Concentration of the `Ag^(+) `ions in a saturated solution of `Ag_2C_2O_4` is ` 2.2 xx 10 ^(-4) " mol " L^(-1) ` , Solubility product of `Ag_2C_2O_4` is
(a)` 2.42 xx 10^(-8)`
(b)` 2.66 xx 10^(-12)`
(c)` 4.5 xx 10^(-11)`
(d)` 5.3 xx 10 ^(-12)`

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)`