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Enthalpy of the monatomic ideal gas
The internal energy of the monatomic ideal gas is given by
For the enthalpy it follows with the ideal gas law
As expected, the enthalpy is independent of the pressure for the ideal gas. For the molar heat capacity at constant pressure, the derivation of Eq. (2) after
which results in the difference in the molar heat capacities
Always there for ideal gases applies, shows here as with the internal energy of ideal gases but in a different way that the difference for any particle always equal to the gas constant is as far as the gas shows ideal behavior.