The solubility of `CH_(3)COOAg` in a buffer solution with `pH = 4`, whose `K_(sp) = 10^(-12)` and `K_(a) = (10^(-4))/(3)` is

Options

A. `10^(-6)`
B. `0.5 xx 10^(-6)`
C. `5 xx 10^(-6)`
D. `2 xx 10^(-6)`

Answer

D

Explanation

Solubility of salt of `W_(A)` is given by the formula
`S = [K_(sp)(1+(H^(o+))/(K_(a)))]^(1//2)`
`=[10^(-12)(1+(10^(-4)xx3)/(10^(-4)))]^(1//2)`
`= 2 xx 10^(-6)M`