The Virial Correction to the Ideal Gas Law: A Primer
Statistical Mechanics
2013-11-21 v2
Abstract
The virial expansion of a gas is a correction to the ideal gas law that is usually discussed in advanced courses in statistical mechanics. In this note we outline this derivation in a manner suitable for advanced undergraduate and introductory graduate classroom presentations. We introduce a physically meaningful interpretation of the virial expansion that has heretofore escaped attention, by showing that the virial series is actually an expansion in a parameter that is the ratio of the effective volume of a molecule to its mean volume. Using this interpretation we show why under normal conditions ordinary gases such as O_2 and N_2 can be regarded as ideal gases.
Keywords
Cite
@article{arxiv.1310.3867,
title = {The Virial Correction to the Ideal Gas Law: A Primer},
author = {Ron Aaron and F. Y. Wu},
journal= {arXiv preprint arXiv:1310.3867},
year = {2013}
}
Comments
Revised title and abstract, and slightly lengthened text