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Thermodynamic Potentials and Maxwell’s Relations

Thermodynamic Potentials and maxwell s RelationsStephen R. AddisonFebruary 25, 2003 IntroductionIn this lecture we introduce other Thermodynamic Potentials and maxwell energy and entropy representationsWe have noted that bothS(U,V,N)andU(S,V,N)contain complete Thermodynamic will use the fundamental Thermodynamic identitydU=TdS pdV+ dNas an aid to memorizing the of temperature, pressure, and chemical potential from the considerationof equilibrium conditions. by calculating the appropriate partial derivatives we have( U S)V,N=T,( U V)S,N= p,and( U N)S,N=.

This result is called a Maxwell relation. By considering the other second partial derivatives, we find two other Maxwell relations from the energy representation of the fundamental thermodynamic identity. These are: ∂T ∂N! S,V = ∂µ ∂S! V,N and− ∂p ∂N! S,V = ∂µ ∂V! S,N. Similarly, in the entropy representation, starting from ...

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