Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid

Kenneth Osondu Monago; Charles Otobrise

doi:doi:10.11648/j.ijctc.20150304.11

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Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid

Kenneth Osondu Monago, Charles Otobrise

Published in International Journal of Computational and Theoretical Chemistry (Volume 3, Issue 4)

Received: 5 September 2015 Accepted: 21 September 2015 Published: 10 October 2015

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Abstract

A fourth - order virial equation of state was combined with the Lennard – Jones potential and the Axilrod - Teller triple - dipole potential to determine the thermodynamic properties of argon in the gas phase. The fourth virial coefficient is exact at the level of graphs with at most three non - additive three - body potentials. The model parameters were determined in a fit to the speed - of - sound data. The equation of state predicted the second (volumetric and acoustic) and the fourth acoustic virial coefficients of argon, but failed to give quantitative predictions of the third (volumetric and acoustic) and the fourth volumetric virial coefficients. For the third and fourth volumetric virial coefficients in which the equation of state failed to provide quantitative predictions, it nevertheless provided qualitatively accurate information on the variation of thesefunctions with temperature.In the region of the critical point, the model can be used for exploratory calculations at densities up to about 0.9ρ_c.

Published in	International Journal of Computational and Theoretical Chemistry (Volume 3, Issue 4)
DOI	10.11648/j.ijctc.20150304.11
Page(s)	28-33
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Lennard - Jones Potential, Volumetric Virial Coefficients of Argon, Acoustic Virial Coefficients of Argon, Fourth Virial Coefficients of Argon, Axilrod - Teller Triple - Dipole Potential

References

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Kenneth Osondu Monago, Charles Otobrise. (2015). Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid. International Journal of Computational and Theoretical Chemistry, 3(4), 28-33. https://doi.org/10.11648/j.ijctc.20150304.11

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ACS Style

Kenneth Osondu Monago; Charles Otobrise. Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid. Int. J. Comput. Theor. Chem. 2015, 3(4), 28-33. doi: 10.11648/j.ijctc.20150304.11

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AMA Style

Kenneth Osondu Monago, Charles Otobrise. Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid. Int J Comput Theor Chem. 2015;3(4):28-33. doi: 10.11648/j.ijctc.20150304.11

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@article{10.11648/j.ijctc.20150304.11,
  author = {Kenneth Osondu Monago and Charles Otobrise},
  title = {Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid},
  journal = {International Journal of Computational and Theoretical Chemistry},
  volume = {3},
  number = {4},
  pages = {28-33},
  doi = {10.11648/j.ijctc.20150304.11},
  url = {https://doi.org/10.11648/j.ijctc.20150304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijctc.20150304.11},
  abstract = {A fourth - order virial equation of state was combined with the Lennard – Jones potential and the Axilrod - Teller triple - dipole potential to determine the thermodynamic properties of argon in the gas phase. The fourth virial coefficient is exact at the level of graphs with at most three non - additive three - body potentials. The model parameters were determined in a fit to the speed - of - sound data. The equation of state predicted the second (volumetric and acoustic) and the fourth acoustic virial coefficients of argon, but failed to give quantitative predictions of the third (volumetric and acoustic) and the fourth volumetric virial coefficients. For the third and fourth volumetric virial coefficients in which the equation of state failed to provide quantitative predictions, it nevertheless provided qualitatively accurate information on the variation of thesefunctions with temperature.In the region of the critical point, the model can be used for exploratory calculations at densities up to about 0.9ρc.},
 year = {2015}
}

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TY  - JOUR
T1  - Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid
AU  - Kenneth Osondu Monago
AU  - Charles Otobrise
Y1  - 2015/10/10
PY  - 2015
N1  - https://doi.org/10.11648/j.ijctc.20150304.11
DO  - 10.11648/j.ijctc.20150304.11
T2  - International Journal of Computational and Theoretical Chemistry
JF  - International Journal of Computational and Theoretical Chemistry
JO  - International Journal of Computational and Theoretical Chemistry
SP  - 28
EP  - 33
PB  - Science Publishing Group
SN  - 2376-7308
UR  - https://doi.org/10.11648/j.ijctc.20150304.11
AB  - A fourth - order virial equation of state was combined with the Lennard – Jones potential and the Axilrod - Teller triple - dipole potential to determine the thermodynamic properties of argon in the gas phase. The fourth virial coefficient is exact at the level of graphs with at most three non - additive three - body potentials. The model parameters were determined in a fit to the speed - of - sound data. The equation of state predicted the second (volumetric and acoustic) and the fourth acoustic virial coefficients of argon, but failed to give quantitative predictions of the third (volumetric and acoustic) and the fourth volumetric virial coefficients. For the third and fourth volumetric virial coefficients in which the equation of state failed to provide quantitative predictions, it nevertheless provided qualitatively accurate information on the variation of thesefunctions with temperature.In the region of the critical point, the model can be used for exploratory calculations at densities up to about 0.9ρc.
VL  - 3
IS  - 4
ER  -

