Aspects of the Statistical Thermodynamics of Real Fluids

Abstract

By extending the ideas previously applied to the statistical mechanical theory of hard sphere fluids of Reiss, Frisch, and Lebowitz, an approximate expression has been determined for the work of creating a spherical cavity in a real fluid. In turn the knowledge of this entity permits an evaluation of properties such as the surface tension and the normal heats of vaporization of fluids and the Henry's law constants of fluid mixtures. The agreement between the calculated and experimental properties is satisfactory.

Light scattering and sedimentation equilibrium of a concentrated multicomponent hard rod dispersion

“…These expressions were shown to be in full agreement with known results for monodisperse hard spheres [14], polydisperse hard spheres [ 191 and monodisperse HSC [15]. Here we present the derivation of the SPT results for HSC-mixtures along the traditional lines [15,16] and find that they are also in accordance with the general equations of Rosenfeld.…”

“…However, for the thermodynamic properties closed expressions can be obtained using the scaled particle theory (SPT), originally developed by Reiss et al [14] for spherical particles. Cotter [15] solved the SPT for a system of monodisperse hard spherocylinders (cylinders capped at both ends with hemispheres) whereas the polydisperse results were given by Cotter and Wacker [16].…”

Vapour Pressure of Liquid Metals and Alloys

“…This expression is essentially equivalent to those obtained by Minchin et al [5] and Reiss et al [17].…”

“…The total pressure P over a binary alloy is given by the following relation: Consequently, we could estimate the boiling point of a binary alloy from Equation (17). The boiling point of a binary alloy corresponds to the tem perature which satisfies the condition of P = 1 atm .…”

Phase behaviour of rod-like colloid+flexible polymer mixtures

“…In order to obtain a concrete result we use the scaled particle theory [66,[68][69][70] to calculate W' (see appendix for details). This leads to the following (approximate) result for the free-volume fraction: In these expressions 7 is the overall length-to-diameter ratio of the spherocylinders (eq.…”