HAL : hal-00592765, version 1

arXiv : 1105.2643

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v1 (13-05-2011)

v2 (16-07-2011)

On the ideal gas law

Jacques Arnaud 1, Laurent Chusseau 1, Fabrice Philippe 2

(13/05/2011)

When a cylinder terminated by a piston, containing $N$ corpuscles, and with height $h$ is raised at temperature $\theta$, the force that the corpuscles exerts on the piston is, to within constant factors: $F=N\,\theta/h$. This law, called the ''ideal gas law'', is valid at any temperature (except at very low temperatures when quantum effects are significant) and for any collection of corpuscles, in a space of arbitrary dimensions. It is usually derived under the assumption that the temperature is proportional to the corpuscle's kinetic energy. We show that this law rests only upon the democritian concept of corpuscles moving in vacuum, postulating that it is independent of the law of motion. This view-point puts aside restrictive assumptions that are sources of confusion. The present paper should accordingly facilitate the understanding of the physical meaning of the ideal gas law. The mathematics is elementary.

1 :	Institut d'Electronique du Sud (IES)
	CNRS : UMR5214 – Université Montpellier II - Sciences et techniques
2 :	Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM)
	CNRS : UMR5506 – Université Montpellier II - Sciences et techniques

Équipe de recherche : INFO/ARITH

Domaine

:

Physique/Physique/Histoire de la Physique Physique/Physique/Physique Classique Physique/Physique/Enseignement de la physique

Mots Clés : Thermodynamics – Ideal gas law – Carnot principle

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Contributeur : Laurent Chusseau <>

Soumis le : Vendredi 13 Mai 2011, 10:10:43

Dernière modification le : Vendredi 13 Mai 2011, 10:12:22