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On the properties of equations of state at infinite pressure
Author(s) -
Brandani Stefano,
Brandani Vincenzo
Publication year - 2007
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.11114
Subject(s) - helmholtz free energy , compressibility , limit (mathematics) , residual , equation of state , helmholtz equation , mathematics , energy (signal processing) , state (computer science) , thermodynamics , mathematical analysis , physics , quantum mechanics , algorithm , boundary value problem
Using the exact solution valid for hard spheres in the proximity of infinite pressure, the correct limits for the compressibility (infinite), the residual Helmholtz energy (infinite), and the excess Helmholtz energy (finite) are derived. All the equations of state commonly used in chemical engineering applications fail to fulfil one of these limits, and are shown to be inconsistent in the limit of infinite pressure. © 2007 American Institute of Chemical Engineers AIChE J, 2007