Chapter 15: Problem 37
List two important characteristics for polymers that are to be used in fiber applications.
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Chapter 15: Problem 37
List two important characteristics for polymers that are to be used in fiber applications.
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For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to $$ \sigma(t)=\sigma(0) \exp \left(-\frac{t}{\tau}\right) $$ where \(\sigma(t)\) and \(\sigma(0)\) represent the timedependent and initial (i.e., time \(=0\) ) stresses, respectively, and \(t\) and \(\tau\) denote elapsed time and the relaxation time; \(\tau\) is a timeindependent constant characteristic of the material. A specimen of a viscoelastic polymer whose stress relaxation obeys Equation \(15.10\) was suddenly pulled in tension to a measured strain of \(0.6\); the stress necessary to maintain this constant strain was measured as a function of time. Determine \(E_{r}(10)\) for this material if the initial stress level was \(2.76\) MPa (400 psi), which dropped to \(1.72 \mathrm{MPa}\) (250 psi) after \(60 \mathrm{~s}\).
Normal butane and isobutane have boiling temperatures of \(-0.5\) and \(-12.3^{\circ} \mathrm{C}\) (31.1 and \(\left.9.9^{\circ} \mathrm{F}\right)\), respectively. Briefly explain this behavior on the basis of their molecular structures, as presented in Section 14.2.
Which of the following polyethylene thin films would have the better mechanical characteristics: (1) formed by blowing, or (2) formed by extrusion and then rolled? Why?
The tensile strength and number-average molecular weight for two polyethylene materials are as follows: \begin{tabular}{cc} \hline Tensile Strength (MPa) & Number-Average Molecular Weight \((\mathrm{g} / \mathbf{m o l})\) \\ \hline 85 & 12,700 \\ 150 & 28,500 \\ \hline \end{tabular} Estimate the number-average molecular weight that is required to give a tensile strength of \(195 \mathrm{MPa}\).
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 strength than the other; (2) if this is possible, note which has the higher tensile strength and then cite the reason(s) for your choice; and (3) if it is not possible to decide, then state why. (a) Syndiotactic polystyrene having a numberaverage molecular weight of \(600,000 \mathrm{~g} / \mathrm{mol}\); atactic polystyrene having a number-average molecular weight of \(500,000 \mathrm{~g} / \mathrm{mol}\) (b) Random acrylonitrile-butadiene copolymer with \(10 \%\) of possible sites crosslinked; block acrylonitrile-butadiene copolymer with \(5 \%\) of possible sites crosslinked (d) Network polyester; lightly branched polypropylene
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