Abstract: The solutions of relative molecular mass distribution functions for free radical polymerizations are given in terms of implicit functions and by use of Monte Carlo method. After analyzing the properties of the integrals,the effective integration area for the solution equations is established,so the speed of calculation is increased. Theoretical data for the relative molecular mass distribution of styrene bulk polymerization have been obtained in good agreement with experimental results.

Key words: free radical polymerization, effective integration area, relative molecular mass distribution, Monte Carlo method, GPC