A 21.3 gram sample of poly(hexamethylene adipamide) is found to contain 2.50 x 10-3 moles of carboxyl groups by both titration and infrared spectroscopy. Assume this polymer was made by batch reaction. (a) Sketch the reaction for making this polymer and give the common name of the polymer. (b) What is the significance behind the number of carboxyl groups associated with this polymer sample? (c) What is the number average molecular weight, Mn? (d) What is the number average degree of polymerization, DP,? (e) What is the weight average molecular weight, Mw? (f) Suppose you have another sample of this polymer that has Mn = 20,000 g/mol and Mw = 39,500 g/mol. How could you combine or mix the two samples to make a polymer with Mn = 15,000 g/mol? (g) What would be Mw of this mixed sample? = A 21.3 gram sample of poly(hexamethylene adipamide) is found to contain 2.50 x 10-3 moles of carboxyl groups by both titration and infrared spectroscopy. Assume this polymer was made by batch reaction. (a) Sketch the reaction for making this polymer and give the common name of the polymer. (b) What is the significance behind the number of carboxyl groups associated with this polymer sample? (c) What is the number average molecular weight, Mn? (d) What is the number average degree of polymerization, DP,? (e) What is the weight average molecular weight, Mw? (f) Suppose you have another sample of this polymer that has Mn = 20,000 g/mol and Mw = 39,500 g/mol. How could you combine or mix the two samples to make a polymer with Mn = 15,000 g/mol? (g) What would be Mw of this mixed sample? =