A NEW GENERALIZED ALPHA-FUNCTION FOR A CUBIC EQUATION OF STATE .1. PENG-ROBINSON EQUATION

A generalized temperature and acentric factor dependent function of th e attractive term, called the alpha function, of the Peng-Robinson cub ic equation of state (PR CEOS) is developed. The approach in this work allows the alpha function to become a linear function of the acentric factor at a constant reduced temperature, not a fourth or sixth order function as suggested by Soave and other researchers. The advantage o f a linear function in the acentric factor is obvious in the extrapola tion of the alpha function to heavy hydrocarbons, petroleum fractions, and gas condensates. The new generalized alpha function, when used wi th the PR CEOS, allows the accurate reproduction of the vapor pressure data from the triple point to the critical point for hydrocarbons. Th e new CEOS provides much more reliable and accurate vapor pressure pre dictions for light as well as heavy hydrocarbons than the original PR equation.