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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

`3.2 xx10^(-26)`

B

`8.0 xx10^(-12)`

C

`2.9xx10^(-3)`

D

`7.9xx10^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`triangle G^(@)=-2.303 RT log K_(sp)`
Here `triangle G^(@) =+63.3 kJ =63.3xx10^(3) J`
`R=8.314 JK^(-) "mol"^(-1)`
`63.3xx10^(3)=23.03 xx8.314 xx2981 log k_("sp")`
`therefore log k_(sp) =-11.09 rarrk_(sp) ="antilog"(-11.09)`
`k_(sp) =81.128 xx10^(-12)=8.0 xx10^(-12)`
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