Abstract
A new fundamental low-parametric equation of state in the form of reduced Helmholtz function for describing thermodynamic properties of normal substances was obtained using the methods and approaches developed earlier by the authors. It allows us to describe the thermal properties of gas, liquid, and fluid in the range from the density in ideal-gas state to the density at a triple point (except the critical region) with sufficiently high accuracy close to the accuracy of experiment. The caloric properties and sound velocity of argon, nitrogen, and carbon dioxide are calculated without involving any caloric data, except the ideal gas enthalpy. The obtained values of isochoric heat capacity, sound velocity, and other thermodynamic properties are in good agreement with experimental (reliable tabular) data.
Similar content being viewed by others
References
A.B. Kaplun and A.B. Meshalkin, Thermal and caloric equations of state for liquid and gas, Teplofizika i Aeromekhanika, 2009. Vol. 16, Spec. vypusk, P. 719–724.
A.B. Kaplun, A.B. Meshalkin, and B.I. Kidyarov, Simple equation of state for liquid and gas of ordinary substances, Bulletin of Kazan Technological University, 2010. No. 1, P. 88–91.
A.B. Kaplun and A.B. Meshalkin, Small-parameter and caloric equations of state of a real gas, High Temperature, 2010. Vol. 48, No. 5, P. 659–664.
A.B. Kaplun and A.B. Meshalkin, Phenomenological method for construction of the liquid and gas equation of state, J. Chemical & Engng Data, 2010. Vol. 55, Р. 4285–4289.
A.B. Kaplun and A.B. Meshalkin, Simple self-empirical equation of state of liquid and gas for engineering calculations, J. Chemical & Engng Data, 2011. Vol. 56, Р. 1463-1467.
A.B. Kaplun and A.B. Meshalkin, Equation of state for dense gases of one-component substances, Doklady Physics, 2003. Vol. 48, No. 9, P. 490–494.
P.P. Bezverkhy, V.G. Martynets, E.V. Matizen, A.B. Kaplun, and A.B. Meshalkin, Description of SF6 behavior within the state range from the triple point to supercritical fluid, Thermophysics and Aeromechanics, 2012. Vol. 19, Iss. 4, P. 679–789.
A.B. Kaplun and A.B. Meshalkin, A low-parametric state equation for calculating the thermodynamic properties of substances in liquid and gaseous state, Rus. J. Phys. Chem. A, 2013. Vol. 87, No. 8, P. 1284–1290.
A.B. Kaplun and A.B. Meshalkin, Unified low-parametrical equation of state for engineering calculations of thermodynamic properties of substances, EPJ Web of Conferences, 2014. Vol. 76, P. 01026-1-01026-4.
Ch. Tegeler, R. Span, and 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, 1999. Vol. 28, No. 3, P. 779–850.
R. Span, E.W. Lemmon, R.T. Jacobsen et al., Reference equation of state for the thermodynamic properties of nitrogen for temperatures from 63.151 to 1000 K and pressures to 2200 MPa, J. Phys. Chem. Ref. Data, 2000. Vol. 29, No. 6, P. 1361–1433.
R. Span and W. Wagner, A new equation of state for carbon dioxide covering the fluid region from the triplepoint temperature to 1100 K at pressures up to 800 MPa, J. Phys. Chem. Ref. Data, 1996. Vol. 25, No. 6, Р. 1509–1596.
R. Span and W. Wagner, Equation of state for technical applications, Int. J. Thermophysics, 2003. Vol. 24, No. 1, P. 41–109.
J. Klimeck, R. Kleinrahm, and W. Wagner, Measurements of the (p, ρ, T) relation of methane and carbon dioxide in the temperature range 240 K to 520 K at pressures up to 30 MPa using a new accurate single-sinker densimeter, J. Chem. Thermodynamics, 2001. Vol. 33, P. 251–267.
I.I. Novikov and Yu.S. Trelin, New method for plotting the thermodynamic diagrams of working substances, Thermal Engineering, 1962. Vol. 9, No. 2, P. 78–85.
V.A. Gruzdev and V.I. Slabnyak, Experimental study of sound in carbon dioxide on low frequencies in the pressure range of 1–40 kgs/cm2, in: Investigation of Thermal-Physical Properties of Substances, Nauka, Novosibirsk, 1970. P. 150–156.
L.L. Pitaevskaya and A.V. Bilevich, Ultrasound velocity in carbon dioxide under the pressures of up to 4.5 kbar, Rus. J. Phys. Chem. A, 1973. Vol. 47, No. 1, P. 227–229.
V.V. Altunin, Thermal-Physical Properties of Carbon Dioxide, Izd. Standartov, Moscow, 1975.
Kh.I. Amirkhanov, N.G. Polikhronidi, and R.G. Batyrova, Experimental determination of thermal capacity CV of liquid carbonic acid, Thermal Engineering, 1970. Vol. 17, No. 3, P. 70–72.
Kh.I. Amirkhanov, N.G. Polikhronidi, B.G. Alibekov, and R.G. Batyrova, Isochoric thermal capacity of carbon dioxide, Thermal Engineering, 1971. Vol. 18, No. 12, P. 59–62.
J.W. Magee and J.F. Ely, Specific heats (CV) of saturated and compressed liquid and vapor carbon dioxide, Inter. J. Thermophysics, 1986. Vol. 7, No. 6, P. 1163–1182.
Author information
Authors and Affiliations
Corresponding author
Additional information
The work was financially supported by Russian Foundation for Basic Research (Grant No. 15-08-01072а).
Rights and permissions
About this article
Cite this article
Kaplun, A.B., Meshalkin, A.B. Simple fundamental equation of state for liquid, gas, and fluid of argon, nitrogen, and carbon dioxide. Thermophys. Aeromech. 24, 513–522 (2017). https://doi.org/10.1134/S0869864317040023
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864317040023