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Consider the following distribution of polymer chains: 5 chains of degree of pol

ID: 786749 • Letter: C

Question

Consider the following distribution of polymer chains:

5 chains of degree of polymeriztion 10,

25 chains of degree of polymeriation 100;

50 chains of degree of polymeriation 500;

30 chains of degree of polymeriation 1000;

10 chains of degree of polymeriation 5000

5 chains of degree of polymeriation 50,000.

(a) Calculate the number and weight average degree of polymerization and polydispersity of this collection of polymer chains.

(b) If these chains were poly(methyl methacrylate) what would be the corresponding number and weight average molecular weights (ignore chain end effects)?

(c) Add five more chains of degree of polymerization 10 to the above distribution and recalculate the degrees of polymerization.  Comment on the effect that this change makes on the calculated number and weight average molecular weights.

Consider the following distribution of polymer chains: 5 chains of degree of polymeriztion 10, 25 chains of degree of polymeriation 100; 50 chains of degree of polymeriation 500; 30 chains of degree of polymeriation 1000; 10 chains of degree of polymeriation 5000 5 chains of degree of polymeriation 50,000. Calculate the number and weight average degree of polymerization and polydispersity of this collection of polymer chains. If these chains were poly(methyl methacrylate) what would be the corresponding number and weight average molecular weights (ignore chain end effects)?Add five more chains of degree of polymerization 10 to the above distribution and recalculate the degrees of polymerization. Comment on the effect that this change makes on the calculated number and weight average molecular weights.

Explanation / Answer

average degree of polymerization =(5(10)+25(100)+50(500)+30(1000)+10(5000)+5(50000))/125=50+2500+25000+30000+50000+250000=357550/125=

2860.4;