On the information and methods for calculation of Sanchez-Lacombe and group-contribution lattice-fluid equations of state

Chengyong Wang; Zhigang Lei

Korean Journal of Chemical Engineering, Vol.23, No.1, 102-107, January, 2006

Chengyong Wang^{1, 2, †}, and Zhigang Lei^{1, 2}

¹Mathematics Research Group, School of Science, Beijing Jiaotong University, Beijing, 100044, China
²State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Box35, Beijing, 100029, China

E-mail:

The algorithms for calculation of densities from Sanchez-Lacombe (S-L) and group-contribution latticefluid (GCLF) equations of state have been put forward, respectively. From the S-L equation of state the relationship between the equation characteristic parameters and critical properties was deduced, and the influence of molecular weight of the polymers on critical properties was investigated. However, for the GCLF equation of state, it was surprising to find that there as many as four roots were found at a saturation temperature and pressure for gases, while still two roots above the critical temperature. For polymers, only two roots could be found. So the formerly accepted consistency between the magnitude of the density and vapor or liquid phase is not applicable yet. A way about how to identify the root and corresponding phase was suggested.

Keywords:Sanchez-Lacombe (S-L) Equation of State;Group-contribution Lattice-fluid (GCLF) Equations of State;Calculation;Polymers;Algorithm

[References]

Byun HS, Choi MY, Korean J. Chem. Eng., 21(4), 874 (2004)
Deiters UK, AIChE J., 48(4), 882 (2002)
Garg A, Gulari E, Manke CW, Macromolecules, 27(20), 5643 (1994)
High MS, Danner RP, AIChE J., 36, 1625 (1990)
Lee BC, Danner RP, AIChE J., 42(3), 837 (1996)
Lee CS, Kang JW, Korean J. Chem. Eng., 22(3), 474 (2005)
Ko MS, Na S, Cho J, Kim H, Korean J. Chem. Eng., 19(6), 996 (2002)
Lei Z, Li C, Chen B, Korean J. Chem. Eng., 20(6), 1077 (2003)
Lei ZG, Li CY, Chen BH, Sep. Purif. Rev., 32, 121 (2003)
Lei ZG, Chen BH, Ding ZW, Special distillation processes, Elsevier, Amsterdam, 1 (2005)
Li JW, Lei ZG, Ding ZW, Li CY, Chen BH, Sep. Purif. Rev., 34, 87 (2005)
Peng CJ, Liu HL, Hu Y, Chem. Eng. Sci., 56(24), 6967 (2001)
Poling BE, Prausnitz JM, O'connell JP, The properties of gases and liquids, 6th Edition, McGraw-Hill, New York (2001)
Sanchez IC, Lacombe RH, J. Phys. Chem., 80, 2352 (1976)
Sanchez IC, Lacombe RH, Macromolecules, 11, 1145 (1978)
Serbanovic SP, Grguric IR, Kijevcanin MLJ, Tasic AZ, Djordjevic BD, Korean J. Chem. Eng., 21(4), 858 (2004)

[1] Byun HS, Choi MY, Korean J. Chem. Eng., 21(4), 874 (2004)

[2] Deiters UK, AIChE J., 48(4), 882 (2002)

[3] Garg A, Gulari E, Manke CW, Macromolecules, 27(20), 5643 (1994)

[4] High MS, Danner RP, AIChE J., 36, 1625 (1990)

[5] Lee BC, Danner RP, AIChE J., 42(3), 837 (1996)

[6] Lee CS, Kang JW, Korean J. Chem. Eng., 22(3), 474 (2005)

[7] Ko MS, Na S, Cho J, Kim H, Korean J. Chem. Eng., 19(6), 996 (2002)

[8] Lei Z, Li C, Chen B, Korean J. Chem. Eng., 20(6), 1077 (2003)

[9] Lei ZG, Li CY, Chen BH, Sep. Purif. Rev., 32, 121 (2003)

[10] Lei ZG, Chen BH, Ding ZW, Special distillation processes, Elsevier, Amsterdam, 1 (2005)

[11] Li JW, Lei ZG, Ding ZW, Li CY, Chen BH, Sep. Purif. Rev., 34, 87 (2005)

[12] Peng CJ, Liu HL, Hu Y, Chem. Eng. Sci., 56(24), 6967 (2001)

[13] Poling BE, Prausnitz JM, O'connell JP, The properties of gases and liquids, 6th Edition, McGraw-Hill, New York (2001)

[14] Sanchez IC, Lacombe RH, J. Phys. Chem., 80, 2352 (1976)

[15] Sanchez IC, Lacombe RH, Macromolecules, 11, 1145 (1978)

[16] Serbanovic SP, Grguric IR, Kijevcanin MLJ, Tasic AZ, Djordjevic BD, Korean J. Chem. Eng., 21(4), 858 (2004)