Abstract

A global crossover equation of state that incorporates the classical van der Waals behavior (including the ideal-gas limit and the high-density hard-sphere limit) far away from the critical point and the singular behavior near the critical point has been developed. It is based on a transformation derived from the renormalization-group theory of critical fluctuations to the classical van der Waals equation of state. The crossover van der Waals equation contains only one non-universal system-dependent parameter associated with the range of intermolecular forces and it shows how the density fluctuations affect all thermodynamic properties more and more significantly when the fluid approaches the critical point. In particular, the critical compressibility factor which for the classical van der Waals equation is Z c=0.375, becomes suppressed to a more realistic value of 0.26–0.29 as is typical for simple fluids.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.