Application of the Modified Benedict–Webb–Rubin Equation of State (EoS) for Predicting Hydrogen Gas Mass Production
DOI:
https://doi.org/10.32734/jotp.v8i2.25358Keywords:
Ideal Gas, Modified Benedict-Webb-Rubin, Peng-Robinson, Very High Temperature ReactorAbstract
This study aims to predict hydrogen gas production using equations of state (EoS). It highlights the behaviour of real gases, which deviates from that of ideal gases under extreme conditions. The EoS considered are the ideal gas (PVT), Peng–Robinson (PR), and Modified Benedict–Webb–Rubin (MBWR) models. These models are used to compare predicted hydrogen gas production based on volume, pressure, and temperature parameters. The results indicate that at low temperatures and pressures, predictions from the ideal gas (PVT) and PR models are agree with experimental data. However, significant deviations occur at higher temperatures and pressures. Predictions using the MBWR equation show deviations up to 20% at 25 to 150 °C for pressure up to 20 MPa. The PVT and PR models exhibited deviations of up to 90%, Overall, the simulation demonstrates that the MBWR equation provides a higher accuracy compared to the other two models.
Downloads
References
[1] E. Shaber et al., “Very high temperature reactor (VHTR) survey of materials research and development needs to support early deployment,” INEEL/EXT-03-00141, Idaho National Engineering and Environmental Laboratory, 2003, doi: 10.2172/910626.
[2] A. S. Ayon, A. Alif, and A. S. M. Nasim, “A review and analysis of nuclear hydrogen production in Generation IV reactors,” International Journal of Nuclear Security, vol. 9, no. 2, 2024, doi: 10.7290/ijns09777962.
[3] M. A. Fütterer et al., “Status of the very high temperature reactor system,” Prog. Nucl. Energy, vol. 77, pp. 266–281, 2014, doi: 10.1016/j.pnucene.2014.01.013.
[4] M. Jaszczur, M. A. Rosen, T. Śliwa, M. Dudek, and L. Pieńkowski, “Hydrogen production using high temperature nuclear reactors: Efficiency analysis of a combined cycle,” Int. J. Hydrog. Energy, vol. 41, no. 19, pp. 7861–7871, 2016, doi: 10.1016/j.ijhydene.2015.11.190.
[5] M. W. Zemansky and R. H. Dittman, Heat and Thermodynamics: An Intermediate Textbook, 7th ed. McGraw-Hill, New York, 1997.
[6] F. Tassone, S. Lorenzi, M. E. Ricotti, and G. Locatelli, “The economics of hydrogen production: The case of a GEN-IV reactor coupled with a high-temperature electrolysis plant,” Energy, vol. 335, p. 138222, 2025, doi: 10.1016/j.energy.2025.138222.
[7] K. G. dos Santos et al., “Hydrogen production in the electrolysis of water in Brazil, a review,” Renew. Sustain. Energy Rev., vol. 68, Part 1, pp. 563–571, 2017, doi: 10.1016/j.rser.2016.09.128.
[8] P. Parthasarathy and K. S. Narayanan, “Hydrogen production from steam gasification of biomass: Influence of process parameters on hydrogen yield – A review,” Renewable Energy, vol. 66, pp. 570–579, 2014, doi: 10.1016/j.renene.2013.12.025
[9] H. Hinojosa-Gómez, J. F. Barragán-Aroche, and E. R. Bazúa-Rueda, “A modification to the Peng–Robinson-fitted equation of state for pure substances,” Fluid Phase Equilibria, vol. 298, no. 1, pp. 12–23, 2010, doi: 10.1016/j.fluid.2010.06.022.
[10] F. B. Olanrewaju, I. O. Oboh, O. A. Adesina, C. S. Anyanwu, and D. R. E. Ewim, “Modelling and simulation of hydrogen production plant for minimum carbon dioxide emission,” J. Eng. Exact Sci., vol. 9, no. 1, p. 15394-01e, 2023, doi: 10.18540/jcecvl9iss1pp15394-01e.
[11] M. Benedict, G. B. Webb, and L. C. Rubin, “An empirical equation for thermodynamic properties of light hydrocarbons and their mixtures. I. Methane, ethane, propane and n-butane,” J. Chem. Phys., vol. 8, no. 4, pp. 334–345, 1940, doi: 10.1063/1.1750658.
[12] B. A. Younglove, “Thermophysical Properties of Fluids. I. Argon, Ethylene, Parahydrogen, Nitrogen, Nitrogen Trifluoride, and Oxygen,” J. Phys. Chem. Ref. Data, vol. 11, Supplement No. 1, 1982.
[13] R. Elder and R. Allen, “Nuclear heat for hydrogen production: Coupling a very high/high temperature reactor to a hydrogen production plant,” Prog. Nucl. Energy, vol. 51, no. 3, pp. 500–525, 2009, doi: 10.1016/j.pnucene.2008.11.001.
[14] Q. Hu, K. Yuan, W. Peng, G. Zhao, and J. Wang, “A numerical study of heat transfer enhancement by helically corrugated tubes in the intermediate heat exchanger of a very-high-temperature gas-cooled reactor,” Nucl. Eng. Des., vol. 380, p. 111275, 2021, doi: 10.1016/j.nucengdes.2021.111275.
[15] W. A. Summers, J. L. Steimke, D. T. Hobbs, H. R. Colon-Mercado, and M. B. Gorensek, "Development of a Sulfur Dioxide Depolarized Electrolyzer for Hydrogen Production Using the Hybrid Sulfur Thermochemical Process," in Proceedings of the Fourth International Topical Meeting on High Temperature Reactor Technology, HTR2008-58196, pp. 527–529, 2019, doi: 10.1115/HTR2008-58196.
[16] J. Sierchuła and M. Spirzewski, “Final design and safety analysis of the 30 MWth HTGR-POLA reactor,” Nucl. Eng. Technol., In Press, Corrected Proof, p. 104418, 2026, doi: 10.1016/j.net.2026.104418.
[17] Y. Mao, Y. Gao, W. Dong, H. Wu, Z. Song, X. Zhao, J. Sun, and W. Wang, “Hydrogen production via a two-step water splitting thermochemical cycle based on metal oxide – A review,” Appl. Energy, vol. 267, p. 114860, 2020, doi: 10.1016/j.apenergy.2020.114860.
[18] D. Y. Peng and D. B. Robinson, “A new two-constant equation of state,” Ind. Eng. Chem. Fundam., vol. 15, no. 1, pp. 59–64, 1976, doi: 10.1021/i160057a011.
[19] A. Michels, W. De Graaff, T. Wassenaar, J. M. H. Levelt, and P. Louwerse, “Compressibility isotherms of hydrogen and deuterium at temperatures between −175 °C and +150 °C (at densities up to 960 Amagat),” Physica, vol. 25, no. 1–6, pp. 25–42, 1959, doi: 10.1016/S0031-8914(59)90713-X.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Journal of Technomaterial Physics
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
