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History and Potentials — an Overview

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Multiparameter Equations of State
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Abstract

While the thermal equation of state of ideal gases was established by Boyle and Marriot already in the 17th century, properties of real fluids could not be described until late in the 19th century. The famous equation by van der Waals (1873) was the first formulation which described gaseous, liquid, and supercritical states as well as vapour-liquid phase equilibria qualitatively correctly. This equation was the origin of the so called “cubic equations of state” which are frequently used to date. The development of cubic equations of state has been discussed in other publications (see for instance Schreiner, 1986) and will not be discussed in detail here.

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References

  1. At the same time, McCarty (1970) used the phase equilibrium condition g′(T) = g″(T) to improve the representation of caloric properties in the liquid phase, but he did not consider the thermal equilibrium conditions simultaneously. Although all of these equations are modifications of Eq. 2.2, the equation by Jacobsen and Stewart (1973) became known as the modified BWR equation

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  2. Thermodynamic Properties of… (1) Argon; Sychev et al. (1987a). (2) Nitrogen; Sychev et al. (1987b). (3) Methane; Sychev et al. (1987c). (4) Ethane; Sychev et al. (1987d). (5) Oxygen; Sychev et al. (1987e). (6) Air; Sychev et al. (1987f). (7) Ethylene; Sychev et al. (1987g). (8) Freons, Part 1; Altunin et al. (1987a). (9) Freons, Part 2; Altunin et al. (1987b). (10) Neon, Argon, Krypton, and Xenon; Rabinovich et al. (1988). (11) Propane; Sychev et al. (1991). (12) Butane; Sychev et al. (1995).

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  3. International Thermodynamic Tables of the Fluid State? (1) Argon, 1971; Angus and Armstrong (1971). (2) Ethylene, 1972; Angus et al. (1974). (3) Carbon dioxide; Angus et al. (1976). (4) Helium; Angus and de Reuck (1977). (5) Methane; Angus et al. (1978). (6) Nitrogen; Angus et al. (1979). (7) Propene (Propylene); Angus et al. (1980). (8) Chlorine - tentative tables; Angus et al. (1985). (9) Oxygen; Wagner and de Reuck (1987). (10) Ethylene (Ethene); Jacobsen et al. (1988). (11) Fluorine; de Reuck (1990). (12) Methanol; de Reuck and Craven (1993). (13) Methane; Wagner and de Reuck (1996).

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  4. The International Association for the Properties of Water and Steam (IAPWS) continues to work on international standards for water (see Wagner and Pruß, 1997/2000; Wagner and Kruse, 1998; Wagner et al., 2000a/b). However, the activities of the IAPWS are strictly restricted to water substance.

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© 2000 Springer-Verlag Berlin Heidelberg

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Span, R. (2000). History and Potentials — an Overview. In: Multiparameter Equations of State. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04092-8_2

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  • DOI: https://doi.org/10.1007/978-3-662-04092-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08671-7

  • Online ISBN: 978-3-662-04092-8

  • eBook Packages: Springer Book Archive

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