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3.2.3 Dual Site Langmuir Model An extension of Langmuir is the “dual-site Langmuir (DSL)” model, which accounts for an additional adsorption site not present in the Langmuir model.23 With two adsorption “sites”, the DSL model has greater mathematical flexibility and can represent almost any pure component data. It represents zeolitic systems very well because the two sites capture the essence of the two types of interactions with the surface. One site represents the electrostatic interaction with exchangeable cations, while the other site represents the much smaller difference in the attraction of nitrogen and oxygen molecules to the zeolite structure due to dispersion forces. In essence, it is rationalized there is one site representing the electrostatic and induced electrostatic interactions with the exchangeable cations, and another site representing dispersion interactions with the zeolite structure. The DSL model for a pure component gas is expressed as: where and b are the saturation capacity and equilibrium constant respectively for the exchangeable ion sites while and d are the same parameters due to the dispersion interaction effect. It is assumed b is greater than d because exchangeable ions have higher affinity for adsorbate molecules than the neutral zeolite structure. If the saturation capacity of each gas molecule is assumed equal for each site, the DSL multicomponent model is represented as: 40PDF Image | LIMITS OF SMALL SCALE PRESSURE SWING ADSORPTION
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