The Influence of the Temperature and Chemical Potential on the Thermodynamic Coefficient −(dV/dP)T of Water
DOI:
https://doi.org/10.15407/ujpe68.6.390Keywords:
water, argon, isothermal compressibility, chemical potential, liquid-vapor coexistence curve, liquid-solid coexistence curve, hydrogen bondsAbstract
On the basis of available literature data, the temperature, T, and chemical potential, μ, dependences of the thermodynamic coefficient −(dV/dP)T for water in the liquid state are calculated and analyzed. The coefficient found for water is compared with that for argon. Taking the principle of corresponding states into account, the existence of a region of thermodynamic similarity between those two substances is confirmed. At the same time, there is a region of thermodynamic parameters, where the indicated similarity is not observed. It is shown that, for water, there is a particular temperature of (42 .0 ± 0 .2 ) ∘C at which the T-dependence of the thermodynamic coefficient −(dV/dP)T along the liquid–vapor equilibrium curve has a minimum. This feature leads to a specific behavior of the thermodynamic coefficient −(dV/dP)T for water, which is not observed for argon. It is shown that there is a particular μ value for water at which the μ-dependence of the thermodynamic coefficient −(dV/dP)T along the liquid-vapor coexistence curve also has a minimum. In addition, at the triple point of water, the thermodynamic coefficient −(dV/dP)T as a function of μ reaches a maximum value.
References
G.M. Kontogeorgis, A. Holster, N. Kottaki, E. Tsochantaris, F. Topsøe, J. Poulsen, M. Bache, X. Liang, N.S. Blom, 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
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
O.V. Tomchuk, L.A. Bulavin, V.L. Aksenov, V.M. Garamus, O.I. Ivankov, A.Y. Vul', A.T. Dideikin, M.V. Avdeev. Small-angle scattering from polydisperse particles with a diffusive surface. J. Appl. Crystallogr. 47, 642 (2014).
https://doi.org/10.1107/S1600576714001216
E.A. Kyzyma, A.A. Tomchuk, L.A. Bulavin, V.I. Petrenko, L. Alm'asy, M.V. Korobov, D.S. Volkov, I.V. Mikheev, I.V. Koshlan, N.A. Koshlan, P. Bl'aha, M.V. Avdeev, V.L. Aksenov. Structure and toxicity of aqueous fullerene C60 solutions. J. Surface Investigation. X-ray, Synchrotron and Neutron Techniques 9, 1 (2015).
https://doi.org/10.1134/S1027451015010127
V.I. Petrenko, O.P. Artykulnyi, L.A. Bulavin, L. Alm'asy, V.M. Garamus, O.I. Ivankov, N.A. Grigoryeva, L. Vekas, P. Kopcansky, M.V. Avdeev. On the impact of surfactant type on the structure of aqueous ferrofluids. Colloid. Surface. A 541, 222 (2018).
https://doi.org/10.1016/j.colsurfa.2017.03.054
A.V. Chalyi, A.N. Vasil'ev. Correlation properties, critical parameters and critical light scattering in finite-size systems. J. Mol. Liq. 84, 203 (2000).
https://doi.org/10.1016/S0167-7322(99)00187-7
A.V. Chalyi, A.N. Vasil'ev, E.V. Zaitseva. Synaptic transmission as a cooperative phenomenon in confined systems. Condens. Matter Phys. 20, 13804 (2017).
https://doi.org/10.5488/CMP.20.13804
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, 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, 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
J.H.S. Lee, K. Ramamurthi. Fundamentals of Thermodynamics (CRC Press, 2022).
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. Chem. Phys. 152, 154501 (2020).
https://doi.org/10.1063/5.0002720
K.H. Kim, A. Sp¨ah, H. Pathak, F. Perakis, D. Mariedahl, K. Amann-Winkel, J.A. Sellberg, J.H. Lee, S. Kim, J. Park, K.H. Nam, T. Katayama, A. Nilsson. Maxima in the thermodynamic response and correlation functions of deeply supercooled water. Science 358, 1589 (2017).
https://doi.org/10.1126/science.aap8269
F. Mallamace, C. Corsaro, D. Mallamace, C. Vasic, 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
C. Yaws. Thermophysical Properties of Chemicals and Hydrocarbons. 2nd Edition (Gulf Professional Publishing, 2014).
M.Z. Southard, D.W. Green. Perry's Chemical Engineers' Handbook (Mcgraw-Hill Education, 2019).
MiniRefprop Database, NIST (https://trc.nist.gov/ refprop/MINIREF/MINIREF.HTM).
SRD69 Database, Thermophysical Properties of Fluid Systems, Peter Linstrom (2017), NIST Chemistry WebBook - SRD 69, National Institute of Standards and Technology.
I.H. Bell, J. Wronski, S. Quoilin, 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)ю
https://doi.org/10.1021/ie4033999
MOL-Instincts Database, ChemEssen. https://www.molinstincts.com/.
ChemRTP Database, ChemEssen. http://www.chemrtp.com/.
Refprop Database, NIST. https://www.nist.gov/programs-projects/reference-fluid-thermodynamic-andtransport-properties-database-refprop.
WTT Database, NIST. https://wtt-pro.nist.gov/wtt-pro/.
ThermodataEngine Database, NIST. https://trc.nist.gov/tde.html.
L.A. Bulavin, E.G. Rudnikov. Temperature and pressure effect on the thermodynamics coefficient (dV/dT)P of water. Ukr. J. Phys. 68, 122 (2023).
https://doi.org/10.15407/ujpe68.2.122
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).
https://doi.org/10.1016/B978-044452062-3/50005-1
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
M. F. Chaplin. Structure and properties of water in its various states. In Encyclopedia of Water: Science, Technology, and Society. Edited by P. A. Maurice (John Wiley and Sons, 2019).
https://doi.org/10.1002/9781119300762.wsts0002
L.G.M. Pettersson. A two-state picture of water and the funnel of life. In: Modern Problems of the Physics of Liquid Systems. Selected Reviews from the 8th International Conference "Physics of Liquid Matter: Modern Problems", Kyiv, Ukraine, May 18-22, 2018. Edited by L. Bulavin, L. Xu (Springer Cham, 2019).
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