Based on Flory-Schulz distribution for step polymerization, where r=1, if the extent of reaction is p as defined in the teaching note, please prove that M = M. = M. (1+p) (1-P) List three initiators and three monomers for radical polymerization to build up polymers (including the reaction conditions). By the principle of Flory-Schulz principle and if the average probability of reactive functional group is 0.975, please calculate (a) Plot the probability function, P(x) as a function of degree of polymerization, X. (b) Plot the weighing function, w(x) for calculating Mw as a function of degree of polymerization, X. (c) Calculate Mn through integration and compared with the formula you learned in the class. (d) Calculate Mw through integration and compared with the formula you learned in the class. Also which Mw has the highest population in the weight fraction? Based on Flory-Schulz distribution for step polymerization, where r=1, if the extent of reaction is p as defined in the teaching note, please prove that M = M. = M. (1+p) (1-P) List three initiators and three monomers for radical polymerization to build up polymers (including the reaction conditions). By the principle of Flory-Schulz principle and if the average probability of reactive functional group is 0.975, please calculate (a) Plot the probability function, P(x) as a function of degree of polymerization, X. (b) Plot the weighing function, w(x) for calculating Mw as a function of degree of polymerization, X. (c) Calculate Mn through integration and compared with the formula you learned in the class. (d) Calculate Mw through integration and compared with the formula you learned in the class. Also which Mw has the highest population in the weight fraction