Adsorption and desorption in zeolite 5A and CMS beds were compared by using a ternary mixture (N₂/O₂/Ar; 78 : 21 : 1 vol%). Because the breakthrough curves for both beds show a tail by temperature variance, a nonisothermal mathematical model was applied to the simulation of adsorption dynamics. The LDF model with a constant rate parameter was enough to predict the experimental breakthrough and temperature curves of an equilibrium separation bed, while the modified LDF model with a concentration-dependent parameter should be applied to a kinetic separation bed. In the CMS bed initially saturated with He, Ar was the first breakthrough component with N₂ following after a short interval. Then, after a long interval, the breakthrough of O₂ occurred with a broad roll-up due to its fast diffusion rate and the relatively slow diffusion rate of N₂. In the CMS bed initially saturated with O₂, the breakthrough curves of O₂ and N₂ showed a very broad shape because of the slow diffusion of N₂ into CMS. In the zeolite 5A bed, the breakthrough time sequence was Ar, O₂, and N₂ at very close time intervals. After the sharp roll-ups of O₂ and Ar, the variation of the breakthrough curves was negligible. The inflection of the temperature profile in the zeolite 5A bed was caused by the crossover of the O₂ and N₂ MTZs, while in the CMS bed it was caused by the difference in the diffusion rates of O₂ and N₂.