Q.
Using the Gibbs energy change, ΔG∘=+63.3kJ for the following reaction,
Ag2CO3(s)⇌2Ag+(aq)+CO32−(aq)
the Ksp of Ag2CO3(s) in water at 25∘C is
(R=8.314JK−1mol−1)
ΔG∘ is related to Ksp by the equation ΔG∘=−2.303RTlogKsp
Given, ΔG∘=+63.3KJ =63.3×103J
Thus, substitute ΔG∘=63.3×103J R=8.314JK−1mol−1 and T=298K[25+273K]
from the above equation to get 63.3×103=−2.303×8.314×298logKsp ∴logKsp=−11.09 ⇒Ksp=antilog(−11.09) Ksp=8.0×10−12