Part 3 · Chapter 31

Polymers

Giant molecules from small repeating units — how monomers link into the plastics, fibres and rubbers that shape the modern world

Fundamentals of Chemistry Prof. Mithun Mondal Reading time ≈ 50 min
i What you'll learn
  • What a polymer, a monomer and the degree of polymerisation are.
  • How polymers are classified by source, structure, molecular forces and mode of polymerisation.
  • The mechanism of addition (chain-growth) polymerisation and how it differs from condensation (step-growth).
  • A working directory of monomers and polymers — polythene, PVC, Teflon, nylon, Terylene, Bakelite, Buna-S and more.
  • Why natural rubber is improved by vulcanisation.
  • Number- and weight-average molecular mass, the PDI, and what makes a polymer biodegradable.
Section 31-1

What Is a Polymer?

A polymer (Greek poly = many, meros = parts) is a very large molecule built by joining many small repeating units. Each small unit is a monomer, and the reaction that links them is polymerisation. The number of monomer units in a single chain is the degree of polymerisation (\(n\)); for useful materials \(n\) runs from hundreds to many thousands.

The mass of the polymer is essentially \(n\) times the mass of the repeating unit. Because a sample contains chains of different lengths, a polymer has no single sharp molecular mass — only an average, a point we return to in Section 31-8.

n CH₂=CH₂ monomer (ethene) polymerise –(CH₂–CH₂)ₙ– repeating unit (polythene)
Monomer → repeating unit — the heart of every polymer
Section 31-2

Classifying Polymers

The same word "polymer" covers silk and Styrofoam, so chemists classify them along four independent axes. A given polymer carries a label on each axis at once.

BasisClassesExamples
Sourcenatural · semi-synthetic · syntheticstarch · cellulose acetate · nylon
Structurelinear · branched · cross-linkedHDPE · LDPE · Bakelite
Molecular forceselastomers · fibres · thermoplastics · thermosettingBuna-S · nylon · polythene · Bakelite
Mode of synthesisaddition (chain-growth) · condensation (step-growth)polythene · nylon-6,6
The molecular-force ladder. Intermolecular forces rise as you go elastomers → thermoplastics → fibres → thermosetting. Weak coils that snap back are elastomers (rubber); chains with strong hydrogen bonds that pack into threads are fibres (nylon, Terylene); chains that merely soften on heating are thermoplastics (polythene, PVC); and three-dimensional cross-linked networks that set permanently are thermosetting (Bakelite). Strength of attraction is the property.

Section 31-3

Addition Polymerisation

In addition (chain-growth) polymerisation, monomers containing a \(\ce{C=C}\) double bond add to one another with no loss of any atom. The repeating unit therefore has the same empirical formula as the monomer. Most run by a free-radical chain mechanism in three stages.

⛓️
Free-radical chain mechanism
initiation → propagation → termination

Initiation: a peroxide initiator breaks into radicals, \(\ce{R-O-O-R -> 2 RO^.}\), which add to a monomer. Propagation: the new radical adds to another monomer, again and again, growing the chain. Termination: two growing radicals combine (or disproportionate), ending growth. Ethene → polythene, vinyl chloride → PVC, styrene → polystyrene all follow this route.

HDPE vs LDPE — same monomer, different conditions. Ethene polymerised at high pressure with traces of oxygen gives branched low-density polythene (LDPE — flexible, used for squeeze bottles and films). With a Ziegler–Natta catalyst it gives linear, tightly packed high-density polythene (HDPE — rigid, used for buckets and pipes). Branching, not chemistry, sets the density.
Section 31-4

Condensation Polymerisation

In condensation (step-growth) polymerisation, monomers each bearing two reactive functional groups join with the loss of a small molecule — usually water. Two families dominate: polyamides (amide links, like the nylons) and polyesters (ester links, like Terylene).

H₂N–(CH₂)₆–NH₂ diamine + HOOC–(CH₂)₄–COOH diacid – H₂O (repeatedly) –[ NH–(CH₂)₆–NH–CO–(CH₂)₄–CO ]ₙ–  (nylon-6,6)
Condensation — a diamine + a diacid lose water to build nylon-6,6
The naming of nylons. The numbers count carbon atoms. Nylon-6,6 comes from a 6-carbon diamine (hexamethylenediamine) and a 6-carbon diacid (adipic acid). Nylon-6 comes from a single 6-carbon monomer, caprolactam, by ring-opening — one number because one monomer.
Section 31-5

Copolymers

A copolymer is built from two or more different monomers, in contrast to a homopolymer made from one. Mixing monomers lets chemists tune properties: Buna-S (styrene + butadiene) is a tougher synthetic rubber than either monomer alone would give, and Buna-N (acrylonitrile + butadiene) resists oils and solvents. Copolymerisation can proceed by either an addition or a condensation route.

