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Modification of Cubic Equations of State for Polar Compounds

Hitanshu Sachania

Abstract


Abstract
Volumetric properties of substances are crucial thermodynamic parameters in that they aid
personnel to compute other thermodynamic parameters like internal energy, enthalpy,
entropy, etc. Moreover, these are required in the design of process equipment and in the
sizing of pipelines. In 1873 van der Waals proposed an equation to predict volumetric
properties of idealized gases. Hitherto, a plethora of such equations known as cubic
equations of state have been proposed. Yet, the ongoing endeavor to find one such equation
which can predict the volumetric properties of highly polar compounds persists. This report
encompasses the headway for the modification of conventional cubic equations of state so
far.
Keywords: cubic equation of state, intermolecular interaction, polar compounds, volume
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References


“Chapter 2: Volumetric Properties of Real Fluids,” [Online]. http://nptel.ac.in/courses/103101004/downloads/chapter-2.pdf. [Accessed on 23 August, 2014].

Valderrama J.O., The State of the Cubic Equations of State, Ind Eng Res. 2003; 1603–18p.

“Lennard-Jones Potential,” [Online]. http://chemwiki.ucdavis.edu/Physical_Chemistry/Quantum_Mechanics/Atomic_Theory/Intermolecular_Forces/Lennard-Jones_Potential. [Accessed August, 2014].

Ji W.R., Lempe D. A systematic study of cubic three-parameter equations of state for deriving a structurally optimized PVT relation, Fluid Phase Equilibria. 1998; 85–103p.

Van der Waals J.D. Over de Continuitet van den Gas- en Vloeistoftoestand, Doctoral Dissertation, Leiden, 1873.

Redlich O., Kwong J.N.S. Chem Rev. 1949; 44: 233–44p.

Soave G. Chem Eng Sci. 1972; 27: 1197–203p.

Peng D.Y., Robinson D.B. Ind Eng Chem Fundam. 1976; 15: 59–64p.

Fuller G.G. Ind Eng Chem Fundam. 1976; 15: 254–7p.

Usdin E., McAuliffe J.C. Chem Eng Sci. 1976; 31: 1077–84p.

Martin J.J. Ind Eng Chem Fundam. 1979; 18: 81–97p.

Heyen G. Phase Equilibria and Fluid Properties in Chemical Industry, Proc. 2nd. Int. Conf., Berlin, EFCE, DECHEMA, 1980, 9–13p.

Schmidt G., Wenzel H. Chem Eng Sci. 1980; 35: 1503–12p.

Harmens A., Knapp H. Ind Eng Chem Fundam. 1980; 19: 291–4p.

Patel N.C., Teja A.S. Chem Eng Sci. 1982; 37: 463–73p.

Yu J.M., Adachi Y., Lu B.C.-Y. In Chao K.C., Robinson R.L. (Eds.), Equations of State: Theories and Applications, ACS Symp. Ser. 300, Washington, DC: ACS; 1986, 537–59p.

Yu J.M., Lu B.C.-Y. Fluid Phase Equilib. 1987; 34: 1–19p.

Twu C.H., Coon J.E., Cunningham J.R. Fluid Phase Equilib. 1992; 75: 65–79p.

Peneloux A., Rauzy E., Freze R. Fluid Phase Equilib. 1982; 8: 7–23p.

Ji W.-R., Lempe D.A. Fluid Phase Equilib. 1997; 130: 49–63p.

Mathias P.M., Naheiri T., Oh E.M. Fluid Phase Equilib. 1989; 47: 77–87p.

Redlich O., Kwong J.N.S. On the Thermodynamics of Solutions. V. An Equation of State. Fugacities of Gaseous Solutions. Chem Rev. 1949; 44: 233.

Wilson G.M. A new expression for the excess free energy of mixing. J Am Chem Soc. 1964; 86: 127.

Barner H.E., Pigford R.L., Schreiner W.C. A Modified Redlich-Kwong Equation of State. In Proceedings of the 31st Midyear Meeting of the American Petroleum Institute. Division of Refining; American Petroleum Institute: Washington, DC, 1966; Paper No. 38.

