An undergraduate exercise in the First Law of Relativistic Thermodynamics

The isothermal compression of an ideal gas is analysed using a Rel-ativistic Thermodynamics formalism based on the Principle of Inertia of Energy (Einstein’s Equation) and the Asynchronous Formulation [G Cavalleri, and G Salgarelli, Revision of the relativistic dynamics with va-riable rest mass and application to relativistic thermodynamics, Nuovo Cimento 42, 722-754 (1969)], which is similar to the formalism devel-oped by Van Kampen [N G van Kampen, Relativistic thermodynamic