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An ideal classical gas can be defined as one gas with a fixed number of particles...

An ideal classical gas can be defined as one gas with a fixed number of particles at a fixed temperature which satisfies the following conditions:

1. the internal energy does not depend on the volume

2. the enthalpy does not depend on the pressure

Use this definition to derive the equation of state pV = N kT by employing appropriate thermodynamic potentials and exploiting Maxwell relations.

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