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Temperature Dependence of the Surface Tension of Water, Including the Supercooled Region

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Abstract

For the temperature dependence of the surface tension of water, the equation formulated as early as 1976 by The International Association for the Properties of Water and Steam (IAPWS) is the most commonly used. There are reasons for a major revision of the equation. In this paper, we critically analyze existing experimental data, and evaluate attempts to develop an alternative equation to IAPWS standard. We have tested different forms of correlation for the temperature dependence of the surface tension of water. We have decided to use Wegner’s form of the description of the thermophysical properties near the critical point, with fixed theoretical exponents. This correlation well describes the experimental data in the range from 240.88 K to 647.096 K. The estimated uncertainty varies with temperature from 0.1 mN·m−1 (for temperatures below 288.15 K) to 0.2 mN·m−1 for temperatures around 373.15 K.

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References

  1. J. Kalová, R. Mareš, Int. J. Thermophys. 36, 1396 (2015)

    Article  ADS  Google Scholar 

  2. M. Tanaka, G. Girard, R. Davis, A. Peuto, N. Bignell, Metrologia 38, 301 (2001)

    Article  ADS  Google Scholar 

  3. IAPWS R1-76, http://www.iapws.org/relguide/Surf-H2O.html (2014)

  4. L.D. Voljak, Dokl. Akad. Nauk SSSR 74, 307 (1950)

    Google Scholar 

  5. U. Grigul, J. Bach, Sonderdruck aus Brennstoff-Wärme-Kraft (BWK), Bd. 18, (1996)

  6. N. B. Vargaftik, L. D. Voljak, B. N. Volkov, Report to VII International Conference on Water and Steam Properties, Tokyo (1968)

