Abstract
The cubic equations of state (CEOS) are still much used in the chemical and petroleum industry for process modeling, simulation, and optimization. Calculating the compressibility factor/molar volumes from CEOS is an important and frequently invoked operation that involves analytical, numerical methods of solution of the cubic equation. A simple analytical method that is computationally inexpensive and provides solutions with high accuracy is proposed in the work. The method is first tested against other cubic solvers from the literature for its stability and accuracy. It is then applied to compute the roots of a CEOS in the low-temperature region. The results demonstrate the superiority of the method over other analytical, numerical solvers. The analysis of the different methods and their formulae can aid the selection of an appropriate method in process optimization.
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