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Entropy 2015, 17(4), 2025-2038; doi:10.3390/e17042025

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

Technip, Viale Castello della Magliana 68, 00148 Rome, Italy
Academic Editor: Marc A. Rosen
Received: 2 February 2015 / Revised: 20 March 2015 / Accepted: 20 March 2015 / Published: 7 April 2015
(This article belongs to the Special Issue Exergy: Analysis and Applications)
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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. View Full-Text
Keywords: many-particle systems; available energy; second law; stable equilibrium; non-equilibrium; generalized exergy; generalized entropy; generalized potential; generalized reservoir many-particle systems; available energy; second law; stable equilibrium; non-equilibrium; generalized exergy; generalized entropy; generalized potential; generalized reservoir
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Palazzo, P. A Method to Derive the Definition of Generalized Entropy from Generalized Exergy for Any State in Many-Particle Systems. Entropy 2015, 17, 2025-2038.

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