Modelling counter-current chromatography using a temperature dependence plate model

So far, research workers have built several math models of counter-current chromatography (CCC), such as cell model, eluting counter-current distribution model, continuous-stirred tank reactors model, and probability model. Based on plate theory and Van’t Hoff equation, a new temperature dependence plate model has been established in this paper. When temperature was taken into consideration, the error of retention time was significantly reduced. The relationship between temperature and partition coefficient K can be summarized into linear equations (log K = A − B/T), which can be introduced to the plate model where A and B are constant and T is the temperature in Kelvin. K values decreased with the increasing temperature. Since resolution values (R) are related to K values, the change of temperature finally leads to the change of resolutions between different compounds. K values at different temperatures of a certain compound in a given system were calculated according to the equation above. New program with a temperature parameter was applied in prediction of experimental results, which diminished the error in modelling prediction. Besides, it is difficult for the CCC work when two compounds have similar K values. However, separation can be achieved by changing temperature, which can be directed by this new model.