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| - About the Relation between the Empirical and the TheoreticallyBased Parts of van der Waals-like Equations of State
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| - It is demonstrated that empirical temperature functionalities for the cohesive parameter in vander Waals-like equations can be responsible for prediction of nonphysical results such as fictitiouscritical points of pure compounds, that can result in prediction of unrealistic phase behavior inthe entire thermodynamic phase space. Simple numerical tests for detecting this pitfall areproposed, and the roles played by the empirical and the theoretically based parts in semiempiricalengineering equations are investigated. In particular, it is demonstrated that improvement ofthe accuracy with which equations of state approximate the hard sphere virial coefficients makesthe theoretical part more self-sufficient for an accurate description of data. This significantlyreduces the contribution of the corresponding empirical part and has a positive effect on theoverall robustness and reliability of the model. In addition, an improved theoretical basecontributes to the ability of the model so simultaneously and accurately predict both liquid andvapor densities.
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