xx10^(7))`
`=(0.12)^(2)xx1.6xx10^(7)=2.304xx10^(5)`