The influence of temperature and pressure on the thermodynamic coefficient –∂V/∂PT for water and argon
DOI (Low Temperature Physics):
https://doi.org/10.1063/10.0046489Ключові слова:
water, argon, isothermal compressibility, liquid–vapor coexistence curve, liquid–solid coexistence curve, hydrogen bondsАнотація
Досліджено вплив температури T та тиску P на термодинамічний коефіцієнт –(∂V/∂P)T рідкої води та аргону. На основі принципу відповідних станів було підтверджено існування області термодинамічної подібності між цими речовинами. Однак за певних термодинамічних умов ця аналогія порушується, і вода демонструє відмінну поведінку щодо термодинамічного коефіцієнта –(∂V/∂P)T. Зокрема, для води було визначено характерну температуру Tc = (42,2 ± 0,20) °C, за якої температурна залежність –(∂V/∂P)T демонструє виражений мінімум на перетині з межею рівноваги рідина–пара. Крім того, мінімуми в температурній залежності цього коефіцієнта вздовж ізобар спостерігаються для води за температури вище Tc. Також криві залежності –(∂V/∂P)T від тиску перетинаються попарно вздовж ізотерм при температурах нижче цього значення. Навпаки, аргон не демонструє таких температурно-баричних особливостей у відповідному термодинамічному коефіцієнті.
Посилання
1. G. M. Kontogeorgis, A. Holster, N. Kottaki, E. Tsochantaris, F. Topsøe, J. Poulsen, M. Bache, X. Liang, N. S. Blom, and J. Kronholm, “Water structure, properties and some applications – A review,” Chem. Thermodyn. Therm. Anal. 6, 100053 (2022). https://doi.org/10.1016/j.ctta.2022.100053
2. H. Tanaka, “Roles of liquid structural ordering in glass transition, crystallization, and water’s anomalies,” J. Non-Crystalline Solids X 13, 100076 (2022). https://doi.org/10.1016/j.nocx.2021.100076
3. N. Novak, X. Liang, and G. M. Kontogeorgis, “Prediction of water anomalous properties by introducing the two-state theory in SAFT,” J. Chem. Phys. 160, 104505 (2024). https://doi.org/10.1063/5.0186752
4. L. A. Bulavin, A. V. Chalyi, and O. I. Bilous, “Anomalous propagation and scattering of sound in 2-propanol water solution near its singular point,” J. Mol. Liq. 235, 24 (2017).https://doi.org/10.1016/j.molliq.2017.01.040
5. V. I. Petrenko, M. V. Avdeev, L. Almásy, L. A. Bulavin, V. L. Aksenov, L. Rosta, and V. M. Garamus, “Interaction of monocarboxylic acids in benzene studied by small-angle neutron scattering,” Colloids Surf. A: Physicochem. Eng. Asp. 337, 91 (2009).https://doi.org/10.1016/j.colsurfa.2008.12.001
6. O. A. Kyzyma, T. O. Kyrey, M. V. Avdeev, M. V. Korobov, L. A. Bulavin, and V. L. Aksenov, “Non-reversible solvatochromism in N-methyl-2-pyrrolidone/toluene mixed solutions of fullerene C60,” Chem. Phys. Lett. 556, 178 (2013).https://doi.org/10.1016/j.cplett.2012.11.040
7. L. Melníková, V. I. Petrenko, M. V. Avdeev, V. M. Garamus, L. Almásy, O. I. Ivankov, L. A. Bulavin, Z. Mitróová, and P. Kopcansky, “Effect of iron oxide loading on magnetoferritin structure in solution asrevealed by SAXS and SANS,” Colloids Surf. B: Biointerfaces 123, 82 (2014).https://doi.org/10.1016/j.colsurfb.2014.08.032
8. C. M. O. Lépori, N. M. Correa, J. J. Silber, and R. D. Falcone, “How the cation 1-butyl-3-methylimidazolium impacts the interaction between the entrapped water and the reverse micelle interface created with an ionic liquid-like surfactant,” Soft Matter 12, 830 (2016).https://doi.org/10.1039/C5SM02421H
9. U. Jain, M. Jalaal, and D. Lohse, and D. van der Meer, “Deep pool water-impacts of viscous oil droplets,” Soft Matter 15, 4629 (2019).https://doi.org/10.1039/C9SM00318E
10. R. Span, and W. Wagner, “Equations of state for technical applications. II. results for nonpolar fluids,” Int. J. Thermophys. 24, 41 (2003).https://doi.org/10.1023/A:1022310214958
11. F. Mallamace, C. Corsaro, and H. E. Stanley, “A singular thermodynamically consistent temperature at the origin of the anomalous behavior of liquid water,” Sci. Rep. 2, 993 (2012).https://doi.org/10.1038/srep00993
