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Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy

Year 2018, Volume: 21 Issue: 1, 55 - 60, 01.03.2018
https://doi.org/10.5541/ijot.383353

Abstract

The present
research is aimed at using the definition of generalized thermodynamic entropy,
as a state and additive property, to extend the canonical Equation of State in
the perspective of thermal or chemical aspect of microscopic configurations
related to inter-particle kinetic energy and inter-particle potential energy
determining macroscopic parameters. As a consequence, a generalized state
equation is formulated accounting for thermal, chemical and mechanical
thermodynamic potentials characterizing any system, large or small, in any
state, equilibrium or non-equilibrium.

References

  • [1] E.P. Gyftopoulos, G.P. Beretta, Thermodynamics: Foundations and Applications, Dover Publication: New York 2005.
  • [2] E.P. Gyftopoulos, “Entropy: An Inherent, Non-statistical Property of any System in any State,” Int. J. of Thermodynamics, 3, 107-115, 2006.
  • [3] G.P. Beretta, “Axiomatic Definition of Entropy for Nonequilibrium States,” Int. J. of Thermodynamics, 2008.
  • [4] E. Zanchini, G.P. Beretta, “Removing Heat and Conceptual Loops from the Definition of Entropy,” Int. J. of Thermodynamics, 13, 2, 67-76, 2008.
  • [5] E. Zanchini, G.P. Beretta, “A Definition of Thermodynamic Entropy Valid for Non-equilibrium States and Few-particle Systems,” arXiv 2014;1411.5395
  • [6] W.R. Dunbar, N. Lior and R.A. Gaggioli “The Component Equations of Energy and Exergy,” J. of Energy Resources Technology, 114, 1992
  • [7] R.A. Gaggioli “Available Energy and Exergy,” Int. J. of Applied Thermodynamics, 1, 1-4, 1-8, 1992
  • [8] R.A. Gaggioli, D.H. Richardson, “Available Energy – Part I: Gibbs Revisited,” Int. J. of Energy Resources Technology, June, 2002
  • [9] R.A. Gaggioli, D.M. Paulus, “Available Energy – Part II: Gibbs Extended,” Transaction of the ASME, June, 2002
  • [10] P. Palazzo, “Theorem of Necessity and Sufficiency of Stable Equilibrium for Generalized Potential Equality between System and Reservoir,” J. of Modern Physics, 5, 2003-2011, 2014
  • [11] P. Palazzo, “A Method to Derive the Definition of Generalized Entropy from Generalized Exergy for Any State in Many-Particle Systems,” Entropy, 2015, doi:10.3390/e170x000x
  • [12] P. Palazzo, “A Generalized Statement of Highest-Entropy Principle for Stable Equilibrium and Non-Equilibrium in Many-Particle Systems,” J. of Modern Physics, 7, 344-357, 2016
  • [13] L. Pogliani, M.N. Berberan-Santos, “Constantin Carathéodori and the Axiomatic Thermodynamics,” J. of Mathemat Chem., 28, 1-3, 2000
  • [14] M. von Spakovsky, “Comparison of the Non-equilibrium Predictions of Quantum Thermodynamics at the Atomistic Level with Experimental Evidence,” IMECE Conference, 2011
  • [15] S.J. Kline, The Low-Down on Entropy and Interpretive Thermodynamics, DCW Industries, 1999, ISBN:1928729-01-0.
  • [16] P. Atkins, J. de Paula, Physical Chemistry, New York, DCW Industries, 1999, ISBN:0-7167-8759-8
  • [17] T.L. Hill, Statistical Mechanics. Principles and Selected Applications, Dover, New York, 1987, 2015;17:710-754, doi:103390/e17020710
  • [18] R.F. Checoni, S.P. Ravagnani, “Studies about an Equation of State for Pure Associated Fluids: Temperature Dependent Co-Volume Accounting a Physically Consistent Repulsive Term,” Int. J. of Thermodynamics, 16, 20-27, 2013.
  • [19] R.F. Checoni, M. Aznar, “Comparative Study between Cubic and Non-Cubic Equations of State Using Carnahan-Starling Repulsive Term: Application of Temperature-Dependent Alpha and Beta Functions,” Int. J. of Thermodynamics, 17, 21-26, 2014.
Year 2018, Volume: 21 Issue: 1, 55 - 60, 01.03.2018
https://doi.org/10.5541/ijot.383353

