Question
In referring to the molecular mass of a polymer, we can speak only of the average molecular mass. Explain why the molecular mass of a polymer is not a unique quantity, as it is for a substance like benzene.
Step 1
Molecular mass refers to the mass of a molecule, which is the sum of the masses of all the atoms in the molecule. For a simple substance like benzene, the molecular mass is a unique quantity because there is only one type of molecule present. However, when it Show more…
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Molecular weight data for some polymer are tabulated here. Compute (a) the number average molecular weight, and (b) the weight-average molecular weight. (c) If it is known that this material's degree of polymerization is $477,$ which one of the polymers listed in Table 14.3 is this polymer? Why? $$\begin{array}{ccc} \hline \text {Molecular Weight} & & \\ \text {Range }(\mathrm{g} / \mathrm{mol}) & \boldsymbol{x}_{\boldsymbol{i}} & \boldsymbol{w}_{\boldsymbol{i}} \\ \hline 8,000-20,000 & 0.05 & 0.02 \\ 20,000-32,000 & 0.15 & 0.08 \\ 32,000-44,000 & 0.21 & 0.17 \\ 44,000-56,000 & 0.28 & 0.29 \\ 56,000-68,000 & 0.18 & 0.23 \\ 68,000-80,000 & 0.10 & 0.16 \\ 80,000-92,000 & 0.03 & 0.05 \\ \hline \end{array}$$
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