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The polytropic (adiabatic) index for pure hydrogen plasma is analyticallycalculated as function of reciprocal temperature and degree of ionization.Additionally, the polytropic index is graphically represented as a function oftemperature and density. It is concluded that the partially ionized hydrogenplasma cannot be exactly polytropic. The calculated deviations from themono-atomic value 5/3 are measurable. The analytical result for pure hydrogenplasma is a test example how this approach can be extended for arbitrary gascocktail.

On the Influence of the Ionization-Recombination Processes on Hydrogen Plasma Polytropic Index