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Using the Gibbs energy change, Delta G^(...

Using the Gibbs energy change, `Delta G^(@)=+ 63.3 kJ`, for the following reaction,
`Ag_(2)CO_(3)hArr2Ag^(+)(aq)+CO_(3)^(2-)`
the `K_(sp)` of `Ag_(2)CO_(3)(s)` in water at `25^(@)C` is
`(R=8.314 JK^(-1)mol^(-1))`

A

`3.2xx10^(-26)`

B

`8.0xx10^(-12)`

C

`2.9xx10^(-3)`

D

`7.9xx10^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaG=-2.303logK`
Here `K=[Ag^(+)]^(2)[CO_(3)^(2-)]=K_(sp)theta`
`:.63.3xx10^(-3)=-32.303xx8.314xx298logK_(sp)`
`:.logK_(sp)=-(63.3xx10^(-3))/(5705.8)=-11.09`
`:.K_(sp)=8xx10^(-12)`
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