Chapter 15: Problem 42
What is the distinction between dye and pigment colorants?
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Chapter 15: Problem 42
What is the distinction between dye and pigment colorants?
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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 \(150,000 \mathrm{~g} / \mathrm{mol}\)
Nylon 6,6 may be formed by means of a condensation polymerization reaction in which hexamethylene diamine \(\left[\mathrm{NH}_{2}-\left(\mathrm{CH}_{2}\right)_{6}-\mathrm{NH}_{2}\right]\) and adipic acid react with one another with the formation of water as a by- product. What masses of hexamethylene diamine and adipic acid are necessary to yield \(20 \mathrm{~kg}\) of completely linear nylon \(6,6 ?\) (Note: The chemical equation for this reaction is the answer to Concept Check 15.12.)
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 time-dependent and initial (i.e., time = 0 ) stresses, respectively, and \(t\) and \(\tau\) denote elapsed time and the relaxation time, respectively; \(\tau\) is a time-independent 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 \(0.5 ;\) 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 \(3.5 \mathrm{MPa}\) (500 psi), which dropped to \(0.5 \mathrm{MPa}\) (70 psi) after \(30 \mathrm{~s}\).
On the basis of the curves in Figure \(15.5\), sketch schematic strain-time plots for the following polystyrene materials at the specified temperatures: (a) Crystalline at \(70^{\circ} \mathrm{C}\) (b) Amorphous at \(180^{\circ} \mathrm{C}\) (c) Crosslinked at \(180^{\circ} \mathrm{C}\) (d) Amorphous at \(100^{\circ} \mathrm{C}\).
Cite four factors that determine what fabrication technique is used to form polymeric materials.
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