A new Isotherm equation for pure gas adsorption is developed and tseted. In the new method, the adsorption equilibrium is treated as an osmotic equilibrium between two “vacancy” slutions having different compsoitions. One solutions represents the gas phase and the other the adsorbed phase. The vacancy solution is composed fo adsorbates and vacancies. the latter is an imaginary entity defined as the vacuum space which acts as the solvent for the system. Thermodynamic equations governignt he euilibrium of this system are used to derive the equation of state for the adsorbed phase. The non‐ideality of the adsorbed solution is accounted for in terms of an activity coefficent whose compsotion dependence is decribed by the Wilson equation. The equation of state, together the Gibbs adsorption equation, is then used in the derivaion of the adsorption isotherm equation. The developed correlation has been evalued with the adsorption isotherm data of O2, N2, and CO on zeolite 10X at 144.3 K, 172.0 K, 227.6 K and 273.2 K, and that of CH4, C2H2, C2H4, C2H6, C3H8, nC4H10, and CO2 on Nuxit‐AL activated carbon at 293.2 K, 313.2K, 333.2 K and 363.2 K. For both adsorbents, the correlations are better than those obtained by any other adsorption model which has been extended to gas mixtures. The parametes obtained from the pure component data can be use to predict a priori, gas‐mixture equilibria.
A new correlation that improves predictions of gas mixtrue adsorption equilibria from single‐component adsorption isotherm data is eveloped, based on the vacancy solution theory. In this theory, the adsorbed phase and the gas phase are treated as two cavancy solutions. The vacancy is an imaginary solvent occupying spaces that will be filled by adsorbates. The composition relationship between the two phases is derived from thermodynamic equilibrium criteria. The non‐ideality of the absorbed solution is accounted for by an acitivity coefficient, whose composition dependence is described by the Wilson equation. For an adsorption system, the binary parameters, adsorbate and vacancy, can be obtained from regression of the pure gas adsorptio data with the cavancy solution isotherm equation. These parameters are then used to predict multicomponent adsorption equilibirum, assuming hat the adsorbate‐adsorbate interactions are negligible. The new correlation has been tested on two different kinds of binary adsorption systems. The new method is more geneeral, simpler to apply, and more accurate than other available models. The predictions can be further improved by taking into account the assorbate‐adsorbate interactions.
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