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The Miller function, a sensitivity test for equations of state and theoretical vapor pressure data

Authors
Journal
The Journal of Chemical Thermodynamics
0021-9614
Publisher
Elsevier
Volume
58
Identifiers
DOI: 10.1016/j.jct.2012.10.019
Keywords
  • Vapor Pressure Curve
  • Saturation Properties
  • The Miller Function
  • Critical Behavior
Disciplines
  • Physics

Abstract

Abstract For non-quantum fluids, the Miller function, h(T)=Tln(p/pc)/(T-Tc), with Tc and pc the temperature and pressure at the critical point, presents a minimum in the liquid-vapor coexistence curve. By analyzing values from a NIST program for 105 fluids, we find that the temperature, TM, of this minimum is closely correlated with the normal boiling temperature, Tb, and with the critical temperature of the fluid. We also demonstrate that the value of the minimum, hM=h(TM), is well correlated with the acentric factor. We show that the Miller function can be used as a powerful tool for checking vapor pressure values obtained from equations of state or from vapor pressure equations, especially near the critical point.

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