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Concentration of the Ag^(+) ions in a sa...

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:

A

`2.42 xx 10^(-8)`

B

`2.66 xx 10^(-12)`

C

`4.5 xx 10^(-11)`

D

`5.3 xx 10^(-12)`

Text Solution

Verified by Experts

The correct Answer is:
D
`Ag_(2)C_(2)O_(4)(s) hArr underset (2s)(2Ag^(+)) +underset (s)(C_(2)O_(4)^(2-))`
`2s = 2.2 xx 10^(-4) rArr s = 1.1 xx 10^(-4)`
`K_(sp) = (Ag^(+))^(2) (C_(2)O_(4)^(2-))`
`K_(sp) = (Ag^(+))^(2) (C_(2)O_(4)^(2-))`
`K_(sp) = (2s)^(2) (s) rArr K_(sp) = 4s^(2) xx s`
`K_(sp) = 4s^(3) = 4(1.1 xx 10^(-4))^(3)`
`= 5.3 xx 10^(-12)`
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