12. J. H. S. Lee and K. Ramamurthi, Fundamentals of Thermodynamics (CRC Press, 2022).
13. A. D. Alekhin, and E. G. Rudnikov, “Effect of gravity in high-temperature liquids near the critical point,” J. Phys. Stud. 8, 103 (2004).https://doi.org/10.30970/jps.08.103
14. F. Mallamace, C. Corsaro, D. Mallamace, C. Vasi, and H. E. Stanley, “The thermodynamical response functions and the origin of the anomalous behavior of liquid water,” Faraday Discuss. 167, 95 (2013).https://doi.org/10.1039/c3fd00073g
15. L. N. Dzhavadov, V. V Brazhkin, Y. D. Fomin, V. N. Ryzhov, and E. N. Tsiok, “Experimental study of water thermodynamics up to 1.2 GPa and 473 K,” J. Chem. Phys. 152, 154501 (2020).https://doi.org/10.1063/5.0002720
16. K. H. Kim, A. Späh, H. Pathak, F. Perakis, D. Mariedahl, K. Amann-Winkel, J. A. Sellberg, J. H. Lee, S. Kim, and J. Park et al, “Maxima in the thermodynamic response and correlation functions of deeply supercooled water,” Science 358, 1589 (2017).https://doi.org/10.1126/science.aap8269
17. C. L. Yaws, Thermophysical Properties of Chemicals and Hydrocarbons (William Andrew, Norwich, NY, 2008).
18. Edited by M. Z. Southard and D. W. Green, Perry’s Chemical Engineers’ Handbook (McGraw-Hill Education, 2019).
19. National Institute of Standards and Technology (NIST), NIST Chemistry WebBook, SRD 69: Thermophysical properties of fluid systems (2025), available at https://webbook.nist.gov/chemistry/fluid.
20. I. H. Bell, J. Wronski, S. Quoilin, and V. Lemort, “Pure and pseudo-pure fluid thermophysical property evaluation and the open-source thermophysical property library CoolProp,” Ind. Eng. Chem. Res. 53, 2498 (2014).https://doi.org/10.1021/ie4033999
21. E. W. Lemmon, I. H. Bell, M. L. Huber, and M. O. McLinden, NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 10.0 (National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD, 2018).
22. L. A. Bulavin, Y. G. Rudnikov, and A. V. Chalyi, “Contributions to the isothermal compressibility coefficient of water near the temperature of 42 °C,” AIP Adv. 14, 085213 (2024).https://doi.org/10.1063/5.0205612
23. L. A. Bulavin, and Y. G. Rudnikov, “Temperature and pressure effect on the thermodynamics coefficient (∂V/∂T)p of water,” Ukr. J. Phys. 68, 122 (2023).https://doi.org/10.15407/ujpe68.2.122
24. V. Diky, J. P. O’Connell, J. Abildskov, K. Kroenlein, and M. Frenkel, “Representation and validation of liquid densities for pure compounds and mixtures,” J. Chem. Eng. Data 60, 3545 (2015).https://doi.org/10.1021/acs.jced.5b00477
25. P. M. Kessel’man, “Modification of the cell model and the equation of state of liquids,” J. Eng. Phys. 54, 50 (1988).https://doi.org/10.1007/BF00870226
26. B. E. Poling, J. M. Prausnitz, and J. P. O'Connell, The Properties of Gases and Liquids (McGraw-Hill, New York, 2001).
