What is the concentration of `Ag^(+) ion` in a `1 L` solution containing `0.02 mol` of `AgNO_(3)` and `0.14 mol` of `NH_(3)` ? For `[Ag(NH_(3))_(2)]^(+), K_(I nstab)=10^(8)`

Options

A. `2xx10^(-7) (M)`
B. `10^(-8) (M)`
C. `2xx10^(-8) (M)`
D. `2xx10^(-9) (M)`

Answer

C

Explanation

`Ag^(+)+2NH_(3)overset(K=10^(8))underset(larr)(rarr)Ag(NH_(3))_(2)^(+)`
`10^(8)=([Ag(NH_(3))_(2)^(+)])/([Ag^(+)][NH_(3)]_(2))=(0.02)/([Ag^(+)]xx0.01)`
`[Ag^(+)]=2xx10^(-8)(M)`