Section 31-6

Monomer–Polymer Directory

This is the single most examinable table in the chapter. Learn each monomer, its polymer, the synthesis type, and one use. Read it as a map of "what makes what."

PolymerMonomer(s)TypeUse
Polytheneetheneadditionbags, bottles, pipes
Polypropenepropeneadditionropes, containers
PVCvinyl chlorideadditionpipes, raincoats, insulation
Teflon (PTFE)tetrafluoroetheneadditionnon-stick coatings, gaskets
Polystyrenestyreneadditionpackaging, cups, insulation
Orlon / Acrilan (PAN)acrylonitrileadditionsynthetic wool, fibres
Nylon-6,6hexamethylenediamine + adipic acidcondensationtextiles, ropes, tyre cord
Nylon-6caprolactamcondensationtyre cord, fabrics
Terylene / Dacron (PET)ethylene glycol + terephthalic acidcondensationfibres, bottles, film
Bakelitephenol + formaldehydecondensationswitches, handles, plugs
Buna-S (SBR)1,3-butadiene + styreneaddition (copolymer)tyres, soles
Buna-N1,3-butadiene + acrylonitrileaddition (copolymer)oil-resistant rubber, hoses
Neoprenechloropreneadditionconveyor belts, gaskets
A quick test for synthesis type. If the monomer has a \(\ce{C=C}\) double bond and nothing is lost, it is addition. If the monomers carry pairs of \(\ce{-OH}\), \(\ce{-COOH}\) or \(\ce{-NH2}\) groups and a small molecule (water) splits out, it is condensation. Double bond in → addition; functional groups + water out → condensation.
Section 31-7

Rubber & Vulcanisation

Natural rubber is cis-1,4-polyisoprene — a long, coiled addition polymer of isoprene (2-methyl-1,3-butadiene). The cis geometry keeps the chains from packing, giving the springy, elastic coil. Raw rubber is soft, sticky when warm and brittle when cold, so it is rarely used as found.

Vulcanisation cures these faults. Heating rubber with a few percent of sulphur forms sulphur cross-links between chains. These bridges stop the chains sliding past one another, making the rubber harder, stronger, more elastic over a wide temperature range, and no longer tacky.

S–S S–S polyisoprene chains sulphur cross-links lock the chains together
Vulcanisation — sulphur bridges turn soft rubber into a tough elastomer
The link back to structure. Cross-linking is the same idea that makes Bakelite a rigid thermoset. A few bridges give springy tyre rubber; many bridges give hard ebonite. The number of cross-links dials the material from elastic to rigid.
Section 31-8

Molecular Mass of Polymers

Because a polymer sample is a mixture of chains of different lengths, its molecular mass is an average, reported two ways.

AverageDefinitionWeighted by
Number average \( \overline{M}_n \)\( \dfrac{\sum N_i M_i}{\sum N_i} \)number of molecules
Weight average \( \overline{M}_w \)\( \dfrac{\sum N_i M_i^{2}}{\sum N_i M_i} \)mass of molecules
📏
Polydispersity index
\( \text{PDI} = \dfrac{\overline{M}_w}{\overline{M}_n} \ge 1 \)

The PDI measures how spread out the chain lengths are. A perfectly uniform polymer would have \( \overline{M}_w = \overline{M}_n \) and \( \text{PDI}=1 \); for real synthetic polymers \( \overline{M}_w > \overline{M}_n \), so \( \text{PDI}>1 \). Natural polymers tend toward 1; step-growth synthetics run higher.

Section 31-9

Biodegradable Polymers

Most synthetic polymers resist microbial attack and persist as waste. Biodegradable polymers are designed to break down in the environment, usually because their backbones contain ester or amide links that micro-organisms and water can hydrolyse.