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Author Information

Kenneth Osondu Monago

Department of Pure and Industrial Chemistry, University of Port - Harcourt, Choba, Port - Harcourt, Nigeria
Charles Otobrise

Department of Chemistry, Delta State University, Abraka, Nigeria

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APA Style

Kenneth Osondu Monago, Charles Otobrise. (2015). Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid. International Journal of Computational and Theoretical Chemistry, 3(4), 28-33. https://doi.org/10.11648/j.ijctc.20150304.11

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ACS Style

Kenneth Osondu Monago; Charles Otobrise. Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid. Int. J. Comput. Theor. Chem. 2015, 3(4), 28-33. doi: 10.11648/j.ijctc.20150304.11

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AMA Style

Kenneth Osondu Monago, Charles Otobrise. Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid. Int J Comput Theor Chem. 2015;3(4):28-33. doi: 10.11648/j.ijctc.20150304.11

Copy | Download

@article{10.11648/j.ijctc.20150304.11,
  author = {Kenneth Osondu Monago and Charles Otobrise},
  title = {Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid},
  journal = {International Journal of Computational and Theoretical Chemistry},
  volume = {3},
  number = {4},
  pages = {28-33},
  doi = {10.11648/j.ijctc.20150304.11},
  url = {https://doi.org/10.11648/j.ijctc.20150304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijctc.20150304.11},
  abstract = {A fourth - order virial equation of state was combined with the Lennard – Jones potential and the Axilrod - Teller triple - dipole potential to determine the thermodynamic properties of argon in the gas phase. The fourth virial coefficient is exact at the level of graphs with at most three non - additive three - body potentials. The model parameters were determined in a fit to the speed - of - sound data. The equation of state predicted the second (volumetric and acoustic) and the fourth acoustic virial coefficients of argon, but failed to give quantitative predictions of the third (volumetric and acoustic) and the fourth volumetric virial coefficients. For the third and fourth volumetric virial coefficients in which the equation of state failed to provide quantitative predictions, it nevertheless provided qualitatively accurate information on the variation of thesefunctions with temperature.In the region of the critical point, the model can be used for exploratory calculations at densities up to about 0.9ρc.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Fourth Order Virial Equation of State of a Nonadditive Lennard - Jones Fluid
AU  - Kenneth Osondu Monago
AU  - Charles Otobrise
Y1  - 2015/10/10
PY  - 2015
N1  - https://doi.org/10.11648/j.ijctc.20150304.11
DO  - 10.11648/j.ijctc.20150304.11
T2  - International Journal of Computational and Theoretical Chemistry
JF  - International Journal of Computational and Theoretical Chemistry
JO  - International Journal of Computational and Theoretical Chemistry
SP  - 28
EP  - 33
PB  - Science Publishing Group
SN  - 2376-7308
UR  - https://doi.org/10.11648/j.ijctc.20150304.11
AB  - A fourth - order virial equation of state was combined with the Lennard – Jones potential and the Axilrod - Teller triple - dipole potential to determine the thermodynamic properties of argon in the gas phase. The fourth virial coefficient is exact at the level of graphs with at most three non - additive three - body potentials. The model parameters were determined in a fit to the speed - of - sound data. The equation of state predicted the second (volumetric and acoustic) and the fourth acoustic virial coefficients of argon, but failed to give quantitative predictions of the third (volumetric and acoustic) and the fourth volumetric virial coefficients. For the third and fourth volumetric virial coefficients in which the equation of state failed to provide quantitative predictions, it nevertheless provided qualitatively accurate information on the variation of thesefunctions with temperature.In the region of the critical point, the model can be used for exploratory calculations at densities up to about 0.9ρc.
VL  - 3
IS  - 4
ER  -

Copy | Download