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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

`3.2xx20^(-26)`

B

`8.0xx10^(-12)`

C

`2.9xx10^(-3)`

D

`7.9xx10^(-12)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Delta G^(@) = - 2.303 ` RT log `K_(sp)`
`63.3xx10^(3)J =- 2.303xx8.314xx298 log K_(sp)`
`=-5705. 84 log K_(sp)`
or log `K_(sp)=(63.3xx10^(3))/(57.5.84)=-11.09`
`:. K_(sp)=` antilog `(bar(12).91)`
`=8.128xx10^(-12)`
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