This
paper proposes a method to determine the virial coefficients
of a substance from experimental density measurements. The method
consists of a technique to establish the proper number of terms in
the truncated series for a given set of data or to establish the proper
data range for a given truncated series. The new methodology when
applied to experimental (P-ρ-T) data for argon provides results comparable to those reported previously
in the literature using curve-fitting techniques or advanced graphical
analyses. The proposed method uses additional information from independent
measurements of molar mass to provide an objective criterion for selecting
the number of terms in the virial expansion and/or the required number
of experimental data to determine second and third virial coefficients
accurately. The method uses mass densities (as produced by magnetic
suspension densimeters, for example) and adjusts the fits of the data
until the proper molecular mass results. The paper provides analyses
of data from the literature and comparison to virial coefficients
provided in the literature.
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