Concentration of the `Ag^+`ions in a saturated solution of `Ag_2 C_2 O_4` is `2.24xx10^-4 mol L^-1` solubility product of `Ag_2 C_2 O_4` is

Options

A. `2.42 times 10^(-8)" mol^(3)L^(-3)`
B. `2.66 times 10^(-12)" mol^(3)L^(-3)`
C. `4.5 times 10^(-11)" mol"^(3)L^(-3)`
D. `5.619 times 10^(-12) "mol"^(3)L^(-3)`

Explanation

`Ag_(2)C_(2)O_(4) iff 2Ag^(+)+C_(2)O_(4)""^(2-)`
`[Ag^(+)]=2.24 times 10^(-4)" mol "L^(-1)`
`[C_(2)O_(4)""^(2-)]=(2.24 times 10^(-4))/2" mol "L^(-1)`
`" "=1.12 times 10^(-4)" mol "L^(-1)`
`K_(sp)=[Ag^(+)]^(2)[C_(2)O_(4)""^(2-)]`
`" "=(2.24 times 10^(-4)" mol "L^(-1))^(2)(1.12 times 10^(-4)" mol "L^(-1))`
`" "=5.619 times 10^(-12)" mol"^(3)L^(-3)`