Concentration of the `Ag^(+)` ions in a saturated solution of `Ag_(2)CO_(2)O_(4)` is `2.2xx10^(-4) mol L^(-1)` Solubility product of `Ag_(2)C_(2)O_(4)` is:

Options

A. `2.42xx10^(-8)`
B. `2.66 xx 10^(-12)`
C. `4.5 xx 10^(-11)`
D. ` 5.3 xx 10^(-12)`

Answer

D

Explanation

`Ag_(2)C_(2)O_(4)(s) iff 2 underset(2s)(Ag^(+)(aq))+underset(s)(C_(2)O_(4)^(2-)(aq))`
`K_(sp)=[Ag^(+)]^(2)[C_(2)O_(4)^(2-)]`
`[Ag^(+)]=2.2xx10^(-4)M`
`:. [C_(1)O_(2)^(1-)]=(2.2xx10^(-2))/(2)M=1.1xx10^(-2) M`
`:. K_(SP)=(2.2 xx 10^(-4))^(2)(1.1xx10^(-4))`
`=5.324 xx 10^(-12)`