Adsorption phenomena in such fields as purification and separation of gases, recovery of industrial solvents and respiratory protection is concerned with mixtures. Understanding the adsorption kinetics of mixtures of organic vapours on activated carbon beds is the key step in evaluating the service life of a filter. The adsorption kinetics and the shapes of the breakthrough curves can be divided into two different situations. One is where no displacement between the components takes place, and where the components usually have similar adsorb abilities. In this case the Wheeler-Dubinin model can be used to predict the breakthrough curves of the components from the adsorption isotherms of the pure components. The other situation is that displacement exists while one components in the mixture is more strongly adsorbed than the other. The mathematical method to predict the breakthrough curves for this case has been developed by Nader Vadhat et al. It is described in this report. There are, however, some limitations to this method. There is still a lot of work to be done in order to improve the predictive power of the model as well as to develop a semi-empirical model which takes the humidity into consideration.