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== Types of ideal gas == There are three basic classes of ideal gas:{{citation needed|reason=to verify this whole section|date=June 2017}} * the classical or [[Maxwell–Boltzmann statistics|Maxwell–Boltzmann]] ideal gas, * the ideal quantum [[Bose gas]], composed of [[boson]]s, and * the ideal quantum [[Fermi gas]], composed of [[fermion]]s. The classical ideal gas can be separated into two types: The classical thermodynamic ideal gas and the ideal quantum Boltzmann gas. Both are essentially the same, except that the classical thermodynamic ideal gas is based on classical [[statistical mechanics]], and certain thermodynamic parameters such as the [[entropy]] are only specified to within an undetermined additive constant. The ideal quantum Boltzmann gas overcomes this limitation by taking the limit of the quantum Bose gas and quantum Fermi gas in the limit of high temperature to specify these additive constants. The behavior of a quantum Boltzmann gas is the same as that of a classical ideal gas except for the specification of these constants. The results of the quantum Boltzmann gas are used in a number of cases including the [[Sackur–Tetrode equation]] for the entropy of an ideal gas and the [[Saha ionization equation]] for a weakly ionized [[plasma (physics)|plasma]].
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