How do you define Chemical potential of a species i in U, H, G
and A. and how they are
related to each other?
Chemical potential is energy required to add or release a particle from a given species.
So In tyermodynamic relations change in internal energy of a recation we write as
So chemical potential gor i th particle change on constant Volume ans entroy we write as
Now gibbs free energy
so,
now substituting for dU
we get
so,we define for constant T and P
similarly
we write
Substitute for dU
so,
simlarly
A= U-TS
So,
dA= dU-TdS-SdT
so,
so,
How do you define Chemical potential of a species i in U, H, G and A....
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