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In relation to this article, we declare that there is no conflict of interest.
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Received November 4, 2013
Accepted December 16, 2013
articles This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Supplementary graphical analysis for the multi-density expansion of associating fluids

Department of Chemical Engineering, University of Seoul, Siripdae-gil 13, Dongdaemun-gu, Seoul 130-743, Korea
changjaee@uos.ac.kr
Korean Journal of Chemical Engineering, March 2014, 31(3), 374-380(7), 10.1007/s11814-013-0283-5
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Abstract

We present a detailed analysis of Wertheim’s multi-density formulation for the thermodynamic properties of associating fluids with a single attraction site. Graphical expressions are explicitly illustrated for the partition function, multi-densities and direct correlation functions, and they are compared with those from the classical singledensity formulation of simple fluids. The steric incompatibility among three monomers greatly simplifies cluster integrals of associating fluids, which allows dimerizing association only. Graphical expressions for the pressure and the Helmholtz energy are derived by using functional derivatives, which provide a theoretical base for TPT and SAFT equations of state.

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