Temperature and Pressure Effect on the Thermodynamics Coefficient (∂V/∂T)p of Water
DOI:
https://doi.org/10.15407/ujpe68.2.122Keywords:
water, argon, isobaric expansion coefficient, liquid-vapor coexistence curve, liquid-solid coexistence curve, hydrogen bondsAbstract
On the basis of literature data, the temperature and pressure dependences of the thermodynamic coefficient (∂V/∂T)P for liquid water have been calculated and analyzed. The obtained results are compared with the relevant data for argon. Taking the principle of corresponding states into account, the existence of a region, where the thermodynamic similarity between water and argon takes place, is confirmed. At the same time, there is a region, where the indicated similarity is not observed, and the thermodynamic properties of water demonstrate a peculiar behavior. In particular, an inflection point at a temperature of (91.0 ± 0.2 )∘C is observed in the temperature dependence of the curve (∂V/∂T)P for water, but not for argon, along the liquid-vapor equilibrium curve. The existence of inflection point in the dependence (∂V/∂T)P for water leads to the presence of negative values of (∂V/∂T)P at temperatures below 3.98∘C, as well as to the intersection of the temperature dependences of isobars (∂V/∂T)P in water at a temperature of (42 .0 ± 0 .2 )∘C. On the contrary, the temperature dependences of the curves (∂V/∂T)P for argon along the liquid-vapor equilibrium curve do not have a corresponding inflection point.
References
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. Analys. 6, 100053 (2022).
https://doi.org/10.1016/j.ctta.2022.100053
H. Tanaka. Roles of liquid structural ordering in glass transition, crystallization, and water's anomalies. J. NonCryst. Solids X 13, 100076 (2022).
https://doi.org/10.1016/j.nocx.2021.100076
A. Nilsson, L. Pettersson. The structural origin of anomalous properties of liquid water. Nat. Commun. 6, 8998 (2015).
https://doi.org/10.1038/ncomms9998
V. Pogorelov, I. Doroshenko, G. Pitsevich, V. Balevicius, V. Sablinskas, B. Krivenko, L.G.M. Pettersson. From clusters to condensed phase - FT IR studies of water. J. Mol. Liq. 235, 7 (2017).
https://doi.org/10.1016/j.molliq.2016.12.037
E.N. Kozlovskaya, G.A. Pitsevich, A.E. Malevich, O.P. Doroshenko, V.E. Pogorelov, I.Yu. Doroshenko, V. Balevicius, V. Sablinskas, A.A. Kamnev. Raman spectroscopic and theoretical study of liquid and solid water within the spectral region 1600-2300 cm−1. Spectrochim. Acta. A 196, 406 (2018).
https://doi.org/10.1016/j.saa.2018.01.071
V.I. Petrenko, M.V. Avdeev, L. Alm'asy, L.A. Bulavin, V.L. Aksenov, L. Rosta, V.M. Garamus. Interaction of mono-carboxylic acids in benzene studied by small-angle neutron scattering. Colloids and Surfaces A: Physicochem. Eng. Aspects 337, 91 (2009).
https://doi.org/10.1016/j.colsurfa.2008.12.001
O.A. Kyzyma, T.O. Kyrey, M.V. Avdeev, M.V. Korobov, L.A. Bulavin, 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
L. Meln'ikov'a, V.I. Petrenko, M.V. Avdeev, V.M. Garamus, L. Alm'asy, O.I. Ivankov, L.A. Bulavin, Z. Mitr'oov'a, P. Kopˇcansk'y. Effect of iron oxide loading on magnetoferritin structure in solution asrevealed by SAXS and SANS. Colloids and Surfaces B: Biointerfaces 123, 82 (2014).
https://doi.org/10.1016/j.colsurfb.2014.08.032
Ch. Tegeler, R. Span, W. Wagner. A new equation of state for argon covering the fluid region for temperatures from the melting line to 700 K at pressures up to 1000 MPa. J. Phys. Chem. Ref. Data. 28 (3), 779 (1999).
https://doi.org/10.1063/1.556037
R. Span, W. Wagner. Equations of state for technical applications. II. Results for nonpolar fluids. Int. J. Thermophys. 24 (1), 41 (2003).
F. Mallamace, C. Corsaro, 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
L.N. Dzhavadov, V.V. Brazhkin, Yu.D. Fomin, V.N. Ryzhov, E.N. Tsiok. Experimental study of water thermodynamics up to 1.2 GPa and 473 K. J. Chemi. Phys. 152, 154501 (2020).
https://doi.org/10.1063/5.0002720
F. Mallamace, C. Corsaro, D. Mallamace, S. Vasi, C. Vasi, H.E. Stanley. Thermodynamic properties of bulk and confined water. J. Chem. Phys. 141, 18C504 (2014).
https://doi.org/10.1063/1.4895548
J.H.S. Lee, K. Ramamurthi. Fundamentals of Thermodynamics (CRC Press, 2022) [ISBN: 1032123125, 9781032123127].
C. Yaws. Thermophysical Properties of Chemicals and Hydrocarbons. Second Edition (Gulf Professional Publishing, 2014) [ISBN: 978-0-323-28659-6].
M.Z. Southard, D.W. Green. Perry's Chemical Engineers' Handbook (Mcgraw-Hill Education, 2019) [ISBN: 9780071834087].
https://trc.nist.gov/refprop/miniref/miniref.htm.
https://webbook.nist.gov/chemistry/fluid.
https://trc.nist.gov/tde.html.
https://wtt-pro.nist.gov/wtt-pro.
