Module 5 : Electrochemistry
Lecture 21 : Review Of Thermodynamics
 
For a constant temperature process from eq.(21.22),
dG = dH –TdS
Since dH =dq +dw + d (PV) from equation eq.(21.9), we have
 
dG = dq – PdV + dw ne + PdV +VdP– TdS (21.37)


     = dw ne +VdP (21.38)
At constant pressure,
dG = dw ne (21.39)
From eq.(21.39), we conclude that the work (other than pV work) obtainable from the system, -dwne equals the decrease in the free energy dG. For a reversible process this is truly the maximum non PV work obtainable from the system, i.e.,
 
-dG = - (dw) ne, reversible (21.40)
In a chemical cell, the work performed by or obtainable from the cell = n F, where n = no of moles electrons transferred during the process occurring at the electrode, F = Faraday = 96500 coulombs and = emf of the cell. From eq.(21.40),
 
G = -n F (21.41)
This will be used in our studies in electrochemistry.