What is the molar solubility of `Ag_(2)CO_(3)` `(K_(sp)=4xx10^(-13))` in 0.1 M `NaCO_(3)` solution?

Options

A. `10^(-6)`
B. `10^(-7)`
C. `2xx10^(-6)`
D. `2xx10^(-7)`

Answer

1

Explanation

Let solubility of `Ag_(2)CO_(3)` in presence in `Na_(2)CO_(3)` is x,
`{:(Ag_(2)CO_(3)(s),hArr,2Ag^(+)(aq.),+,CO_(3)^(2-)(aq.)),(,,2x,,(x+0.1)~=0.1):}`
`K_(sp)=[Ag^(+)]^(2)[CO_(3)^(2-)]`
`rArr4xx10^(-15)=(2x)^(2)xx0.1" "rArrx=10^(-6)`