I.I. Novikov. Thermodynamic similarity and prediction of the properties and characteristics of substances and processes. J. Eng. Phys. Fundam. Thermodyn. 53, 1227 (1987).
https://doi.org/10.1007/BF00871080
H.W. Xiang. The Corresponding-States Principle and Its Practice. Thermodynamic, Transport and Surface Properties of Fluids. (Elsevier Science, 2005) [ISBN: 978-0-444-52062-3].
V. Diky, J.P. O'Connell, J. Abildskov, K. Kroenlein, 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
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
B.E. Poling, J.M. Prausnitz, J.P. O'Connell. The Properties of Gases and Liquids. Fifth Edition (McGraw-Hill Professional, 2000) [ISBN: 0070116822].
Sh. Wang, H. Xiang, B. Han. The modification and generalization of BWR equation. Fluid Phase Equilibr. 181, 71 (2001).
https://doi.org/10.1016/S0378-3812(01)00359-4
M. Frenkel, K.N. Marsh, K.N. Marsh, J.H. Dymond, R.C. Wilhoit, K.C. Wong. Virial Coefficients of Pure Gases (Springer, 2002) [ISBN: 3540433457].
https://doi.org/10.1007/b71692
J.D. Dymond, R.C. Wilhoit, K.N. Marsh, K.N. Marsh, M. Fenkel. Virial Coefficients of Pure Gases and Mixtures (Springer, 2003) [ISBN: 3540443401].
F. Franks. Water: A Matrix of Life (Royal Society of Chemistry, 2000) [ISBN: 978-0-85404-583-9].
P. Gallo, K. Amann-Winkel, C.A. Angell, M.A. Anisimov, F. Caupin, Ch. Chakravarty, E. Lascaris, T. Loerting, A.Z. Panagiotopoulos, J. Russo, J.A. Sellberg, H.E. Stanley, H. Tanaka, C. Vega, L. Xu, L.G.M. Pettersson. Water: A tale of two liquids. Chem. Rev. 116, 7463 (2016).
https://doi.org/10.1021/acs.chemrev.5b00750
J. Russo, H. Tanaka. Understanding water's anomalies with locally favoured structures. Nat. Commun. 5, 3556 (2014).
https://doi.org/10.1038/ncomms4556
R. Shi, 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
Zhipeng Jin, Jiangtao Zhao, Gang Chen, Guo Chen, Zhenlin Luo, Lei Xu. Revealing the three-component structure of water with principal component analysis (PCA) of X-ray spectra. Soft Matter 18, 7486 (2022).
https://doi.org/10.1039/D2SM00576J
A.I. Fisenko, N.P. Malomuzh, A.V. Oleynik. To what extent are thermodynamic properties of water argon-like? Chem. Phys. Lett. 450, 297 (2008).
https://doi.org/10.1016/j.cplett.2007.11.036
I.V. Zhyganiuk, M.P. Malomuzh. Physical nature of hydrogen bond. Ukr. J. Phys. 60, 960 (2015).
https://doi.org/10.15407/ujpe60.09.0960
L.A. Bulavin, V.Ya. Gotsulskyi, N.P. Malomuzh, A.I. Fisenko. Crucial role of water in the formation of basic properties of living matter. Ukr. J. Phys. 65, 794 (2020).
https://doi.org/10.15407/ujpe65.9.794
N.K. Alphonse, S.R. Dillon, R.C. Dougherty, D.K. Galligan, 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
L.B. Skinner, C.J. Benmore, J.C. Neuefeind, J.B. Parise. The structure of water around the compressibility minimum. J. Chem. Phys. 141, 214507 (2014).
https://doi.org/10.1063/1.4902412
L. Labrador-P'aez, C. Mingoes, F. Jaque, P. Haro-Gonz'alez, H. Bazin, Ju.M. Zwier, D. Jaque, N. Hildebrandt. pH dependence of water anomaly temperature investigated by Eu(III) cryptate luminescence. Analyt. Bioanalyt. Chem. 412, 73 (2020).
https://doi.org/10.1007/s00216-019-02215-0
J. Catal'an, 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
J.C. del Valle, E. Camarillo, L.M. Maestro, J.A. Gonzalo, C. Arag'o, M. Marqu'es, D. Jaque, G. Lifante, J.G. Sol'e, K. Santacruz-G'omez, R.C. Carrillo-Torres, F. Jaque. Dielectric anomalous response of water at 60 ∘C. Philos. Mag. A 95, 683 (2015).
https://doi.org/10.1080/14786435.2014.1000419
L.S. Shraiber. Experimental investigation ofthe thermal dependence of the piezo-optical coefficient of water between 5 and 90 ∘C. Israel J. Chem. 13, 181 (1975).
https://doi.org/10.1002/ijch.197500026
L.A. Bulavin, A.I. Fisenko, N.P. Malomuzh. Surprising properties of the kinematic shear viscosity of water. Chem Phys. Lett. 453, 183 (2008).
https://doi.org/10.1016/j.cplett.2008.01.028
L.P. Singh, B. Issenmann, F. Caupin. Pressure dependence of viscosity in supercooled water and a unified approach for thermodynamic and dynamic anomalies of water. Proc. Natl Acad. Sci. USA 114, 4312 (2017).
https://doi.org/10.1073/pnas.1619501114
L.A. Bulavin, T.V. Lokotosh, N.P. Malomuzh. Role of the collective self-diffusion in water and other liquids. J. Mol. Liq. 137, 1 (2008).
https://doi.org/10.1016/j.molliq.2007.05.003
O.V. Khorolskyi, 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
L.A. Bulavin, N.P. Malomuzh, O.V. Khorolskyi. Temperature and concentration dependences of pH in aqueous NaCl solutions with dissolved atmospheric CO2. Ukr. J. Phys. 67, 833 (2022).
Downloads
Published
How to Cite
Issue
Section
License
Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.