Van der Waals equation (English Wikipedia)

Brush 1973, pp. 262–263 Brush, Stephen G. (1973). "J.D. van der Waals and the states of matter". Phys. Teach. 11 (5): 261–270. Bibcode:1973PhTea..11..261B. doi:10.1119/1.2349996.
Klein 1974, p. 31 Klein, M. J. (1974). "The Historical Origins of the Van der Waals Equation". Physica. 73 (1): 28–47. Bibcode:1974Phy....73...28K. doi:10.1016/0031-8914(74)90224-9.
Johnston 2014, pp. 5, 7, 12, 18, 25 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Dong & Lienhard 1986, pp. 158–159 Dong, W.G.; Lienhard, J.H. (1986). "Corresponding States Correlation of Saturated and Metastable Properties". Can J Chem Eng. 64: 158–161. doi:10.1002/cjce.5450640123.
Lienhard, Shamsundar & Biney 1986, pp. 297–298 Lienhard, J.H; Shamsundar, N.; Biney, P.O. (1986). "Spinodal Lines and Equations of State: A Review". Nuclear Engineering and Design. 95: 297–314. Bibcode:1986NuEnD..95..297L. doi:10.1016/0029-5493(86)90056-7.
Peck 1982, p. 446 Peck, R.E. (1982). "The Assimilation of van der Waals Equation in the Corresponding States Family". Can. J. Chem. Eng. 60: 446–449. doi:10.1002/cjce.5450600319.
Johnston 2014, p. 6 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 7 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 5. Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 12 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 11 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 3 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Shamsundar & Lienhard 1983, pp. 878, 879 Shamsundar, N.; Lienhard, J.H. (1983). "Saturation and Metastable Properties of the van der Waals Fluid". Can J Chem Eng. 61 (6): 876–880. doi:10.1002/cjce.5450610617.
Lekner 1982, pp. 161–162 Lekner, J. (1982). "Parametric solution of the van der Waals liquid–vapor coexistence curve". Am. J. Phys. 50 (2): 161–163. Bibcode:1982AmJPh..50..161L. doi:10.1119/1.12877.
Johnston 2014, pp. 16–18 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Lienhard, Shamsundar & Biney 1986, p. 297 Lienhard, J.H; Shamsundar, N.; Biney, P.O. (1986). "Spinodal Lines and Equations of State: A Review". Nuclear Engineering and Design. 95: 297–314. Bibcode:1986NuEnD..95..297L. doi:10.1016/0029-5493(86)90056-7.
Pitzer et al. 1955, p. 3433 Pitzer, K.S.; Lippman, D.Z.; Curl, R.F.; Huggins, C.M.; Peterson, D.E. (1955). "The Volumetric and Thermodynamic Properties of Fluids. II. Compressibility Factor, Vapor Pressure and Entropy of Vaporization". J. Am. Chem. Soc. 77 (13): 3433–3440. Bibcode:1955JAChS..77.3433P. doi:10.1021/ja01618a002.
Johnston 2014, p. 10 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Su 1946, p. 803 Su, G.J. (1946). "Modified Law of Corresponding States for Real Gases". Ind. Eng. Chem. 38 (8): 803–806. doi:10.1021/ie50440a018.
