The vacancy solution model of adsorption which uses an activity coefficient equation of the Wilson form has been improved (1) by incorporating temperature dependency into the model, and (2) The vacancy solution model (VSM) of adsorption has been nurtured with one primary objective in mind: to facilitate the prediction of multicomponent adsorption equilibria from pure-component data. Because of the difficulty of obtaining gas-mixture adsorption data experimentally, a predictive scheme is needed. To be useful, the procedure must include a method of interpolating and extrapolating to different temperatures and pressures. If, on the other hand, binary adsorption data are available, it is important to use this information as effectively as possible when predicting multicomponent systems. Suwanayuen and Danner (1980a,b) presented a form of the VSM based on the Wilson activity coefficient equation, incorporating no temperature dependency and having two independent adsorbate-adsorbate interaction parameters. Cochran et al. (1985) introduced the Flory-Huggins activity coefficient into the VSM, incorporated temperature dependency, and reduced the number of binary interaction parameters. They were able to predict gas-mixture adsorption equilibria quite well for many systems using only pure-gas data. However, a number of systems involving zeolites led to less than satisfactory results. Furthermore, no significant improvements were attained by regressing a binary interaction parameter from the binary adsorption data.In an attempt to improve the predictions for zeolite systems, temperature dependence has been introduced into the Wilson form of the VSM and the number of binary regression parameters has been reduced. This modified Wilson form and the Flory-Huggins form of the VSM are examined in terms of their abilities to correlate or predict binary and ternary equilibria with and without parameters extracted from the binary data.
CONCLUSIONS AND SIGNIFICANCETemperature dependency has been introduced into the Wilson form of the vacancy solution model. This allows purecomponent isotherms to be predicted at temperatures where no data are available, and gas-mixture adsorption equilibria to be predicted within this expanded temperature range. A relationship between the two adsorbate-adsorbate binary interaction parameters has been developed. Thus the number of regression parameters that must be determined is decreased with no reduction in the accuracy of the method.When pure-component isotherms are available at a number of temperatures, the temperature-dependent model should be used in preference to the isothermal model. In this way the regressed parameters attain more reasonable values. If only pure-component data are available, the Flory-Huggins form of the vacancy solution model should be used to predict gasmixture adsorption equilibria. If binary data are also available, predictions of the binary equilibria using only the puregas data with the Flory-Huggins form should be compared to the data. If these predictions are accurat...