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Entropy 2013, 15(9), 3379-3395; doi:10.3390/e15093379

A New Perspective on Classical Ideal Gases

1
Mas Liron, F30440 Saint Martial, France
2
IES, UMR n°214 au CNRS, Université Montpellier II, F34095 Montpellier, France
3
Université Montpellier III and LIRMM, UMR °506 au CNRS, 161 rue Ada, F34392 Montpellier, France
*
Author to whom correspondence should be addressed.
Received: 19 June 2013 / Revised: 24 July 2013 / Accepted: 13 August 2013 / Published: 29 August 2013
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Abstract

The ideal-gas barometric and pressure laws are derived from the Democritian concept of independent corpuscles moving in vacuum, plus a principle of simplicity, namely that these laws are independent of the kinetic part of the Hamiltonian. A single corpuscle in contact with a heat bath in a cylinder and submitted to a constant force (weight) is considered. The paper importantly supplements a previously published paper: First, the stability of ideal gases is established. Second, we show that when walls separate the cylinder into parts and are later removed, the entropy is unaffected. We obtain full agreement with Landsberg’s and others’ (1994) classical thermodynamic result for the entropy of a column of gas submitted to gravity.
Keywords: ideal gas law; corpuscular concepts; classical gas theory; canonical single-corpuscle thermodynamics; gas stability; Gibbs paradox ideal gas law; corpuscular concepts; classical gas theory; canonical single-corpuscle thermodynamics; gas stability; Gibbs paradox
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Arnaud, J.; Chusseau, L.; Philippe, F. A New Perspective on Classical Ideal Gases. Entropy 2013, 15, 3379-3395.

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