Redlich & Kwong 1949 Redlich, O.; Kwong, J. N. S. (1949). "On the Thermodynamics of Solutions. V. An Equation of State. Fugacities of Gaseous Solutions" (PDF). Chemical Reviews. 44 (1): 233–244. doi:10.1021/cr60137a013. PMID 18125401. Retrieved 2 April 2024.
Lebowitz 1974, p. 52 Lebowitz, J.L. (1974). "Exact Derivation of the Van Der Waals Equation". Physica. 73 (1): 48–60. Bibcode:1974Phy....73...48L. doi:10.1016/0031-8914(74)90225-0.
DeBoer 1974, pp. 7–16 DeBoer, J. (1974). "Van der Waals in his time and the present revival opening address". Physica. 73 (1): 1–27. Bibcode:1974Phy....73....1D. doi:10.1016/0031-8914(74)90223-7.
Valderrama 2003, pp. 1308–1312 Valderrama, J.O. (2003). "The State of the Cubic Equations of State". Ind. Chem. Eng. Res. 42 (8): 1603–1618. doi:10.1021/ie020447b. hdl:10533/174221.
Kontogeorgis, Privat & Jaubert 2019, pp. 4626–4633 Kontogeorgis, G.M.; Privat, R.; Jaubert, J-N.J. (2019). "Taking Another Look at the van der Waals Equation of State – Almost 150 Years Later". J. Chem. Eng. Data. 64 (11): 4619–4637. doi:10.1021/acs.jced.9b00264.
Leland, Rowlinson & Sather 1968, p. 1447 Leland, T. W.; Rowlinson, J.S.; Sather, G.A. (1968). "Statistical thermodynamics of mixtures of molecules of different sizes". Trans. Faraday Soc. 64: 1447–1460. doi:10.1039/tf9686401447.
Korteweg 1891b, p. 277 Korteweg, D.T. (1891b). "On Van Der Waals Isothermal Equation". Nature. 45 (1160): 277. doi:10.1038/045277a0.
Tonks 1936, pp. 962–963 Tonks, L. (1936). "The Complete Equation of State of One, Two, and Three-Dimensional Gases of Hard Elastic Spheres". Phys. Rev. 50 (10): 955–963. Bibcode:1936PhRv...50..955T. doi:10.1103/PhysRev.50.955.
Kac, Uhlenbeck & Hemmer 1963, p. 224 Kac, M.; Uhlenbeck, G.E.; Hemmer, P.C. (1963). "On the van der Waals Theory of the Vapor-Liquid Equilibrium. 1. Discussion of a One-Dimensional Model". J. Math. Phys. 4 (2): 216–228. Bibcode:1963JMP.....4..216K. doi:10.1063/1.1703946.
Lebowitz 1974, pp. 50, 52–57 Lebowitz, J.L. (1974). "Exact Derivation of the Van Der Waals Equation". Physica. 73 (1): 48–60. Bibcode:1974Phy....73...48L. doi:10.1016/0031-8914(74)90225-0.
Valderrama 2003, p. 1606 Valderrama, J.O. (2003). "The State of the Cubic Equations of State". Ind. Chem. Eng. Res. 42 (8): 1603–1618. doi:10.1021/ie020447b. hdl:10533/174221.
Vera & Prausnitz 1972, p. 7-10 Vera, J.H.; Prausnitz, J.M. (1972). "Generalized van der Waals Theory for Dense Fluids". Chem. Eng. Jour. 3: 1–13. doi:10.1016/0300-9467(72)85001-9.
Kontogeorgis, Privat & Jaubert 2019, pp. 4626–4629 Kontogeorgis, G.M.; Privat, R.; Jaubert, J-N.J. (2019). "Taking Another Look at the van der Waals Equation of State – Almost 150 Years Later". J. Chem. Eng. Data. 64 (11): 4619–4637. doi:10.1021/acs.jced.9b00264.

