The state of the art of cubic equations of state with temperature-dependent binary interaction coefficients: From correlation to prediction

Cubic equations of state (CEoSs) are extensively used in academia and industry for their consistency, reliability, even under extrapolation conditions, and capacity to predict phase-equilibrium and energetic properties with acceptable accuracy. The optimal parametrization of a pure-component CEoS, a prerequisite for the development of any CEoS for mixtures, is discussed first. The binary interaction parameter (BIP) involved in the Van der Waals mixing rules of CEoSs is introduced with special attention to the temperature-dependent functions used to express it. The following questions are addressed: what is the physical meaning of the BIP? How does this parameter reveal deviations from ideal mixtures? What are the connections between Van der Waals and advanced (EoS/gE) mixing rules? What are the best methods to correlate this parameter? How can we predict it? In conclusion, the limitations and performances of models involving Van der Waals mixing rules, including BIPs, are examined and compared to the CEoSs based on advanced mixing rules.

Automated summary

Cubic equations of state (CEoSs) are widely used due to their consistency, reliability, and ability to predict phase-equilibrium and energetic properties accurately. The optimal parametrization of pure-component CEoSs is discussed, as well as the binary interaction parameter (BIP) involved in the Van der Waals mixing rules. The physical meaning of BIP, its connection to deviations from ideal mixtures, and the best methods to correlate and predict it are also examined.