Improved Two-Dimensional Equation of State to Predict Adsorption of Pure and Mixed Hydrocarbons

Abstract

SUBSCRIPTSA A , AB, BB d n C (0) W Y = system characteristic for in---.\ + CY (1x j terphase polycondensation, dimensionless. = terminal groups = continuous phase = dispersed phase = chain length = initial condition = molecular weight literature Cited A two-dimensional equation of state has been derived from the Hirschfelder-Eyring modification of the van der Waals equation and applied to the prediction of high pressure adsorption of pure and mixed hydrocarbons on charcoal. Equations are derived to express the thermodynamic equilibrium between a mixed adsorbate and gas, assuming the validity of the mobile fluid model for the surface phase. Solution of these equations permits the total adsorption and surface composition to be calculated for a mixed isotherm from pure component adsorption data. New experimental data are presented for high pressure adsorption of methane, propane, butane, and their mixtures on charcoal.

Sequestering Carbon Dioxide in Coalbeds

“…This information is summarized in 3 , due to compression effects close to the critical temperature [21], β CO2 turns out to be 0.47.) In a recent analysis, Wu et al [37] concluded that both the parachor and polarizability gives better β estimates than the molar volume, in agreement with Wood's findings [36]. It is interesting to note from Table 13, however, that the use of polarizability, but not the parachor, gives relative β values that are more consistent with the results shown in Figure 46; this is indeed what one would qualitatively expect if…”

“…A value of β CO2 can also be obtained from the very useful compilations and correlations provided by Wood [36]. This information is summarized in 3 , due to compression effects close to the critical temperature [21], β CO2 turns out to be 0.47.)…”

“…Specifically, half of the slit was subdivided into 50 intervals and Equation 36 was solved for each interval. The amount adsorbed was calculated by numerically integrating with Simpson's rule.…”

Modified van der Waals Equation for the Prediction of Multicomponent Isotherms

“…The first term on the right-hand side of Eq. [3] is the repulsive force term and the second the attractive force term. A negative value of m means that the attractive force increases while the repulsive force decreases relatively due to chemical reaction between CO and ion Cu(I).…”

“…In this work, the introduction of m in Eq. [3] can be regarded as a modification of the repulsive force term.…”