Adsorption energy distribution model for VOCs onto activated carbons

An adsorption isotherm model was proposed for two types of volatile organic compounds (VOCs) on a heterogeneous carbon surface. The Langmuir isotherm was used as a local isotherm for describing heterogeneous surfaces to obtain the adsorption energy distribution. The adsorption temperature studied ranged from 30 to 50 degrees C, and the pressure of VOCs varied from 0 to 0.35 atm. The present model differed from previous studies in assuming that the pre-exponential factor was not to be a constant. The pre-exponential factors were determined directly from the experimental data, and the result empirically showed that the pre-exponential factor was correlated with the adsorption energy by a simple exponential function. We found that both adsorption energy distributions of two VOCs were essentially step functions over the restricted pressure range, indicating adsorbates on the carbon surface with its own uniform distribution. By incorporation of the energy distribution and the relationship between the pre-exponential factor and the adsorption energy, the adsorption isotherms for the two VOCs on the carbons can be well predicted.