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Derive an expression for the rate of polymerization of stoichiometric amounts of adipic acid and hexamethylene diamine in the presence of a catalyst. Indicate the assumptions inherent in the derivation. Derive an expression for the rate of a catalyzed polymerization of nonstoichiometric amounts of the two reactants. Given the data in the table below, determine the reaction rate constant (value and units). (Data: Temperature: 59.72 C; Initial adipic acid concentration: 0.1531 kmol m; Initial hexamethylene diamine concentration: 0.02864 kmol m) t (ks) Fraction amine reacted 0 0 29.7 0.2863 40.5 0.3630 47.7 0.4099 55.8 0.4572 62.1 0.4890 72.9 0.5396 83.7 0.5795