Appendix 1: Matrix Presentation of Cascade of Countercurrent Reactors of Mixing

It is a well-known fact that countercurrent interactions are preferable for the effective mass transfer between different phases to cocurrent technique. However, calculations of the efficiency of such interactions are fairly difficult. In the normal case, one assumes that the system of interactions comprises a cascade of some simple reactors of mixing, in which the interacting phases are mixed until getting to the local equilibrium. After that, the phases are separated and transported to other reactors, in which the procedure repeats some times.