Density-and-temperature-dependent volume translation for the SRK EOS: 1. Pure fluids |
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Authors: | Kurt Frey Michael Modell Jefferson Tester |
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Institution: | Department of Chemical Engineering, Massachusetts Institute of Technology, Building 66, 25 Ames Street, Cambridge, MA 02139, USA |
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Abstract: | A mathematical framework for applying a density-and-temperature-dependent volume translation in a thermodynamically consistent manner was developed. Volumetric equations of state (EOS)s that incorporate this translation procedure can be used to generate derived properties, such as fugacity and enthalpy departure, that are based on isothermal departure or residuals from ideal gas state conditions. This kind of translation serves to improve the original EOS and not simply act as a correlation for molar volumes. A density-and-temperature-modified translation of this type was applied to the Soave–Redlich–Kwong EOS and was shown to possess accuracy for saturation pressure predictions equivalent to the untranslated EOS, as well as greatly improved density predictions compared to what is available when using only constant valued translation. The EOS translated in this manner retains many of the important features of the untranslated EOS, such as explicit calculation of volume roots, while having the representation capabilities of substantially more complicated models, such as the extended virial equation of Benedict, Webb, Rubin, and Starling. |
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Keywords: | BWRS Benedict&ndash Webb&ndash Rubin&ndash Starling EOS volumetric equation of state MT density-modified translation OT optimized constant translation PR Peng&ndash Robinson PR-DC Peng&ndash Robinson with Mathias&rsquo density correction PVT pressure volume and temperature SRK Soave&ndash Redlich&ndash Kwong UT untranslated |
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