Abstract
New fundamental equations of state explicit in the Helmholtz energy with a common functional form are presented for 2,3,3,3-tetrafluoropropene (R-1234yf) and trans-1,3,3,3-tetrafluoropropene (R-1234ze(E)). The independent variables of the equations of state are the temperature and density. The equations of state are based on reliable experimental data for the vapor pressure, density, heat capacities, and speed of sound. The equation for R-1234yf covers temperatures between 240 K and 400 K for pressures up to 40 MPa with uncertainties of 0.1 % in liquid density, 0.3 % in vapor density, 2 % in liquid heat capacities, 0.05 % in the vapor-phase speed of sound, and 0.1 % in vapor pressure. The equation for R-1234ze(E) is valid for temperatures from 240 K to 420 K and for pressures up to 15 MPa with uncertainties of 0.1 % in liquid density, 0.2 % in vapor density, 3 % in liquid heat capacities, 0.05 % in the vapor-phase speed of sound, and 0.1 % in vapor pressure. Both equations exhibit reasonable behavior in extrapolated regions outside the range of the experimental data.
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M.O. McLinden, M. Thol, E.W. Lemmon, in Proceedings of the 2010 International Refrigeration and Air Conditioning Conference at Purdue, West Lafayette, IN, USA, 2010, Paper No. 2189
R. Akasaka, Y. Kayukawa, Y. Kano, K. Fujii, in Proceedings of the 2010 International Symposium on Next-Generation Air Conditioning and Refrigeration Technology, Tokyo, Japan, 2010, GS03-1-4
Akasaka R., Kayukawa Y., Tanaka K., Higashi Y.: Trans. JSRAE 28, 1 (2010) (in Japanese)
T.J. Leck, in Proceedings of the 3rd IIR Conference on Thermophysical Properties and Transfer Processes of Refrigeration, Boulder, CO, USA, 2009, Paper ID 71
Akasaka R., Tanaka K., Higashi Y.: Int. J. Refrig. 33, 52 (2010)
Huber M.L., Ely J.F.: Int. J. Refrig. 17, 18 (1994)
Span R., Wagner W.: Int. J. Thermophys. 24, 1 (2003)
M. Richter, M.O. McLinden, E.W. Lemmon, submitted to J. Chem. Eng. Data (2010)
Akasaka R.: Int. J. Refrig. 33, 907 (2010)
Mohr P.J., Taylor B.N., Newell D.B.: Rev. Mod. Phys. 80, 633 (2008)
R. Span, Multiparameter Equations of State—An Accurate Source of Thermodynamic Property Data (Springer, Berlin, 2000), p. 168
Lemmon E.W., McLinden M.O., Wagner W.: J. Chem. Eng. Data 54, 3141 (2009)
Kano Y., Kayukawa Y., Fujii K., Sato H.: Int. J. Thermophys. 31, 2051 (2010)
Y. Kano, Y. Kayukawa, K. Fujii, H. Sato, in Proceedings of the 9th Asian Thermophysical Properties Conference, Beijing, China, 2010, Paper Number: 109039
W. Wagner, A Statistical Method for Establishing Thermodynamic Equations of State—Applied to the Vapor Pressure Curve of Pure Substances, Fortschr.-Ber. VDI. Series 3. No. 39 (Düsseldorf, 1974) (in German)
Span R., Wagner W.: Int. J. Thermophys. 18, 1415 (1997)
Tillner-Roth R., Baehr H.D.: J. Phys. Chem. Ref. Data 23, 657 (1994)
Tillner-Roth R.: Int. J. Thermophys. 16, 91 (1995)
Tillner-Roth R., Yokozeki A.: J. Phys. Chem. Ref. Data 26, 1273 (1997)
Sunaga H., Tillner-Roth R., Sato H., Watanabe K.: Int. J. Thermophys. 19, 1623 (1998)
Li J., Tillner-Roth R., Sato H., Watanabe K.: Int. J. Thermophys. 20, 1639 (1999)
Lemmon E.W., Jacobsen R.T.: J. Phys. Chem. Ref. Data 29, 521 (2000)
Di Nicola G., Polonara F., Santori G.: J. Chem. Eng. Data 55, 201 (2009)
Tanaka K., Higashi Y.: Int. J. Refrig. 33, 474 (2010)
M. Yoshitake, S. Matsuo, T. Sotani, in Proceedings of the 30th Japan Symposium on Thermophysical Properties, Yonezawa, Japan, 2009, p. 353 (in Japanese)
Tanaka K., Higashi Y., Akasaka R.: J. Chem. Eng. Data 55, 901 (2010)
Di Nicola C., Di Nicola G., Pacetti M., Polonara F., Santori G.: J. Chem. Eng. Data 55, 3302 (2010)
Tanaka K., Higashi Y.: Trans. JSRAE 28, 51 (2010)
Y. Kayukawa, Y. Kano, K. Fujii, in Proceedings of the 2009 Symposium on Environmental Engineering, Okinawa, Japan, 2009, p. 406 (in Japanese)
Lago S., Giuliano Albo P.A., Brignolo S.: J. Chem. Eng. Data 56, 161 (2011)
Tanaka K., Takahashi G., Higashi Y.: J. Chem. Eng. Data 55, 2169 (2010)
Y. Kayukawa, K. Fujii, in Proc 2009 JSRAE Annual Conference, Tokyo, Japan, 2009, p. 47 (in Japanese)
A.J. Grebenkov, R. Hulse, H. Pham, R. Singh, in Proceedings of the 3rd IIR Conference on Thermophysical Properties and Transfer Processes of Refrigeration, Boulder, CO, USA, 2009, Paper ID 61
Tanaka K., Higashi Y.: J. Chem. Eng. Data 55, 5164 (2010)
Tanaka K., Takahashi G., Higashi Y.: J. Chem. Eng. Data 55, 2267 (2010)
N. Kagawa, A. Matsuguchi, K. Watanabe, in Proceedings of the the Fifth Asian Conference on Refrigeration and Air Conditioning, Tokyo, Japan, 2010, D3-025
E.W. Lemmon, M.L. Huber, M.O. McLinden, NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties—REFPROP, Version 9.0 (National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD, 2010)
R. Hulse, R. Singh, H. Pham, in Proceedings of the 3rd IIR Conference on Thermophysical Properties and Transfer Processes of Refrigeration, Boulder, CO, USA, 2009, Paper ID 60
Y. Kano, Y. Kayukawa, K. Fujii, in Proceedings of the 2009 Symposium on Environmental Engineering, Okinawa, Japan, 2009, p. 409 (in Japanese)
Higashi Y., Tanaka K., Ichikawa T.: J. Chem. Eng. Data 55, 1594 (2010)
A. Matsuguchi, N. Kagawa, S. Koyama, in Proceedings of the 2010 International Symposium on Next-Generation Air Conditioning and Refrigeration Technology, Tokyo, Japan, 2010, GS08-1-5
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Akasaka, R. New Fundamental Equations of State with a Common Functional Form for 2,3,3,3-Tetrafluoropropene (R-1234yf) and trans-1,3,3,3-Tetrafluoropropene (R-1234ze(E)). Int J Thermophys 32, 1125–1147 (2011). https://doi.org/10.1007/s10765-011-0992-0
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DOI: https://doi.org/10.1007/s10765-011-0992-0