It is demonstrated that a single equation of state may be used to describe all three phases in liquid-liquid-vapor equilibrium situations. Wilson's version of the Redlich-Kwong equation is shown to predict accurately the water solubility in normal paraffins with interaction parameters k12 = 0.50. A simple procedure for three-phase flash computations is presented. Results obtained using this procedure for the system methane, n-butane, water exhibit many of the characteristics of the experimental data of McKetta and Katz (1948). In particular, the water content of the vapor phase and the liquid hydrocarbon phase are accurately predicted.
ROBERT A. HEIDEMANN
Deportment of Chemical EngineeringUniversity of Calgary Calgary, Alberta T2N 1 N4, Canada
SCOPEEquations of state, such as the Benedict-Webb-Rubin equation and the Redlich-Kwong equation, have been increasingly used to describe both phases in vapor-liquid equilibrium computations. In this paper it is shown that it is possible to perform three-phase liquid-liquid-vapor computations using the same equation of state to describe all three phases.Three-phase equilibria occur in the production and processing of natural gas and petroleum wherever significant amounts of water are present. At cryogenic temperatures and high pressures, systems such as methane, nheptane (Kohn, 1961) and nitrogen, propane (Schindler et al., 1966) have been reported to show liquid miscibility gaps.Although this paper is limited to water, normal paraffin examples and only Wilson's version of the Redlich-Kwong equation is considered, the general approach taken is applicable to other equations of state and to other kinds of mixtures. The ability of an equation of state to predict liquid immiscibility and quantitatively correct solubility data provides yet another criterion for evaluation.The computational problems in three-phase equilibria are not trivial. A new algorithm is proposed here for threephase flash calculations.
CON C 1 US IONS AN D SIGN I FICA NC EIt has been demonstrated that the liquid phase described by Wilson's version of the Redlich-Kwong equation can be unstable and can separate into two liquid phases of different compositions at equilibrium, depending on the values of the binary interaction parameters. A value of kI2 = 0.50 for normal paraffin, water pairs is found to predict the water solubility in the hydrocarbon liquid with reasonable accuracy. These results open the possibility of using a single equation of state to describe all three phases in liquid-liquid-vapor equilibrium computations.A new computation scheme for multiphase flash problems was presented. This scheme, which is based on free energy minimization, is reliable and easily programmed and may be extended to equilibrium computations with more than three phases present.Using the new computational scheme, it was possible to show that Wilson's version of the Redlich-Kwong equation predicts phase behavior in three-phase systems which exhibit many of the characteristics of experimental systems. In a detailed study o...