banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Virial coefficients of model alkanes
Rent this article for


Image of FIG. 1.
FIG. 1.

Representative configurations from Mayer-sampling Monte Carlo simulations. On the bottom is shown a configuration from the calculation of for (butane), and on the top is a configuration from calculation of for . Molecules are colored differently only to make them more distinguishable in the figure.

Image of FIG. 2.
FIG. 2.

Virial coefficients computed in this study, excluding the contributions from molecular flexibility. Temperature is scaled by literature values (Ref. 7) (or best estimate) of the critical temperature for the model, and virial coefficients are scaled by the chain length as indicated, and are plotted on an arcsinh scale. Curves proceed in sequence from to the largest computed, as indicated on each plot. Confidence limits are smaller than the line thickness, except where shown.

Image of FIG. 3.
FIG. 3.

Compressibility factor, as a function of density, for butane at (a) 350 K and (b) 550 K, comparing the virial equation truncated at various orders as indicated to an accurate empirical correlation (Ref. 20).

Image of FIG. 4.
FIG. 4.

Schematic illustration of the behavior of the second-derivative critical criterion following temperature-density lines for which the spinodal condition is satisfied (zero first derivative).

Image of FIG. 5.
FIG. 5.

Critical properties as given by the VEOS to various orders as a function of -alkane carbon number. Results are compared to values obtained by Monte Carlo simulation applied to evaluate the critical points for the same model (Ref. 7) and to the experimental data for real alkanes (Ref. 19). Error bars are indicated only when larger than the symbol size. Lines join points as a guide to the eyes.

Image of FIG. 6.
FIG. 6.

Lines showing for four model alkanes approximate upper limits of applicability of the ideal-gas (IG) model and the virial equation to various orders . Dash-dotted lines: methane (Ref. 13); solid lines: ethane; dashed lines: butane; and dotted lines: octane. Thick black lines ending at the critical point are spinodals for from VEOS6 (right-most curve) and from VEOS4 (left-most curve). Temperatures and densities are reduced by critical values for the same model (Ref. 7).


Generic image for table
Table I.

Critical properties as given by for the model alkanes examined in this study.


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Virial coefficients of model alkanes