Internal Energy of Ideal Gases Microscopic View

Since transport properties, such as viscosity and drffusivity, are also related to these same potential functions, data for the transport properties, particularly viscosity, are also used to provide values for and a. Note, however, that any deficiency in the potential function influences the calculation of values in different ways, and the same molecular parameters obtained from different data sources are rarely in exact agreement. 

In these equations the quantity N arises because in the summation process the molecules are treated as distinguishable from one another, whereas in fact they are indistingnishable. The translational contribution comes from kinetic theory, whereas the intramolecnlar contributions derive from quanhim mechanics, with the qnantizedenergy levels deteiminedfrom appropriate spectroscopic measurements. 

For one mole of an ideal gas, tire eqnationfor the translational partitionfunction is  

Differentiationof Eq. (16.16) with respect to temperature at constant V (and Na) yields  

Representing the final temi by J- T) and noting tliat AaA = R reduces tliis to  

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Internal Energy of Ideal Gases Microscopic View... 

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