  7. J. Straub, N. Rosner, U. Grigull, Proc. 8th Int. Conf. Prop. Steam Water (Giens), Vol. II, p. 1085 (1974)

  8. G.R. Somayajulu, Int. J. Thermophys. 9, 559 (1988)

    Article  ADS  Google Scholar 

  9. A. Mulero, I. Cachadiña, M.I. Parra, J. Phys. Chem. Ref. Data 41, 043105 (2012)

    Article  ADS  Google Scholar 

  10. J. Pátek, M. Součková, J. Klomfar, J. Chem. Eng. Data 61, 928 (2016)

    Article  Google Scholar 

  11. H. Yi, J. Tian, A. Mulero, I. Cachadiña, J. Therm. Anal. Calorim. 126, 1603 (2016)

    Article  Google Scholar 

  12. B. Widom, J. Chem. Phys. 43, 3892 (1965)

    Article  ADS  Google Scholar 

  13. S. Fisk, B. Widom, J. Chem. Phys. 50, 3219 (1969)

    Article  ADS  Google Scholar 

  14. N.B. Vargaftik, B.N. Volkov, L.D. Voljak, Teploenergetika 26, 73 (1979)

    Google Scholar 

  15. N.B. Vargaftik, L.D. Voljak, B.N. Volkov, J. Phys. Chem. Ref. Data 12, 817 (1983)

    Article  ADS  Google Scholar 

  16. J. Kalová, R. Mareš, Int. J. Thermophys 42, 131 (2021)

    Article  ADS  Google Scholar 

  17. J. Hrubý, V. Vinš, R. Mareš, J. Hykl, J. Kalová, J. Phys. Chem. Lett. 5, 425 (2014)

    Article  Google Scholar 

  18. V. Vinš, M. Fransen, J. Hykl, J. Hrubý, J. Phys. Chem. B 119, 5567 (2015)

    Article  Google Scholar 

  19. V. Vinš, J. Hošek, J. Hykl, J. Hrubý, EPJ Web Conf. 114, 02135 (2016)

    Article  Google Scholar 

  20. V. Vinš, J. Hošek, J. Hykl, J. Hrubý, J. Chem. Eng. Data 62(11), 3823 (2017)

    Article  Google Scholar 

  21. V. Vinš, J. Hykl, J. Hrubý, A. Blahut, D. Celný, M. Čenský, J. Phys. Chem. Lett. 11, 4443 (2020)

    Article  Google Scholar 

  22. A.G. Gaonkar, R.D. Neumann, Colloids Surf. 27, 1 (1987)

    Article  Google Scholar 

  23. N.R. Pallas, B.A. Pethica, Colloids Surf. 36, 369 (1989)

    Article  Google Scholar 

  24. N.R. Pallas, Y. Harrison, Colloids Surf. 43, 169 (1991)

    Article  Google Scholar 

  25. A.G. Gaonkar, R.D. Neuman, Colloids Surf. 61, 353 (1991)

    Article  Google Scholar 

  26. R. Mareš, J. Kalová, EPJ Web Conf. 67, 02072 (2014)

    Article  Google Scholar 

  27. R. Mareš, J. Kalová, EPJ Web Conf. 92, 02050 (2015)

    Article  Google Scholar 

  28. W. Ramsay, J. Shields, J. Chem. Soc. 63, 1089 (1893)

    Article  Google Scholar 

  29. K.L. Sutherland, J. Chem. Soc. 121, 858 (1954)

    Google Scholar 

  30. G.J. Gittens, J. Colloid Interface Sci. 30, 406 (1969)

    Article  ADS  Google Scholar 

  31. ICT International Critical Tables of Numerical Data Physics, Chemistry and Technology, vol. IV, London (1928)

  32. W. D. Harkins, in A. Weissberger (Ed.), Physical methods of organic chemistry, I, Part I, Interscience, New York (1949)

  33. J.J. Jasper, J. Phys. Chem. Ref. Data 1, 841 (1972)

    Article  ADS  Google Scholar 

  34. N. B. Vargaftik, L. D. Voljak, and B. N. Volkov, Trudy vsesojuz. nauchnotekchn. konf. po termodinamike, 312 (1969)

  35. N.B. Vargaftik, L.D. Voljak, B.N. Volkov, Teploenergetika 8, 80 (1973)

    Google Scholar 

  36. M.A. Floriano, C.A. Angell, J. Phys. Chem. 94, 4199 (1990)

    Article  Google Scholar 

  37. J.A.V. Butler, A.D. Lees, J. Chem. Soc. 2097, 15 (1932)

    Google Scholar 

  38. J.A.V. Butler, A.D. Wightman, W.H. Maclennan, J. Chem. Soc. 528, 256 (1934)

    Google Scholar 

  39. M.G. Voronkov, Zh. Fiz, Khim. 26, 813 (1952)

    Google Scholar 

  40. Y. Maham, A.E. Mather, Fluid Phase Equilib. 182, 325 (2001)

    Article  Google Scholar 

  41. N. B. Vargaftik, B. N. Volkov, and L. D. Voljak, Report to VIII International Conference on Water and Steam Properties (Giens, 1974)

  42. M. Hasenbuch, Phys. Rev. B 82, 174433 (2010)

    Article  ADS  Google Scholar 

  43. J. Kalová and R. Mareš, AIP Conference Proceedings, Vol. 2047 (2018) https://doi.org/10.1063/1.5081640.

  44. Y.T.F. Chow, G.C. Maitland, J.P.M. Trusler, Fluid Phase Equilib. 475, 37 (2018)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of South Bohemia in České Budějovice, Branišovská 1760, 370 05, České Budějovice, Czech Republic

    Jana Kalová

  2. Department of Power System Engineering, Faculty of Mechanical Engineering, University of West Bohemia in Plzeň, Univerzitní 22, 301 00, Plzeň, Czech Republic

    Radim Mareš

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  1. Jana Kalová
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  2. Radim Mareš
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Correspondence to Jana Kalová.

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Kalová, J., Mareš, R. Temperature Dependence of the Surface Tension of Water, Including the Supercooled Region. Int J Thermophys 43, 154 (2022). https://doi.org/10.1007/s10765-022-03077-y

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