The Redlich-Kwong equation of state ( 2 3 ) is generally recognized as one of the best generalized two-parameter equations. Many attempts ( 1 , 8, 23, 24) have been made in the literature to improve its accuracy. In general, the acentric factor of Pitzer w has been used as a third parameter, in addition to the critical temperature and pressure of the original equation. In an earlier article ( 2 7 ) , a generalized pressure-explicit equation of state has been proposed for nonpolar gases in the T, & 1.0 region. In the development, the Redlich-Kwong equation of state was modified by means of a deviation function approach and Pitzer's tables ( 2 0 ) were used as a guide. The purpose of this investigation is to develop a suitable equation for the vapor and liquid regions using the same approach. It is expected that the resulting equation is applicable in the 0.56 < T, 1.0 region of Pitzer's tables, and is suitable for predicting the vapor and the liquid compressibility factors, enthalpy departures in the vapor phase, and vaporphase fugacities of nonpolar pure substances and mixtures.In addition, it satisfies 2, and the usual first two pressurevolume derivatives at the critical point.
DEVELOPMENT OF PROPOSED EQUATIONFollowing the approach developed in the previous article ( 2 7 ) , the critical isotherm of the original RedlichKwong equation of state was first linearly transformed to pass through the true critical point by the introduction of a constant c in the original equation. Hence The expression for the deviation function AP was chosen as follows:determination of the coefficients of the deviation f unction.
( 5 )Furthermore, three conditions were set at the critical point as follows:Following i..e suggestions of Redlich a m Kwong ( 2 2 ) , Beattie and Bridgeman ( 3 ) , and Martin and Hou ( 1 3 ) , the following expressions were considered in this investigation for choosing the temperature function f j ( T) :f j (T) = dj T + ej f j ( T ) = dj + ej T + gj T -2 f j ( 2') = dj + ej T + gj e-5.475 TI where dj, ej, and gj are constants for pure substances. For