Q1. At the lab bench, you just synthesized a brand-new biomaterial product. Upon further inspection, you notice that the product contains 69 different molecules within its chemical structure. The number of molecules and the associated degree of polymerization is given in the table below. The molecular weight of the polymer repeat unit is 50 Daltons/repeat unit. Ignore the presence of any initiator fragments within the polymerized product ( 20pts). a) Calculate the weight-average molecular weight (5 pts). b) Calculate the number-average molecular weight (5 pts). c) Calculate the polydispersity index (PI) of the polymer (5 pts). d) Would you hypothesize that this polymerization occurred due to a free radical polymerization, or an anionic/cationic polymerization process? Add support for your answer (5 pts)