In this paper, experimental data available in the literature are used to test the Peng-Robinson (PR) equation of state for representing VLE of concentrated polymer solutions in conventional solvents. The most important issues of extending cubic EoS to polymers are the description of the pure component EoS parameters, a and b, for polymers and selection of mixing rules. To capture nonidealities, several existing mixing rules are adopted, namely, vdW1, vdW2, Wong-Sandler, and Zhong and Masuoka. The A E term in the Wong-Sandler mixing rule is evaluated by the Flory-Huggins model. Therefore, the experimental data are calculated by the PR equation of state incorporating different mixing rules, including the consideration of binary interaction parameters and liquid phase parameters. After determining the binary interaction parameter k ij , the Flory interaction parameter χ, and the number of solvent-size segments parameter r, using experimental vapor-liquid equilibria data, it was possible to obtain excellent correlations of the VLE data for these systems. The Wong-Sandler rule seems to give better results in representing the properties of polymeric solutions. This can be explained by the size difference between the polymer and the solvent, which means that one parameter is not sufficient to describe this disparity.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Price includes VAT (USA)
Tax calculation will be finalised during checkout.
Xiong, Y. and Kiran, E., Polymer, 1994, vol. 35, p. 4408.
Kontogeorgis, M.G., Fredenslund, A., Economou, I.G., and Tassios, D.P., AIChE J., 1994, vol. 40, p. 1711.
Kalospiros, N.S. and Tassios, D.P., Ind. Eng. Chem. Res., 1995, vol. 34, p. 2117.
Zhong, C. and Masuoka, H., Fluid Phase Equil., 1996, vol. 123, p. 59.
Bertucco, A. and Mio, C., Fluid Phase Equil., 1996, vol. 117, nos. 1/2, p. 18.
Orbey, N. and Sandler, S.I., AIChE J., 1994, vol. 40, p. 1203.
Rodgers, P.A., J. Appl. Polymer Sci., 1993, vol. 48, no. 6, p. 1061.
Zhong, C. and Masuoka, H., Fluid Phase Equil., 1998, vol. 144, nos. 1/2, p. 49.
Daubert, T.E. and Danner, R.P., Physical and Thermodynamic Properties of Pure Compounds: Data Compilation, New York: Hemisphere Publ., 1990.
Magoulas, K. and Tassios, D., Fluid Phase Equil., 1990, vol. 56, p. 119.
Mathias, P.M. and Copeman, T.W., Fluid Phase Equil., 1983, vol. 13, p. 91.
Rasmussen, P., Holten-Andersen, J., and Fredenslund, A., Ind. Eng. Chem. Res., 1987, vol. 26, p. 1382.
Wong, D.S. and Sandler, S.I., AIChE J., 1992, vol. 38, p. 671.
Bawn, C.E. and Wajid, M.A., Trans. Faraday Soc., 1956, vol. 52, p. 1658.
Eichinger, B.E. and Flory, P.J., Macromolecules, 1968, vol. 5, p. 1285.
Flory, P.J. and Hoecker, H., Trans. Faraday Soc., 1971, vol. 67, no. 8, p. 2258.
Booth, C. and Devoy, C.J., Polymer, 1971, vol. 12, no. 5, p. 311.
Wen, H., Elbro, H.S., and Alessi, P., Polymer Solution Data Collection Part I: Vapor-Liquid Equilibrium, DECHEMA Chem. Data Ser., Frankfurt: DECHEMA, 1991.
Bawn, C.E., Freeman, R.F., and Kamaliddin, A.R., Trans. Faraday Soc., 1950, vol. 46, p. 677.
About this article
Cite this article
Baniasadi, M., Baniasadi, M. & Ghader, S. Description of polymer solutions phase equilibria by cubic equation of state with different mixing rules. J. Engin. Thermophys. 20, 115–127 (2011). https://doi.org/10.1134/S1810232811010103
- Bubble Point Pressure
- Engineer THERMOPHYSICS
- Binary Interaction Parameter
- Engineering THERMOPHYSICS
- Concentrate Polymer Solution