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A Method to Derive the Definition of Generalized Entropy from Generalized Exergy for Any State in Many-Particle Systems

Authors :
Pierfrancesco Palazzo
Source :
Entropy, Vol 17, Iss 4, Pp 2025-2038 (2015)
Publication Year :
2015
Publisher :
MDPI AG, 2015.

Abstract

The literature reports the proofs that entropy is an inherent property of any system in any state and governs thermal energy, which depends on temperature and is transferred by heat interactions. A first novelty proposed in the present study is that mechanical energy, determined by pressure and transferred by work interactions, is also characterized by the entropy property. The second novelty is that a generalized definition of entropy relating to temperature, chemical potential and pressure of many-particle systems, is established to calculate the thermal, chemical and mechanical entropy contribution due to heat, mass and work interactions. The expression of generalized entropy is derived from generalized exergy, which in turn depends on temperature, chemical potential and pressure of the system, and by the entropy-exergy relationship constituting the basis of the method adopted to analyze the available energy and its transfer interactions with a reference system which may be external or constitute a subsystem. This method is underpinned by the Second Law statement enunciated in terms of existence and uniqueness of stable equilibrium for each value of energy content of the system. The equality of chemical potential and equality of pressure are assumed, in addition to equality of temperature, to be necessary conditions for stable equilibrium.

Details

Language :
English
ISSN :
10994300
Volume :
17
Issue :
4
Database :
Directory of Open Access Journals
Journal :
Entropy
Publication Type :
Academic Journal
Accession number :
edsdoj.468544c6f084fb4b9945f342507d5b9
Document Type :
article
Full Text :
https://doi.org/10.3390/e17042025