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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 T

C.p, m=HmTp=52R.

which results in the difference in the molar heat capacities

C.p, m-C.V, m=52R.-32R.=R.

Always there for ideal gasespVm=R.T applies, shows here as with the internal energy of ideal gases but in a different way that the difference C.p, m-C.V, m for any particle always equal to the gas constant R. is as far as the gas shows ideal behavior.


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