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chemical engineering thermodynamics / September 28, 2021

DERIVING MAXWELL’S RELATIONS

So far we have derived the differential forms of the four thermodynamic potentials in which we’re interested and have identified their natural variables. This is summarised in the following table:ContentsINTERNAL ENERGY MAXWELL RELATIONENTHALPY MAXWELL RELATION INTERNAL ENERGY MAXWELL RELATION Let’s start by again considering the differential form of the internal energy, given by dU=TdS−PdV. Consider now U as […]

By · September 28, 2021 · 1 min read

So far we have derived the differential forms of the four thermodynamic potentials in which we’re interested and have identified their natural variables. This is summarised in the following table:

Contents

INTERNAL ENERGY MAXWELL RELATION

Let’s start by again considering the differential form of the internal energy, given by dU=TdS−PdV. Consider now U as a function of entropy, S, and volume, V, such that U=U(S,V). Notice that these are the natural variables of internal energy. We can now write the total differential of U(S,V) as:

ENTHALPY MAXWELL RELATION