The mere concept of an ideal gas

Masavetas, KA

dc.contributor.author	Masavetas, KA	en
dc.date.accessioned	2014-03-01T01:07:41Z
dc.date.available	2014-03-01T01:07:41Z
dc.date.issued	1989	en
dc.identifier.issn	0895-7177	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10122
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0024930549&partnerID=40&md5=44bd744539e608ed7be6607ce4094353	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Equations of State	en
dc.subject.other	Mathematical Techniques - Applications	en
dc.subject.other	Thermodynamic Properties	en
dc.subject.other	Definitions	en
dc.subject.other	Ideal Gas	en
dc.subject.other	Gases, Inert	en
dc.title	The mere concept of an ideal gas	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	There exists a tradition to define an ideal gas as one described by the equation of state pV = nRT. The inconsiderate application of this ""definition"" meets with serious reservations because it may lead to a host of conceptual inconsistencies. In this paper the view is expounded that the problem of the rigorous definition of the ideal gas presupposes the accurate determination of the scientific region in which it will be applied and requires the existence of an organized formalism for the mathematical foundation of Thermodynamics in whose ""language"" it will be laid down. From the attempted analysis it is ascertained that instead of speaking of the ideal gas, in reality we should refer, according to the case, to a different class of ideal gases. For each of them alternative definitions are laid down and the equivalence between them, as well as their difference from the respective alternative definitions of another class of ideal gases, is proved. In conclusion, from the whole investigation it comes out that, as a rule, the traditional ""definition"" is simply and solely a necessary, but not sufficient, criterion to define the ""ideal gas"". Depending on the part of Physical Chemistry to which we refer, it is necessary to complement the traditional definition of the ideal gas with other, additional, proper axioms, which are different for each case. Various definitions of the ideal gas are analysed, and changes are proposed. © 1989.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mathematical and Computer Modelling	en
dc.identifier.isi	ISI:A1989U707700005	en
dc.identifier.volume	12	en
dc.identifier.issue	6	en
dc.identifier.spage	651	en
dc.identifier.epage	657	en