PolymerBuilt fromNote
PHBV3-hydroxybutanoic + 3-hydroxypentanoic acida polyester; used in controlled drug release and packaging
Nylon-2-nylon-6glycine + amino­caproic acidbiodegradable polyamide
PGA / PLAglycolic / lactic aciddissolvable surgical sutures
Why the ester link matters. The same hydrolysable bond that builds a polyester is its undoing in the soil — water and enzymes cleave it back to small acids. Designing in the weak link is how chemists make a polymer that does its job and then disappears.
Worked Examples

Putting It to Work

1 Name the monomer

Problem. Identify the monomers of Teflon and of PVC.

Solution. Both are addition polymers of a substituted ethene:

Working
\[ \text{Teflon} \leftarrow \ce{CF2=CF2};\quad \text{PVC} \leftarrow \ce{CH2=CHCl} \]
2 Addition or condensation?

Problem. Classify polythene, nylon-6,6 and Terylene by mode of polymerisation.

Solution. A double bond means addition; loss of water means condensation:

Working
\[ \text{polythene → addition};\quad \text{nylon-6,6, Terylene → condensation} \]
3 Nylon-6,6 monomers

Problem. Which two monomers form nylon-6,6, and what small molecule is lost?

Solution. A 6-carbon diamine and a 6-carbon diacid, losing water:

Working
\[ \underbrace{\ce{H2N(CH2)6NH2}}_{\text{hexamethylenediamine}} + \underbrace{\ce{HOOC(CH2)4COOH}}_{\text{adipic acid}} \ \xrightarrow{-\,\ce{H2O}} \ \text{nylon-6,6} \]
4 Why vulcanise?

Problem. What does heating natural rubber with sulphur achieve, and how?

Solution. Sulphur forms cross-links between chains:

Working
\[ \text{S–S bridges} \Rightarrow \text{harder, stronger, more elastic, non-tacky rubber} \]
5 Number-average mass

Problem. A sample has 2 mol of chains of mass \(20{,}000\) and 3 mol of chains of mass \(30{,}000\). Find \( \overline{M}_n \).

Solution. Weight each mass by the number of molecules:

Working
\[ \overline{M}_n = \frac{2(20{,}000)+3(30{,}000)}{2+3} = \frac{130{,}000}{5} = \textbf{26{,}000} \]
6 Spot the copolymer

Problem. Which of polythene, Buna-S and PVC is a copolymer, and from what?

Solution. A copolymer needs two different monomers:

Working
\[ \textbf{Buna-S} = \text{1,3-butadiene} + \text{styrene} \]
Review

Chapter Summary

Polymers

Large molecules of many repeating monomer units; size set by the degree of polymerisation \(n\).

Classification

By source, structure, molecular forces (elastomer/fibre/thermoplastic/thermoset) and synthesis.

Addition

\(\ce{C=C}\) monomers, no atom lost; free-radical chain: initiation, propagation, termination.

Condensation

Difunctional monomers lose water; polyamides (nylon) and polyesters (Terylene).

Rubber

cis-polyisoprene; vulcanisation adds sulphur cross-links to toughen it.

Mass & environment

\( \overline{M}_n \), \( \overline{M}_w \), \( \text{PDI}\ge1 \); biodegradable polymers carry hydrolysable links.

Practice

Problems

For each item, first place the polymer on the four classification axes, then reason from structure to property. Difficulty rises down the list.

  1. Define polymer, monomer and degree of polymerisation with one example each.
  2. Classify polymers by molecular forces and give one example of each class.
  3. Distinguish addition from condensation polymerisation with an example of each.
  4. Outline the free-radical mechanism for the polymerisation of ethene.
  5. Name the monomers of PVC, Teflon, polystyrene and Orlon.
  6. Which two monomers form (a) nylon-6,6 and (b) Terylene? What is lost in each case?
  7. Why does nylon-6 have a single number while nylon-6,6 has two?
  8. What is a copolymer? Identify the monomers of Buna-S and Buna-N.
  9. Describe vulcanisation and explain how it improves natural rubber.
  10. Distinguish HDPE from LDPE in terms of structure and use.
  11. Define number- and weight-average molecular mass and the PDI. Why is PDI ≥ 1?
  12. What makes a polymer biodegradable? Name two biodegradable polymers.
Tip: read every polymer as structure dictating property. A \(\ce{C=C}\) double bond points to addition; paired functional groups losing water point to condensation; weak coils give elastomers and strong hydrogen bonds give fibres; cross-links convert a soft material into a rigid one; and a hydrolysable ester or amide link is what lets a polymer biodegrade. Ask "what do the bonds let this material do?" and the property follows from the chemistry.