Abstract

References

  • [1] E.P. Gyftopoulos, G.P. Beretta, Thermodynamics: Foundations and Applications, Dover Publication: New York 2005.
  • [2] E.P. Gyftopoulos, “Entropy: An Inherent, Non-statistical Property of any System in any State,” Int. J. of Thermodynamics, 3, 107-115, 2006.
  • [3] G.P. Beretta, “Axiomatic Definition of Entropy for Nonequilibrium States,” Int. J. of Thermodynamics, 2008.
  • [4] E. Zanchini, G.P. Beretta, “Removing Heat and Conceptual Loops from the Definition of Entropy,” Int. J. of Thermodynamics, 13, 2, 67-76, 2008.
  • [5] E. Zanchini, G.P. Beretta, “A Definition of Thermodynamic Entropy Valid for Non-equilibrium States and Few-particle Systems,” arXiv 2014;1411.5395
  • [6] W.R. Dunbar, N. Lior and R.A. Gaggioli “The Component Equations of Energy and Exergy,” J. of Energy Resources Technology, 114, 1992
  • [7] R.A. Gaggioli “Available Energy and Exergy,” Int. J. of Applied Thermodynamics, 1, 1-4, 1-8, 1992
  • [8] R.A. Gaggioli, D.H. Richardson, “Available Energy – Part I: Gibbs Revisited,” Int. J. of Energy Resources Technology, June, 2002
  • [9] R.A. Gaggioli, D.M. Paulus, “Available Energy – Part II: Gibbs Extended,” Transaction of the ASME, June, 2002
  • [10] P. Palazzo, “Theorem of Necessity and Sufficiency of Stable Equilibrium for Generalized Potential Equality between System and Reservoir,” J. of Modern Physics, 5, 2003-2011, 2014
  • [11] P. Palazzo, “A Method to Derive the Definition of Generalized Entropy from Generalized Exergy for Any State in Many-Particle Systems,” Entropy, 2015, doi:10.3390/e170x000x
  • [12] P. Palazzo, “A Generalized Statement of Highest-Entropy Principle for Stable Equilibrium and Non-Equilibrium in Many-Particle Systems,” J. of Modern Physics, 7, 344-357, 2016
  • [13] L. Pogliani, M.N. Berberan-Santos, “Constantin Carathéodori and the Axiomatic Thermodynamics,” J. of Mathemat Chem., 28, 1-3, 2000
  • [14] M. von Spakovsky, “Comparison of the Non-equilibrium Predictions of Quantum Thermodynamics at the Atomistic Level with Experimental Evidence,” IMECE Conference, 2011
  • [15] S.J. Kline, The Low-Down on Entropy and Interpretive Thermodynamics, DCW Industries, 1999, ISBN:1928729-01-0.
  • [16] P. Atkins, J. de Paula, Physical Chemistry, New York, DCW Industries, 1999, ISBN:0-7167-8759-8
  • [17] T.L. Hill, Statistical Mechanics. Principles and Selected Applications, Dover, New York, 1987, 2015;17:710-754, doi:103390/e17020710
  • [18] R.F. Checoni, S.P. Ravagnani, “Studies about an Equation of State for Pure Associated Fluids: Temperature Dependent Co-Volume Accounting a Physically Consistent Repulsive Term,” Int. J. of Thermodynamics, 16, 20-27, 2013.
  • [19] R.F. Checoni, M. Aznar, “Comparative Study between Cubic and Non-Cubic Equations of State Using Carnahan-Starling Repulsive Term: Application of Temperature-Dependent Alpha and Beta Functions,” Int. J. of Thermodynamics, 17, 21-26, 2014.
There are 19 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Regular Original Research Article
Authors

Pierfrancesco Palazzo 0000-0002-5852-0530

Publication Date March 1, 2018
Published in Issue Year 2018 Volume: 21 Issue: 1

Cite

APA Palazzo, P. (2018). Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy. International Journal of Thermodynamics, 21(1), 55-60. https://doi.org/10.5541/ijot.383353
AMA Palazzo P. Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy. International Journal of Thermodynamics. March 2018;21(1):55-60. doi:10.5541/ijot.383353
Chicago Palazzo, Pierfrancesco. “Thermal and Chemical Aspect in Equation of State and Relation With Generalized Thermodynamic Entropy”. International Journal of Thermodynamics 21, no. 1 (March 2018): 55-60. https://doi.org/10.5541/ijot.383353.
EndNote Palazzo P (March 1, 2018) Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy. International Journal of Thermodynamics 21 1 55–60.
IEEE P. Palazzo, “Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy”, International Journal of Thermodynamics, vol. 21, no. 1, pp. 55–60, 2018, doi: 10.5541/ijot.383353.
ISNAD Palazzo, Pierfrancesco. “Thermal and Chemical Aspect in Equation of State and Relation With Generalized Thermodynamic Entropy”. International Journal of Thermodynamics 21/1 (March 2018), 55-60. https://doi.org/10.5541/ijot.383353.
JAMA Palazzo P. Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy. International Journal of Thermodynamics. 2018;21:55–60.
MLA Palazzo, Pierfrancesco. “Thermal and Chemical Aspect in Equation of State and Relation With Generalized Thermodynamic Entropy”. International Journal of Thermodynamics, vol. 21, no. 1, 2018, pp. 55-60, doi:10.5541/ijot.383353.
Vancouver Palazzo P. Thermal and Chemical Aspect in Equation of State and Relation with Generalized Thermodynamic Entropy. International Journal of Thermodynamics. 2018;21(1):55-60.