Chemistry

Enthalpy

Enthalpy


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Enthalpy of the monatomic ideal gas

The internal energy of the monatomic ideal gas is given by

Um=32R.T+Um,0.

For the enthalpy it follows with the ideal gas law

Hm=Um+pVm=Um+R.T=52R.T+Um,0.

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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