Molecular weight data for a polymer is tabulated here.

(a) Compute the number-average molecular weight

(b) Compute the weight-average molecular weight

(c) If it is known that this material's degree of polymerization is 710, which one of the polymers listed in Table 4.3 is this polymer? Why?

(d) After you do the calculations, consider whether you would consider this material a high molecular weight polymer and why or why not.

(e) Give one property that tends to increase with increasing molecular weight.

Molecular Weight

Range g/mol xi wi

15,000–30,000 0.04 0.01
30,000–45,000 0.07 0.04
45,000–60,000 0.16 0.11
60,000–75,000 0.26 0.24
75,000–90,000 0.24 0.27
90,000–105,000 0.12 0.16
105,000–120,000 0.08 0.12
120,000–135,000 0.03 0.05