Are the Heat Capacities of Liquids Calculated from Speeds of Sound and pρT Relationships Reliable? A Comparison with the Reference Values and a Discussion of the Uncertainties

• Autorzy: Szpaczek Sylwia , Marczak Wojciech

Identyfikatory

DOI

10.24425/aoa.2022.142890

• Języki publikacji: EN

Abstrakty

EN

Recent advances in the construction of speed of sound meters made high-accuracy routine measurements possible in laboratories non-specialized in physical acoustics. Reliable values of the isentropic compressibility can be obtained from speeds of sound and densities of liquids using the Laplace formula. Strict thermodynamic relationships connect the isentropic compressibility of a medium and its density as a function of temperature and pressure with the heat capacity. These relationships result from the principles of thermodynamics and require no approximations or molecular models. In this study, the heat capacities of twelve liquids: hydrocarbons, acetonitrile, and ionic liquids were calculated from the speeds and densities taken from the literature sources. The agreement of the calculation results with the reference heat capacities, either critical values or measured calorimetrically, was satisfactory. The relative uncertainty of the calculated heat capacities was rather conservatively estimated for 5%. If the measurement procedures were optimized for heat capacity determination, better results would be attained, with the uncertainty probably smaller than 1%. Thus, the speed-and-density method is a potential alternative to classical calorimetry.

Słowa kluczowe

EN

speed of sound; density; compressibilt; expansibility; calorimetr; elevated pressure

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2022
• Tom: Vol. 47, No. 4
• Strony: 547--554
• Opis fizyczny: Bibliogr. 30 poz., tab., wykr.

