Equation of state for pure fluids at critical temperature

doi:10.1088/1674-1056/21/4/045102

Abstract In this paper, we employ the concept of probability for creating a cavity with diameter d in fluid along with the perturbation and variation approach, and develop an equation of state (EOS) for a hard sphere (HS) and Lennard-Jones (LJ) fluids. A suitable axiomatic form for surface tension S(r) is assumed for the pure fluid, with r as a variable. The function S(r) has an arbitrary parameter m. S(r)=A+B(d/r)/[1+m(d/r)]. We use the condition in terms of radial distribution function G($\lambda$d, η) containing the self-consistent parameter $\lambda$ and the condition of continuity at r=d/2 to determine A and B. A different EOS can be obtained with a suitable choice of m and the EOS has a lower root-mean-square deviation than that of Barker-Henderson BH2 for LJ fluids.

Keywords: equation of state Lenard-Jones potential hard-sphere potential liquid mixture

Received: 12 August 2011
Revised: 12 August 2011
Accepted manuscript online:

PACS:	51.30.+i	(Thermodynamic properties, equations of state)
	05.70.Ce	(Thermodynamic functions and equations of state)

Corresponding Authors: S. B. Khasare,shailendrakhasare@yahoo.co.in
E-mail: shailendrakhasare@yahoo.co.in

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S. B. Khasare Equation of state for pure fluids at critical temperature 2012 Chin. Phys. B 21 045102

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