Soave G. Equilibrium Constants from a Modified Redlich-Kwong Equation of State. Chem Eng Sci. 1972; 27: 1197.

Usdin E., McAuliffe J.C. A one-parameter family of equations of state. Chem Eng Sci. 1976; 31: 1077.

Soave G. Application of a cubic equation of state to vapor-liquid equilibria of systems containing polar compounds. Inst Chem Eng Symp Ser. 1979; 56: 1.2/1.

Heyen G. A Cubic Equation of State with Extended Range of Application. In Chemical Engineering

Thermodynamics by Newman, 175 1983.

Raimondi L. A modified Redlich-Kwong equation of state for vapor-liquid equilibrium calculations. Chem Eng Sci. 1980; 35: 1269.

Ishikawa T., Chung W.K., Lu B.C.Y. A cubic perturbed, hard sphere equation of state for thermodynamic properties and vapor-liquid equilibrium calculations. AIChE J. 1980; 26: 372.

Boston J.F., Mathias P.M. Phase Equilibria in a Third-Generation Process Simulator. Presented at the 2nd International Conference on Phase Equilibria and Fluid Properties in the Chemical Industry. Berlin, Germany, Mar 17–21, 1980.

Mathias P.M. A versatile phase equilibrium equation of state. Ind Eng Chem Process Des Dev. 1983; 22: 385.

Mathias P.M., Copeman T.W. Extension of the Peng-Robinson EoS to complex mixtures: evaluation of the various forms of the local composition concept. Fluid Phase Equilib. 1983; 13: 91.

Bazua E.R. Cubic Equation of State for Mixtures Containing Polar Compounds. In Chemical Engineering Thermodynamics by Newman, 175 1983.

Adachi Y., Lu B.C.Y. Simplest equation of state for vapor-liquid equilibrium calculation: a modification of the van der Waals equation. AIChE J. 1984; 30: 991.

Gibbons R.M., Laughton A.P. An equation of state for polar and nonpolar substances and mixtures. J Chem Soc, Faraday Trans. 1984; 2: 1019.

Kabadl V.N., Danner R.P. A modified Soave-Redlich-Kwong equation of state for water-hydrocarbon phase equilibria. Ind Eng Chem Process Des Dev. 1985; 24: 537.

Stryjek R., Vera J.H. PRSV: an improved Peng-Robinson equation of state for pure compounds and mixtures. Can J Chem Eng. 1986; 64: 323.

Adachi Y., Sugie H. A new mixing rule modified conventional mixing rule. Fluid Phase Equilib.1986; 28: 103.

Du Y., Guo T.M. The Prediction of Gas Hydrates Formation Condition. Systems Containing Polar Inhibitor Methanol. In Proceedings of the International Symposium on Thermodynamics in Chemical Engineering and Industry. Academic Periodical Press: Beijing, China, 1988; p486.

Twu C.H. A Modified Redlich-Kwong Equation of State for Highly Polar, Supercritical Systems. In Proceedings of the International Symposium on Thermodynamics in Chemical Engineering and Industry. Academic Periodical Press: Beijing, China, 1988; p148.

Melhem G.A., Saini R., Goodwin B.M. A modified Peng-Robinson equation of state. Fluid Phase Equilib. 1989; 47: 189.

Almeida G.S., Aznar M., Silva-Telles A. Uma Nova Forma da Dependeˆncia com a Temperatura do Termo Atrativo de Equacüo˜es de Estado Cu´ bicas. RBE, Rev Bras Eng, Cad Eng Quim. 1991; 8: 95.

Nasrifar Kh., Moshfeghian M. A new cubic equation of state for simple fluids: pure and mixture. Fluid Phase Equilib. 2001; 190: 73.

Lundstrøm C., Michelsen M.L., Kontogeorgis G.M., Pedersen K.S., Sørensen H. "Comparison of the SRK and CPA equations of state for physical properties of water and methanol," Fluid Phase Equil. 2006; 149–57p.

Yan W., Kontogeorgis G.M., Stenby E.H. Application of the CPA equation of state to reservoir fluids in presence of water and polar chemicals. Fluid Phase Equil. 2009; 75–85p.


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