Question 2 of 7: PVC–PE Copolymer, Plastic Processing Methods, and Chloroprene Rubber Crosslinking
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Notes on this paper
National Exam 04-BS-11, Properties of Materials — December 2018. 3 hours,
closed-book examination (approved Casio or Sharp calculator only). Notes on the paper state that
any five questions constitute a complete paper and only the first five questions appearing in the
answer book are marked, with all questions of equal value. All seven questions are solved below
for completeness.
Reference texts: Callister & Rethwisch, Materials Science and
Engineering: An Introduction, 9th ed. (crystal structure and density, polymers and
vulcanization, mechanical properties/tensile testing, phase transformations and heat treatment,
corrosion, ceramics and the Weibull distribution, diffusion).
Given. (a) A PVC–PE random copolymer, normally syndiotactic in its
vinyl-chloride segments. (b) Four finished articles: PE squeeze bottle, melamine dish, nylon
fishing line, fibreglass boat hull. (c) Rubber: $94\%$ by weight polymerized chloroprene
(repeat unit $\text{CH}_2\text{CCl}{=}\text{CHCH}_2$, i.e. C$_4$H$_5$Cl), $6\%$ by weight sulphur;
all sulphur reacts to form crosslinks.
Find. (a) Rationale for copolymerizing, expected crystallinity, and
thermoplastic/thermosetting behaviour. (b) The shaping process for each article. (c) The fraction
of chloroprene mer units that are crosslinked.
Approach
(a)–(b) are structure–property and processing-selection questions answered from
polymer-chemistry reasoning. (c) is a stoichiometric mass-balance: convert the given weight
fractions to moles of chloroprene mer and moles of sulphur on a 100 g basis, then use the
assumption that one sulphur atom bridges two chloroprene mer units per crosslink
(a mono-sulfidic bridge, the simplest crosslink consistent with "all the sulphur is utilized in
crosslinking" and no additional information on chain length per crosslink).
(a) Why copolymerize PVC with PE? Homopolymer PVC is normally atactic, glassy
at room temperature (T$_g\approx80^\circ$C), and inherently rigid/brittle without added
plasticizer; it also has poor melt flow and is thermally sensitive (dehydrochlorination/HCl release)
during processing. Copolymerizing with the flexible, non-polar ethylene mer lowers the effective
$T_g$, improves impact toughness and melt processability, and reduces raw-material cost —
without needing a large fraction of small-molecule plasticizer that can migrate out and embrittle
the part over time.
(a) Crystallinity of the syndiotactic copolymer. Tacticity is the datum the
question supplies, and it is the controlling one here: syndiotactic means the chlorine
substituents alternate regularly from side to side along the backbone, so the chains have the
stereochemical regularity that ordered packing into a crystal lattice requires. Commercial PVC
homopolymer is atactic (random substituent placement) and is therefore essentially amorphous; a
syndiotactic chain of the same chemistry crystallizes far more readily. So yes —
expect the copolymer to be crystalline, though only partially, with a low-to-moderate
degree of crystallinity rather than the high crystallinity of linear PE. Two things hold it down:
the bulky C–Cl side group hinders close chain packing, and the interspersed ethylene mers
break up the chemical-sequence regularity along the backbone (a semicrystalline copolymer
crystallizes only over its regular runs — sequence irregularity, if it were severe enough
or the copolymer fully random, would suppress crystallinity altogether regardless of tacticity).
The expected answer is therefore a semicrystalline (partially crystalline)
material, much more crystalline than atactic PVC but well short of PE.
(a) Thermoplastic or thermosetting? Copolymerization does not introduce any
covalent crosslinks between chains — the PVC–PE copolymer remains a linear/branched
chain held together only by secondary (van der Waals) interactions, so it softens and flows on
heating and can be melt-processed and reprocessed repeatedly: it is
thermoplastic.
(b) PE squeeze bottle — blow molding. A thermoplastic parison
(a short, thick-walled tube of molten PE) is extruded or injection-moulded, clamped inside a
two-piece hollow mould, then inflated with compressed air so it expands to take the shape of the
mould cavity and cools against the mould wall — the standard route for hollow thermoplastic
containers.
(b) Melamine dish — compression moulding. Melamine–formaldehyde is
a thermosetting resin. A measured charge of resin (often with a cellulose filler) is placed in an
open, heated mould cavity; the mould is closed under pressure, and heat plus pressure drive the
irreversible cross-linking (curing) reaction that locks the part into its final rigid shape. Once
cured it cannot be remelted — only the still-uncured charge can be shaped.
(b) Nylon fishing line — melt spinning and drawing. Molten nylon
(a thermoplastic polyamide) is extruded through the small round holes of a spinneret to form
continuous filaments, which are then cold-drawn (stretched well beyond the yield
point at a temperature below $T_m$) to align and straighten the polymer chains along the fibre
axis — this drawing step is what gives the fishing line its high tensile strength and
stiffness relative to the undrawn extrudate.
(b) Fibreglass boat hull — hand lay-up (open-mould contact moulding). A
thermosetting resin (typically unsaturated polyester, sometimes epoxy) is applied in alternating
layers with continuous or chopped glass-fibre reinforcement (mat or woven roving) over an
open, hull-shaped mould, rolled to remove air/wet out the fibres, and cured (cross-linked) at or
near room temperature. Hand lay-up (or the mechanized spray-up variant) suits large, complex,
low-to-moderate production volumes like boat hulls, where a closed-mould, high-pressure process
would be uneconomical.
(c) Moles of chloroprene mer and sulphur (100 g basis). Repeat-unit mass
$M_{\text{Cl}}=4(12.01)+5(1.0)+35.45=88.49$ g/mol. On a $100$ g basis
($94$ g chloroprene, $6$ g S; $M_S=32.06$ g/mol):
$$n_{\text{Cl}}=\frac{94}{88.49}\approx1.0623\ \text{mol},\qquad
n_S=\frac{6}{32.06}\approx0.1871\ \text{mol}$$
(c) Fraction crosslinked. With one sulphur atom bridging two chloroprene mer
units per crosslink, the number of mer units tied into a crosslink is $2n_S$:
$$f_{\text{crosslinked}}=\frac{2n_S}{n_{\text{Cl}}}=\frac{2(0.1871)}{1.0623}$$
$$\boxed{f_{\text{crosslinked}}\approx0.352\ \ (35.2\%\ \text{of the chloroprene mer units})}$$
Quantity
Result
(a) Copolymer nature
Semicrystalline (low–moderate crystallinity, from the syndiotactic regularity), thermoplastic
(b) Processing methods
Blow moulding; compression moulding; melt-spin & draw; hand lay-up