A 50 g sample of poly(amide6) [Nylon 6] produced by ideal step-growth polymerization\ of the monomer P is found to contain 3 \\\\times 10!" mol of-COOH end groups by nuclear\ magnetic resonance (NMR).\ a. Calculate the number-average molecular weight of this sample of Nylon 6.\ b. Calculate the extent of reaction ? of the step-growth polymerization.\ c. Assuming ideal step-growth polymerization statistics, calculate the weight-\ average molecular weight.