Article,

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

, , and .
The Journal of Chemical Thermodynamics, 58 (0): 263 - 268 (2013)
DOI: 10.1016/j.jct.2012.10.019

Abstract

For non-quantum fluids, the Miller function, h ( T ) = T ln ( p / p c ) / ( T - T c ) , with T c and p c 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, T M , of this minimum is closely correlated with the normal boiling temperature, T b , and with the critical temperature of the fluid. We also demonstrate that the value of the minimum, h M = h ( T M ) , 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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