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The Virial Equation of State

Physics Bulletin, 1970
E A Mason and T H Spurling Oxford: Pergamon Press 1969 pp xi + 297 price £6 This is part of the International Encyclopedia of Physical Chemistry and Chemical Physics and is the second volume in the series The Fluid State edited by Prof J S Rowlinson. The treatment by the authors of the virial equation of state is appropriate to such a collection, being
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Exponential Virial Equation of State

The Journal of Chemical Physics, 1968
An equation of state is derived which has promise for the prediction of high-density fluid behavior. An approximate form of this new equation yields expressions for approximate virial coefficients of all orders as functions of lower-order exact virial coefficients.
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Virial Coefficients Using Different Equations of State

Journal of Chemical Education, 2000
Inexpensive desktop computers and powerful computer algebra software packages have made it possible for students and faculty to look at problems unthinkable a few years past because of the intensive algebra involved. One such problem is the derivation of expressions for the first three virial coefficients when using different equations of state.
Charles B. Wakefield, Constance Phillips
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WKB for coupled equations and virial coefficientsa)

The Journal of Chemical Physics, 1982
Using semiclassical expressions for eigenphase shifts and bound state energies arising from WKB approximations to the solutions of coupled equations, we show that quantum mechanical formulas for the third virial coefficient (restricted to positive potentials) and for the second virial cofficient (with anisotropic interactions) lead to the known ...
Sigurd Yves Larsen   +2 more
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Virial equation of state for rigid spherocylinders

Molecular Physics, 1978
Third, fourth and fifth virial coefficients are reported for isotropic systems of hard prolate spherocylinders with length to breadth ratios of up to 6:1. The results are compared with other recent data for such molecules and with the predictions of an analytical equation of state for convex hard molecules. The variation with shape of the fourth virial
Peter A. Monson, Maurice Rigby
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Simplified GERG Virial Equation for Field Use

SPE Production Engineering, 1991
Summary A GERG (Groupe Européen de Recherches Gazières) equation of state (EOS) is presented to calculate the compressibility factor of natural gases. The equation, which does not require detailed gas analysis, can predict the compressibility factor when three of the four following gas properties are known: the gross calorific value, the
Manfred Jaeschke   +7 more
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Virial-type thermal equation of gas—solid adsorption

Chemical Engineering Science, 1989
Abstract A thermal adsorption equation in a virial form is proposed in order to describe the pressure and temperature dependence of adsorption data. This equation permits the elaboration of a method for calculating the isosteric heat of adsorption and for studying its behavior over a wide range of temperatures and pressures.
Leszek Czepirski, Jacek JagieŁŁo
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Satellite Liquid Propellant Estimate Based on Virial Equation

Applied Mechanics and Materials, 2014
The remaining liquid propellant of an on orbit satellite is an important factor to evaluate satellite’s performances and the method is generally used to estimate the volume of the remaining liquid propellant. However, the method has some errors that influence the estimation. This paper takes Virial equation to ameliorate method.
Yu Fei Wang   +2 more
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Virial equation of state of hard hyperspheroids

The Journal of Chemical Physics
We provide equation-of-state data for hard, uniaxial hyperellipsoids of revolution (hyperspheroids) in the four-dimensional Euclidean space for various prolate and oblate aspect ratios using virial coefficients up to the eighth order. Using analytically known second virial coefficients from Brunn–Minkowski theory as a reference, higher-order virial ...
Markus Kulossa, Joachim Wagner
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The Bender Equation of State and Virial Coefficients

Collection of Czechoslovak Chemical Communications, 2000
The second and third virial coefficients calculated from the Bender equation of state (BEOS) are tested against experimental virial coefficient data. It is shown that the temperature dependences of the second and third virial coefficients as predicted by the BEOS are sufficiently accurate. We conclude that experimental second virial coefficients should
Anatol Malijevský, Tomáš Hujo
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