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Concentration of the Ag ions in a satura...

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

`2.66 xx 10^(-12)`

B

`4.5 xx 10^(-11)`

C

`5.3 xx 10^(-12)`

D

`2.42 xx 10^(-8)`

Text Solution

Verified by Experts

The correct Answer is:
C

Let solubility of `AgC_2O_4` be s mol `L^(-1)`
`underset(s)(Ag_(2)C_(2)O_(4(s)) Leftrightarrow underset(2s)(2Ag_(aq)^(+))+underset(s)(C_(2)O_(4(aq))^(2-)`
`K_(sp)=(2s)^2 (s) rArr 4s^3`
`K_(sp)=4 xx (1.1 xx 10^(-4))^(3) (therefore [Ag^(+)] =2s=2.2 xx 10^(-4))`
`K_(sp) approx 5.3 xx 10^(-12)`
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