Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T08:31:01.790Z Has data issue: false hasContentIssue false

The Equation of State of a Gas

Published online by Cambridge University Press:  24 October 2008

J. E. Jones
Affiliation:
1851 Exhibition Senior Research Student, Trinity College, Cambridge.

Extract

§ 1. Most of the methods which have been devised to give an equation of state of more generality than that of Van der Waals differ from the original method used by him in that they refer only to the uniform conditions in the interior of the gas while his had special reference to the conditions at the boundary. In fact, one of the corrections to the perfect gas law introduced by him is due entirely to the existence of a boundary field of force. The question arises as to what physical interpretation is to be given to the more general equation. The methods previously employed leave the interpretation obscure. In this note two new methods of obtaining the equation of state are given, one applicable to the interior of a gas, the other to the boundary. These methods seem to have certain advantages over those previously given in that they lend themselves to a very simple physical interpretation. While the pressure at the boundary of a gas is the same as that in the interior, the word pressure has a different meaning in the two cases. At the boundary, it is due entirely to the motion of the molecules, whereas in the interior part only is due to the motion of the molecules; this part is the same whatever the nature of the molecules and is in fact given by the perfect gas law. The remaining part is due to the stress set up by the existence of intermolecular fields and, although at any given point it is a fluctuating function of the time, it has everywhere within the gas the same statistical mean value. In this paper, it is referred to as the statical pressure to distinguish it from the more usually understood dynamical or momentum pressure.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1924

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Clausius, , Phil. Mag. 08 1870Google Scholar; Jeans, , Dynamical Theory of Gases, 1921, p. 129.Google Scholar

Keesom, , Communications from the Phys. Lab., Leiden, Supp. 24, 1912.Google Scholar

Boltzmann, , Gastheorie, II, § 61.Google Scholar

§ Core, , Phil. Mag. 08 1923, p. 256.CrossRefGoogle Scholar

* Fowler, , Phil. Mag. 05 1922, p. 785.CrossRefGoogle Scholar

Core, , Phil. Mag. 03 1923, p. 622.CrossRefGoogle Scholar

* I adopt Fowler's suggestion (Phil. Mag. 43, p. 791, 1922) and use 2j here instead of the more usual 2h.Google Scholar

Fowler, , loc. cit. p. 792.Google Scholar

* Jeans, , Dynamical Theory of Gases, p. 130.Google Scholar

* Fowler, , loc. cit.Google Scholar

* Fowler, , loc. cit. p. 794.Google Scholar