27. M. F. Chaplin, Encyclopedia of Water: Science, Technology, and Society (Wiley Online Library, 2019), p. 1.
28. P. Gallo, K. Amann-Winkel, C. A. Angell, M. A. Anisimov, F. Caupin, C. Chakravarty, E. Lascaris, T. Loerting, A. Z. Panagiotopoulos, J. Russo et al, “Water: A tale of two liquids,” Chem. Rev. 116, 7463 (2016).https://doi.org/10.1021/acs.chemrev.5b00750
29. J. Russo, and H. Tanaka, “Understanding water’s anomalies with locally favoured structures,” Nat. Commun. 5, 3556 (2014).https://doi.org/10.1038/ncomms4556
30. A. Nilsson, and L. G. M. Pettersson, “The structural origin of anomalous properties of liquid water,” Nat. Commun. 6, 8998 (2015).https://doi.org/10.1038/ncomms9998
31. R. Shi, and H. Tanaka, “Direct evidence in the scattering function for the coexistence of two types of local structures in liquid water,” J. Am. Chem. Soc. 142, 2868 (2020).https://doi.org/10.1021/jacs.9b11211
32. I. I. Novikov, “Thermodynamic similarity and prediction of the properties and characteristics of substances and processes,” J. Eng. Phys. 53, 1227 (1987).https://doi.org/10.1007/BF00871080
33. H. W. Xiang, The Corresponding-States Principle and its Practice: Thermodynamic, Transport and Surface Properties of Fluids (Elsevier, 2005).
34. I. V. Zhyganiuk, and M. P. Malomuzh, “Physical nature of hydrogen bond,” Ukr. J. Phys. 60, 960 (2015).https://doi.org/10.15407/ujpe60.09.0960
35. N. K. Alphonse, S. R. Dillon, R. C. Dougherty, D. K. Galligan, and L. N. Howard, “Direct Raman evidence for a weak continuous phase transition in liquid water,” J. Phys. Chem. A 110, 7577 (2006).https://doi.org/10.1021/jp062009e
36. L. B. Skinner, C. J. Benmore, J. C. Neuefeind, and J. B. Parise, “The structure of water around the compressibility minimum,” J. Chem. Phys. 141, 214507 (2014).https://doi.org/10.1063/1.4902412
37. L. Labrador-Páez, C. Mingoes, F. Jaque, P. Haro-González, H. Bazin, J. M. Zwier, D. Jaque, and N. Hildebrandt, “Ph dependence of water anomaly temperature investigated by Eu (III) cryptate luminescence,” Anal. Bioanal. Chem. 412, 73 (2020).https://doi.org/10.1007/s00216-019-02215-0
38. J. Catalán and J. A. Gonzalo, “Liquid water changes its structure at 43°C,” Chem. Phys. Lett. 679, 86 (2017).https://doi.org/10.1016/j.cplett.2017.04.092
39. J. C. Del Valle, E. Camarillo, L. Martinez Maestro, J. A. Gonzalo, C. Aragó, M. Marqués, D. Jaque, G. Lifante, J. G. Solé, K. Santacruz-Gómez et al, “Dielectric anomalous response of water at 60°C,” Philos. Mag. 95, 683 (2015).https://doi.org/10.1080/14786435.2014.1000419
40. L. S. Shraiber, “Experimental investigation of the thermal dependence of the piezo-optical coefficient of water between 5 and 90 °C,” Isr. J. Chem. 13, 181 (1975).https://doi.org/10.1002/ijch.197500026
41. L. P. Singh, B. Issenmann, and F. Caupin, “Pressure dependence of viscosity in supercooled water and a unified approach for thermodynamic and dynamic anomalies of water,” Proc. Natl. Acad. Sci. 114, 4312 (2017).https://doi.org/10.1073/pnas.1619501114
42. O. V. Khorolskyi and A. V. Kryvoruchko, “Non-trivial behavior of the acid-base balance of pure water near the temperature of its dynamic phase transition,” Ukr. J. Phys. 66, 972 (2021).https://doi.org/10.15407/ujpe66.11.972
43. L. A. Bulavin, N. P. Malomuzh, and O. V Khorolskyi, “Temperature and concentration dependences of pH in aqueous NaCl solutions with dissolved atmospheric CO2,” Ukr. J. Phys. 67, 833 (2022).https://doi.org/10.15407/ujpe67.12.833