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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

`2.9 X 10^-3 `

B

`2.9 X 10^-3 `

C

`3.2 x 10^-26`

D

`8.0 x 10^-12 `

Text Solution

Verified by Experts

The correct Answer is:
D

`Delta G^@ =- 2.303 RT log K_(sp)`
63300 =-2.303 ` xx 8.314 xx 298 log K_(SP)`
`K_(SP) = 8 xx 10^(-12)`
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