Twórcy

autor

Szpaczek Sylwia

• Faculty of Science and Technology, Jan Długosz University Częstochowa, Poland

autor

Marczak Wojciech

• Faculty of Science and Technology, Jan Długosz University Częstochowa, Poland

Bibliografia

• 1. Akhmadiyarov A.A., Marczak W., Petrov A.A., Rakipov I.T. (2021), Measurements of density at elevated pressure - a vibrating-tube densimeter calibration, uncertainty assessment, and validation of the results, Journal of Molecular Liquids, 336: 116196, doi: 10.1016/j.molliq.2021.116196.
• 2. Bridgman P.W. (1912), Thermodynamic properties of liquid water to 80X and 12000 kgm, Proceedings of the American Academy of Arts and Sciences, 48(9): 309-362, https://www.jstor.org/stable/20022832.
• 3. Checoni R.F., Francesconi A.Z. (2007), Measurements of the molar heat capacities and excess molar heat capacities for acetonitrile + diethylamine or sec-butylamine mixtures at various temperatures and atmospheric pressure, Journal of Solution Chemistry, 36(7): 913-922, doi: 10.1007/s10953-007-9155-0.
• 4. de Comiges B.E. et al. (2002), Temperature dependence of thermophysical properties of octane + 1-butanol system, Journal of Thermal Analysis and Calorimetry, 70(1): 217-227, doi: 10.1023/A:1020626205538.
• 5. Czermiński J., Iwasiewicz A., Paszek Z., Sikorski A. (1990), Statistical Methods in Applied Chemistry, PWN - Polish Scientific Publishers, Warszawa; Elsevier, Amsterdam, Oxford, New York, Tokyo.
• 6. Dzida M., Chorążewski M., Zorębski M., Mańka R. (2006), Modifications of a high pressure device for speed of sound measurements in liquids, Journal de Physique IV France, 137: 203-207, doi: 10.1051/jp4:2006137042.
• 7. Ernst S., Marczak W., Manikowski R., Zorebski E., Zorębski M. (1992), A sing-around apparatus for group velocity measurements in liquids. Testing by standard liquids and discussion of the errors, Acoustisc Letters, 15(7): 123-130.
• 8. Esperança J.M.S.S., Visak Z.P., Plechkova N.V., Seddon K.R., Guedes H.J.R., Rebelo L.P.N. (2006), Density, speed of sound, and derived thermodynamic properties of ionic liquids over an extended pressure range. 4. [C3mim][NTf2] and [C5mim][NTf2], Journal of Chemical & Engineering Data, 51(6): 2009-2015, doi: 10.1021/je060203o.
• 9. Geppert-Rybczyńska M., Sitarek M. (2014), Acoustic and volumetric properties of binary mixtures of ionic liquid 1-butyl-3-methylimidazolium Bis(trifluoromethylsulfonyl) imide with Acetonitrile and Tetrahydrofuran, Journal of Chemical & Engineering Data, 59(4): 1213-1224, doi: 10.1021/je400781b.
• 10. Ge R., Hardacre C., Jacquemin J., Nancarrow P., Rooney D.W. (2008), Heat capacities of ionic liquids as a function of temperature at 0.1 MPa. Measurement and prediction, Journal of Chemical & Engineering Data, 53(9): 2148-2153, doi: 10.1021/je800335v.
• 11. Gomes de Azevedo R. et al. (2005), Thermophysical and thermodynamic properties of ionic liquids over an extended pressure range: [bmim][NTf2] and [hmim][NTf2], The Journal of Chemical Thermodynamics, 37(9): 888-899, doi: 10.1016/j.jct.2005.04.018.
• 12. Gómez E., González B., Calvar N., Tojo E., Domínguez Á. (2006), Physical properties of pure 1-ethyl-3-methylimidazolium ethylsulfate and its binary mixtures with ethanol and water at several temperatures, Journal of Chemical & Engineering Data, 51(6): 2096-2102, doi: 10.1021/je060228n.
• 13. González B., Dominguez A., Tojo J. (2003), Viscosities, densities and speeds of sound of the binary systems: 2-propanol with octane, or decane, or dodecane at T = (293.15, 298.15, and 303.15) K, The Journal of Chemical Thermodynamics, 35(6): 939-953, doi: 10.1016/S0021-9614(03)00047-8.
• 14. Hovorka Š., Roux A.H., Roux-Desgranges G., Dohnal V. (1999), Limiting partial molar excess heat capacities and volumes of selected organic compounds in water at 25XC, Journal of Solution Chemistry, 28(12): 1289-1305, doi: 10.1023/A:1021743907228.
• 15. Lago S., Giuliano Albo P., Madonna Ripa D. (2006), Speed-of-sound measurements in n-nonane at temperatures between 293.15 and 393.15 K and at pressures up to 100 MPa, International Journal of Thermophysics, 27(4): 1083-1094, doi: 10.1007/s10765-006-0079-5.
• 16. Linstrom P.J., Mallard W.G. [Eds] (2021), NIST Chemistry WebBook, NIST Standard Reference Database Number 69, National Institute of Standards and Technology, Gaithersburg MD 20899, accessed: 1/07/2020-25/04/2021, doi: 10.18434/T4D303.
• 17. Luning Prak D., Lee B., Cowart J., Trulove P. (2017), Density, viscosity, speed of sound, bulk modulus, surface tension, and flash point of binary mixtures of butylbenzene + linear alkanes (n-Decane, n-Dodecane, n-Tetradecane, n-Hexadecane, or n-Heptadecane) at 0.1 MPa, Journal of Chemical & Engineering Data, 62(1): 169-187, doi: 10.1021/acs.jced.6b00542.
• 18. Marczak W., Dzida M., Ernst S. (2000), Determination of the thermodynamic properties of 1-propanol and 1-hexanol from speed of sound measurements under elevated pressures, High Temperatures - High Pressures, 32: 283-292, doi: 10.1068/htwu248.
• 19. Nath J. (1997), Speeds of sound in and isentropic compressibilities of (n-butanol + n-pentane, or n-hexane, or n-heptane, or n-octane, or 2,2,4-trimethylpentane, or carbon tetrachloride) at T = 293:15 K, The Journal of Chemical Thermodynamics, 29(8): 853-863, doi: 10.1006/jcht.1997.0200.
• 20. Nieto de Castro C. et al. (2010), Studies on the density, heat capacity, surface tension and infinite dilution diffusion with the ionic liquids [C4mim][NTf2], [C4mim][dca], [C2mim][EtOSO3] and [Aliquat] dca], Fluid Phase Equilibria, 294(1-2): 157-179, doi: 10.1016/j.fluid.2010.03.010.
• 21. Randzio S.L., Grolier J.-P.E., Quint J.R. (1995), Thermophysical properties of 1-hexanol over the temperature range from 303 K to 503 K and at pressures from the saturation line to 400 MPa, Fluid Phase Equilibria, 110(1-2) 341-359, doi: 10.1016/0378-3812(95)02761-3.
• 22. Reis J., Blandamer M., Davis M., Douhéret G. (2001), The concepts of non-Gibbsian and non-Lewisian properties in chemical thermodynamics, Physical Chemistry Chemical Physics, 3(8): 1465-1470, doi: 10.1039/B009512P.
• 23. Rocha M.A.A., Bastos M., Coutinho J.A.P., Santos L.M.N.B.F. (2012), Heat capacities at 298.15 K of the extended [CnC1im][Ntf2] ionic liquid series, The Journal of Chemical Thermodynamics, 53: 140-143, doi: 10.1016/j.jct.2012.04.025.
• 24. Sun T.F., Kortbeek P.J., Trappeniers N.J., Biswas S.N. (1987), Acoustic and thermodynamic properties of benzene and cyclohexane as a function of pressure and temperature, Physics and Chemistry of Liquids, 16(3): 163-178, doi: 10.1080/00319108708078516.
• 25. Sun T.F., Ten Seldam C.A., Kortbeek P.J., Trappeniers N.J., Biswas S.N. (1988), Acoustic and thermodynamic properties of ethanol from 273.15 to 333.15 K and up to 280 MPa, Physics and Chemistry of Liquids, 18(2): 107-116, doi: 10.1080/00319108808078584.
• 26. Takagi T., Teranishi H. (1987), Ultrasonic speed in compressed liquid by a sing-around method, The Journal of Chemical Thermodynamics, 19(12): 1299-1304, doi: 10.1016/0021-9614(87)90007-3.
• 27. Tamura K., Murakami S., Akagi Y., Fukumori M., Kawasaki Y. (1994), Thermodynamic properties of binary mixtures: hexamethylphosphoric triamide + a polar liquid at 25○C, Journal of Solution Chemistry, 23(9): 263-273, doi: 10.1007/BF00973550.
• 28. Tjahjono M., Garland M. (2008), Deuterium isotope effect on molar heat capacities and apparent molar heat capacities in dilute aqueous solutions: A multi- channel heat-flow microcalorimeter study, The Journal of Chemical Thermodynamics, 40(11): 1600-1606, doi: 10.1016/j.jct.2008.06.008.
• 29. Waliszewski D., Piekarski H. (2010), Heat capacities of the mixtures of ionic liquids with acetonitrile, The Journal of Chemical Thermodynamics 42(2): 189-192, doi: 10.1016/j.jct.2009.08.002.
• 30. Zorębski M. et al. (2016), Ultrasonic relaxation study of 1-alkyl-3-methylimidazolium-based room-temperature ionic liquids: probing the role of alkyl chain length in the cation, The Journal of Physical Chemistry B, 120(14): 3569-3581, doi: 10.1021/acs.jpcb.5b12635.