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

Year 2018, , 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, , 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

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.