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Calculation of CO_{2} P-ρ-T properties in the temperature range from T = 400 K to T = 1700 K

R.A. Magomedov, E.N. Akhmedov

^{} Institute for Geothermal Researches and Renewable Energy, The Joint Institute for High Temperatures of the Russian Academy of Sciences

**DOI:** 10.26456/pcascnn/2023.15.274

* Original article*

**Abstract: ** Сalculation of the carbon dioxide state equation isotherms in the temperature range from T = 400 K to T = 1700 K is presented. Implemented calculation method is a refinement of the previously proposed approach based on the fractal state equation and specially developed software Fract EOS. The calculation results are in good agreement with the experimental data. It is shown, that the fitting parameter α of the fractal state equation for carbon dioxide does not depend on temperature. The density dependence can be accurately approximated using the polynomial. This fact simplifies the calculation of isotherms in a wide temperature range, and allowed to make the calculation for temperatures, that are not presented in the tabular reference data. The obtained results show that the proposed equation of state is suitable for studying not only simple substances like noble gases, but also for more complex substances, such as carbon dioxide.

*Keywords: equation of state, integral-differentiation of fractional order, Maxwell relations, Helmholtz potential, partition function, carbon dioxide, isotherm, thermophysical properties *

- Ramazan A. Magomedov – Senior Researcher, Institute for Geothermal Researches and Renewable Energy, The Joint Institute for High Temperatures of the Russian Academy of Sciences
- Enver N. Akhmedov – Researcher, Institute for Geothermal Researches and Renewable Energy, The Joint Institute for High Temperatures of the Russian Academy of Sciences

**Reference: **

**Magomedov, R.A. ** Calculation of CO_{2} P-ρ-T properties in the temperature range from T = 400 K to T = 1700 K /
R.A. Magomedov, E.N. Akhmedov //
Physical and chemical aspects of the study of clusters, nanostructures and nanomaterials. — 2023. — I. 15. — P. 274-281. DOI: 10.26456/pcascnn/2023.15.274. (In Russian).

**Full article (in Russian): **
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