Abstract: This paper introduces a mathematical model and advances an algorithm,that can be used for simu-lation of reactive distillation processes.This model takes into account the reactions in series,that occurwithin a distillation column and this algorithm is based upon the block tridiagonal matrix technique.In order to accomplish a computation of design and inspect whether or not different configuration of flowsbetween stages can increase the yields of intermediate products,a procedure for solving block tridiagonalmatrix equation with some off-tridiagonal submatrixes and/or submatrixes on the borders is modified.The saponification of propylene chlorophydrin is illustrated to verify the algorithm.It can be seen thatthe results are satisfactory.