For each of the following pairs of polymers, do ( the following: (1) State
whether it is possible to decide whether one polymer has a higher tensile
modulus than the other; (2) if this is possible, note which has the higher
tensile modulus and cite the reason(s) for your choice; and (3) if it is not
possible to decide, state why.
(a) Branched and atactic poly(vinyl chloride) with a weight-average molecular
weight of \(100,000 \mathrm{~g} / \mathrm{mol}\); linear and isotactic
poly(vinyl chloride) having a weight-average molecular weight of \(75,000
\mathrm{~g} / \mathrm{mol}\)
(b) Random styrene-butadiene copolymer with \(5 \%\) of possible sites
crosslinked; block styrene-butadiene copolymer with \(10 \%\) of possible sites
crosslinked
(c) Branched polyethylene with a number-average molecular weight of \(100,000
\mathrm{~g} / \mathrm{mol}\); atactic polypropylene with a number-average
molecular weight of \(150,000 \mathrm{~g} / \mathrm{mol}\)