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Valderrama 2003, pp. 1308–1312 Valderrama, J.O. (2003). "The State of the Cubic Equations of State". Ind. Chem. Eng. Res. 42 (8): 1603–1618. doi:10.1021/ie020447b. hdl:10533/174221.
Valderrama 2003, p. 1606 Valderrama, J.O. (2003). "The State of the Cubic Equations of State". Ind. Chem. Eng. Res. 42 (8): 1603–1618. doi:10.1021/ie020447b. hdl:10533/174221.

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Tien & Lienhard 1979, pp. 250, 251 Tien, C.L.; Lienhard, J.H. (1979). Statistical Thermodynamics Revised Printing. NY: Hemisphere Publishing. Bibcode:1979wdch.book.....T.
Weinberg 2021, pp. 4–5 Weinberg, S. (2021). Foundations of Modern Physics. Cambridge: Cambridge University Press. Bibcode:2021fmp..book.....W.
Weinberg 2021, p. 33 Weinberg, S. (2021). Foundations of Modern Physics. Cambridge: Cambridge University Press. Bibcode:2021fmp..book.....W.
Brush 1973, pp. 262–263 Brush, Stephen G. (1973). "J.D. van der Waals and the states of matter". Phys. Teach. 11 (5): 261–270. Bibcode:1973PhTea..11..261B. doi:10.1119/1.2349996.
Klein 1974, p. 31 Klein, M. J. (1974). "The Historical Origins of the Van der Waals Equation". Physica. 73 (1): 28–47. Bibcode:1974Phy....73...28K. doi:10.1016/0031-8914(74)90224-9.
Johnston 2014, pp. 5, 7, 12, 18, 25 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Lienhard, Shamsundar & Biney 1986, pp. 297–298 Lienhard, J.H; Shamsundar, N.; Biney, P.O. (1986). "Spinodal Lines and Equations of State: A Review". Nuclear Engineering and Design. 95: 297–314. Bibcode:1986NuEnD..95..297L. doi:10.1016/0029-5493(86)90056-7.
Johnston 2014, p. 6 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 7 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 5. Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 12 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 11 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Johnston 2014, p. 3 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Lekner 1982, pp. 161–162 Lekner, J. (1982). "Parametric solution of the van der Waals liquid–vapor coexistence curve". Am. J. Phys. 50 (2): 161–163. Bibcode:1982AmJPh..50..161L. doi:10.1119/1.12877.
Johnston 2014, pp. 16–18 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Lienhard, Shamsundar & Biney 1986, p. 297 Lienhard, J.H; Shamsundar, N.; Biney, P.O. (1986). "Spinodal Lines and Equations of State: A Review". Nuclear Engineering and Design. 95: 297–314. Bibcode:1986NuEnD..95..297L. doi:10.1016/0029-5493(86)90056-7.
Tien & Lienhard 1979, p. 254 Tien, C.L.; Lienhard, J.H. (1979). Statistical Thermodynamics Revised Printing. NY: Hemisphere Publishing. Bibcode:1979wdch.book.....T.
Pitzer et al. 1955, p. 3433 Pitzer, K.S.; Lippman, D.Z.; Curl, R.F.; Huggins, C.M.; Peterson, D.E. (1955). "The Volumetric and Thermodynamic Properties of Fluids. II. Compressibility Factor, Vapor Pressure and Entropy of Vaporization". J. Am. Chem. Soc. 77 (13): 3433–3440. Bibcode:1955JAChS..77.3433P. doi:10.1021/ja01618a002.
Johnston 2014, p. 10 Johnston, D.C. (2014). Advances in Thermodynamics of the van der Waals Fluid. arXiv:1402.1205. Bibcode:2014atvd.book.....J. doi:10.1088/978-1-627-05532-1. ISBN 978-1-627-05532-1.
Lebowitz 1974, p. 52 Lebowitz, J.L. (1974). "Exact Derivation of the Van Der Waals Equation". Physica. 73 (1): 48–60. Bibcode:1974Phy....73...48L. doi:10.1016/0031-8914(74)90225-0.
DeBoer 1974, pp. 7–16 DeBoer, J. (1974). "Van der Waals in his time and the present revival opening address". Physica. 73 (1): 1–27. Bibcode:1974Phy....73....1D. doi:10.1016/0031-8914(74)90223-7.
Tonks 1936, pp. 962–963 Tonks, L. (1936). "The Complete Equation of State of One, Two, and Three-Dimensional Gases of Hard Elastic Spheres". Phys. Rev. 50 (10): 955–963. Bibcode:1936PhRv...50..955T. doi:10.1103/PhysRev.50.955.
Kac, Uhlenbeck & Hemmer 1963, p. 224 Kac, M.; Uhlenbeck, G.E.; Hemmer, P.C. (1963). "On the van der Waals Theory of the Vapor-Liquid Equilibrium. 1. Discussion of a One-Dimensional Model". J. Math. Phys. 4 (2): 216–228. Bibcode:1963JMP.....4..216K. doi:10.1063/1.1703946.
Lebowitz 1974, pp. 50, 52–57 Lebowitz, J.L. (1974). "Exact Derivation of the Van Der Waals Equation". Physica. 73 (1): 48–60. Bibcode:1974Phy....73...48L. doi:10.1016/0031-8914(74)90225-0.

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Niemeyer Niemeyer, Kyle. "Mixture properties". Computational Thermodynamics. Archived from the original on 2 April 2024. Retrieved 2 April 2024.

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Redlich & Kwong 1949 Redlich, O.; Kwong, J. N. S. (1949). "On the Thermodynamics of Solutions. V. An Equation of State. Fugacities of Gaseous Solutions" (PDF). Chemical Reviews. 44 (1): 233–244. doi:10.1021/cr60137a013. PMID 18125401. Retrieved 2 April 2024.

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Hewitt Hewitt, Nigel. "Who was Van der Waals anyway and what has he to do with my Nitrox fill?". Maths for Divers. Archived from the original on 11 March 2020. Retrieved 1 February 2019.

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Redlich & Kwong 1949 Redlich, O.; Kwong, J. N. S. (1949). "On the Thermodynamics of Solutions. V. An Equation of State. Fugacities of Gaseous Solutions" (PDF). Chemical Reviews. 44 (1): 233–244. doi:10.1021/cr60137a013. PMID 18125401. Retrieved 2 April 2024.

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Hewitt Hewitt, Nigel. "Who was Van der Waals anyway and what has he to do with my Nitrox fill?". Maths for Divers. Archived from the original on 11 March 2020. Retrieved 1 February 2019.
Niemeyer Niemeyer, Kyle. "Mixture properties". Computational Thermodynamics. Archived from the original on 2 April 2024. Retrieved 2 April 2024.

Van der Waals equation (English Wikipedia)

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