Acta Univ. Agric. Silvic. Mendelianae Brun. 2017, 65(2), 537-543 | DOI: 10.11118/actaun201765020537

The Equation of State of Biogas

Petr Trávníček, Tomáš Vítěz, Tomáš Koutný
Department of Agricultural, Food and Environmental Engineering, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czechia

The presented work deals with a state behavior of real gas, biogas. Theoretical approach was utilized for processing of this work. Compressibility factor was calculated with help of two equation of state - Van der Waals equation and Redlich-Kwong equation. Constants a and b of both equations were calculated using geometric average of the constants of pure substances. On the basis of calculated data charts showing the dependence of compressibility factor and the pressure were created. These charts were created for temperatures 20 °C and 40 °C. Statistical analyses of data were carried out. The results showed that compressibility factor reached value from 0.997 to 0.97 (20 °C) and from 0.997 to 0.974 (40 °C) in the case Van der Waals equation and in the range of pressure from 100 kPa to 1000 kPa. In the case of Redlich-Kwong equation these values were from 0.997 to 0.967 (20 °C) and from 0.997 to 0.974 (40 °C) in the same range of pressures.

Keywords: biogas, equation of state, Redlich-Kwong, Van der Waals

Prepublished online: April 30, 2017; Published: May 1, 2017  Show citation

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Trávníček, P., Vítěz, T., & Koutný, T. (2017). The Equation of State of Biogas. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis65(2), 537-543. doi: 10.11118/actaun201765020537
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References

  1. GRIGOR'EV, B., ALEXANDROV, I. and GERASIMOV, A. 2016. Generalized equation of state for the cyclic hydrocarbons over a temperature range from the triple point to 700 K with pressures up to 100 MPa. Fluid Phase Equlibria, 418: 15 - 36. DOI: 10.1016/j.fluid.2015.07.046 Go to original source...
  2. CHUEH, P. L. and PRAUSNITZ, J. M. 1967. Vapor-Liquid Equilibria at High Pressures. Vapor-Phase Fugacity Coefficients in Nonpolar and Quantum-GasMixtures. Industrial & Engineering Chemistry Fundamentals, 6(4): 492-498. DOI: 10.1021/i160024a003 Go to original source...
  3. JANECEK, J, PARICAUD, P., DICKO, M. and COQUELET, C. 2015. A generalized Kiselev crossover approach applied to Soave-Redlich-Kwong equation of state. Fluid Phase Equilibria, 401: 16-26. DOI: 10.1016/j.fluid.2015.04.024 Go to original source...
  4. KORSTEN, H. 1998. Critical Properties of Hydrocarbon Systems. Chemical Engineering and Technology, 21: 229 - 244. DOI: 10.1002/(SICI)1521-4125(199803)21:33.0.CO;2-P Go to original source...
  5. MOHAMMADI M. M., GHOBADIANA, B., NAJAFIA, G. and JANZADEH GALOGAH, R. 2013. Potential of biogas production in Iran. Renewable and Sustainable Energy Reviews, 28: 702 - 714. Go to original source...
  6. NOVÁK, J. P., MALIJEVSKÝ, A., ŠOBR, J. and MATOUŠ, J. 1972. Plyny a plynné směsi. Praha: Academia.
  7. NOVÁK, J. P., MALIJEVSKÝ, A., MATOUŠ, J., RŮŽIČKA, K. and VOŇKA, P. 2007. Termodynamické vlastnosti plynů. Praha: Vydavatelství VŠCHT.
  8. PAVELEK, M. 2003. Termomechanika. Brno: CERM.
  9. REDLICH, O. and KWONG, J. N. S. 1949. On the thermodynamics of solutions. v. an equation of state. fugacities of gaseous solutions. Chemical Reviews, 44(1): 233-244. DOI: 10.1021/cr60137a013 Go to original source...
  10. SOAVE, G. 1972. Equilibrium constants from a modified Redlich-Kwong equation of state. Chemical Engineering Science, 27: 1197-1203. DOI: 10.1016/0009-2509(72)80096-4 Go to original source...
  11. STRAKA, F. 2006. Bioplyn. Praha: GAS.
  12. VOHLÍDAL, J., JULÁK, A. and ŠTULÍK, K. 1999. Chemické a analytické tabulky. Praha: Grada Publishing.
  13. VITÁZEK, I. and HAVELKA, J. 2011. Porovnavanie vlastností klasických plynných palív a bioplynu. 10th conference on Power System Engineering, Thermodynamics & Fluid Flow - ES 2011. June 16-17, 2011, Pilsen, Czech Republic.

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