Using a simple jump model of diffusion, Monte Carlo simulations are applied to determine the rate of tracer exchange and the effectiveness factor of chemical reactions in single-file systems. The influence of the characteristic parameters such as the file length, the jump rates, and the reaction rate are investigated, Particular consideration was dedicated to the temperature dependence of the output rate of the chemical reaction. The simulations are compared with the experimentally observed reaction behavior in zeolite L as described in the literature.