Concept:
- Condensation polymers form by step-growth polymerisation, where monomers join through repeated loss of a small molecule such as water, producing linkages like ester (-COO-) or amide (-CONH-) between units.
- Addition polymers form by chain-growth polymerisation of monomers containing a carbon-carbon double bond, with no small molecule lost, giving a simple long carbon chain backbone.
- Checking the type of linkage or the presence of a double-bond monomer in each option classifies all four choices at once.
Step 1: Classify Polyethylene.
Formed from ethylene ($CH_2=CH_2$) by addition polymerisation, backbone is plain $-CH_2-CH_2-$, no small molecule lost. Addition polymer.
Step 2: Classify PVC and Polystyrene.
PVC forms from vinyl chloride ($CH_2=CHCl$) and Polystyrene from styrene ($C_6H_5CH=CH_2$), both by addition polymerisation of a double-bond monomer. Both are addition polymers.
Step 3: Classify Nylon 6,6.
Formed from adipic acid and hexamethylenediamine, which join through amide linkages ($-CONH-$) with elimination of water at every step. This is step-growth polymerisation. Condensation polymer.
Final Answer: Nylon 6,6 is the condensation polymer.