Thermodynamic and Thermophysical Properties of Air as a Mixture by Using Schreiber-Pitzer EoS

Abstract

Air is one of the most important substances used in industrial and technological applications. Applications of air require a consistent set of reliable data on its thermodynamic and thermophysical properties. Over the last few decades, researchers have developed a number of empirical and theoretical models for the correlation and prediction of the thermodynamic and thermophysical properties of pure fluids and mixtures. The ideal gas Equation of State (EoS) is used in gas thermodynamic property calculations extensively, but in applications with higher pressure zones, the error levels are increasing. For most applications, an equation of state with better accuracy of thermodynamic properties will be required for extreme cases. In this study, Schreiber-Pitzer EoS is considered for better accuracy of the thermodynamic properties for air mixture. A set of computer programs were developed in java language to calculate the thermodynamic and thermophysical properties of air as a mixture of Nitrogen, Oxygen and Argon. The Schreiber-Pitzer EoS results are compared with Peng-Robinson EoS, Redlich-Kwong EoS, Van der Waals EoS, and ideal gas EoS utilizing cubic spline curve fitting for cp values. The thermodynamic and thermophysical property results and percentages of differences are calculated. The percentages of differences are increasing with increasing pressure and decreasing temperature.

Keywords

• Schreiber-Pitzer EoS
• thermodynamic properties of air
• thermophysical properties of air
• cubic spline

References

1. J. D. Van der Waals, “The Equation of State for Gases and Liquids”, Nobel Lecture, December 12, 1910.
2. J. D. Van der Waals, “Over de Continuiteit van den Gas- en Vloeistoftoestand”, University of Leiden, 1873.
3. O. Redlich, J. N. S. Kwong, “On the Thermodynamics of Solutions”, Chem. Rev., 44 (1): 233–244, 1949.
4. D. Peng, D. B. Robinson, “A New Two-Constant Equation of State”, Ind. Eng. Chem. Fundam., Vol. 15, No. 1, 1976.
5. Z. Nasri, B. Housam, “Applications of the Peng Robinson Equation of State Using MATLAB”, Chemical Engineering Education, 43, 2009.
6. J. S. Lopez-Echeverry, S. Reif-Acherman, E. Araujo-Lopez, “Peng-Robinson Equation of State: 40 Years Through Cubics”, Fluid Phase Equilibria, 447, 39-71, 2017.
7. M. Ghanbari, M. Ahmadi, A. Lashanizadegan, “A Comparison Between Peng-Robinson and Soave-Redlich-Kwong Cubic Equations of State from Modification Perspective”, Cryogenics, 84: 13-19, 2017.
8. P. Ghosh, “Prediction of Vapor-Liquid Equilibria Using Peng-Robinson and Soave-Redlich-Kwong Equations of State”, Chem. Eng. Technol., 22: 379-399, 1999.

9. M.S. Zabaloy, J. H. Vera, “The Peng-Robinson Sequel. An Analysis of the Particulars of the Second and Third Generations”, Indus. Eng. Chem. Res., 37: 1591-1597, 1998.
10. J. O. Valderrama, “The State of the Cubic Equations of State”, Indus. Eng. Chem. Res., 42: 1603-1618, 2003.
11. D. R. Schreiber, K. S. Pitzer, “Selected Equation of State in the Acentric Factor System”, International Journal of Thermophysics, Vol 9, No. 6, 1988.
12. NIST-JANAF Thermochemical Tables [Online]. Available: https://janaf.nist.gov/, (accessed Jan. 1, 2022).
13. R. C. Reid, J. M. Prausnitz, B. E. Poling, The Properties of Gases & Liquids, Fourth Edition, McGraw-Hill, 1987.
14. T. W. Leland, P. S. Chappelear, “The Corresponding States Principle”, Industrial and Engineering Chemistry, Vol. 60 No. 7, 1968.
15. V. Ramaiah, L. I. Stiel, “Effective Parameters for Nonpolar Mixtures from Properties of Components”, Ind. Eng. Chem. Process Des. Develop., Vol. 11, No. 4, 1972.
16. C. Tsonopoulos, “Second Virial Cross-Coefficients: Correlation and Prediction of kij”, Advances in Chemistry, Vol. 182, 1979.
17. R. R. Tarakad, R. P. Danner, “An Improved Corresponding States Method for Polar Fluids: Correlation of Second Virial Coefficients”, AIChE Journal, Vol. 23, No. 5, 685, 1977.
18. K. Kadoya, N. Matsunaga, A. Nagashima, “Viscosity and Thermal Conductivity of Dry Air in the Gaseous Phase”, Journal of Physical and Chemical Reference Data 14, 947, 1985.
19. M. Turhan ÇOBAN Web Site [Online]. Available: www.turhancoban.com, (accessed Jan. 1, 2022).
20. M. T. Coban, “Thermodynamic and Thermophysical Properties of Pure Gases By Using Schreiber-Pitzer EoS”, ULIBTK’21 23. Isı Bilimi ve Tekniği Kongresi, 08-10 Eylül 2021.
21. M. T. Coban, “Stoichiometric Chemical Equilibrium Algorithm by Using Schreiber and Pitzer Real Gas EoS and Homotophy (Continuation) Method for Solving Non-Linear System of Equations”, ULIBTK’21 23. Isı Bilimi ve Tekniği Kongresi, 08-10 Eylül 2021.