Correlation analysis of heat transfer and hydrodynamic characteristics of an air-lift activated carbon slurry contactor with bubble agitation, which is applied to the separation of air pollutant, wastewater treatment, and biological processes, was investigated in order to find the operating conditions of the separation process with thermal control for the purpose of efficient air pollutant scrubbing. Heat transfer was characterized with the internal heating of fluidizing slurry of powdered activated carbons and analyzed with the hydrodynamic characteristics, which were analyzed with the residence time distribution of the system. All experiments were conducted with the conditions of varying concentration of adsorbents and gas inputs in the air-lift bubble column with external looping as a batchwise contactor. From the studies, the best operating condition of the air-lift bubble column for the adsorbing equipment could be suggested.