JEE Advanced levelSingle correct optionDifficulty 3 of 3pl072
Equimolar hexamethylenediamine and adipic acid are polymerised until p=0.995 of the functional groups have reacted. Use Xn=1/(1−p) for the number-average number of monomer molecules per chain, and take the repeat unit of nylon 6,6 (one diamine residue plus one diacid residue) as 226 g/mol; neglect end groups. The number-average molar mass is
A22600gmol−1
B45200gmol−1
C11300gmol−1
D226gmol−1
Answer: A
Xn=1/0.005=200 monomer molecules per chain. Each repeat unit contains two monomer residues, so a chain has 100 repeat units, giving 100×226=22600. Using 200 repeat units would double-count.