4. In the condensation polymerization of stoichiometric dicarboxylic acid and diol catalyzed by externally added acids, what is the number averaged degree of polymerization when the reaction proceeds to 98% extent? How about 99%? Prove that the time needed to for the reaction to proceed from 0-98% is similar to that of 98-99%.

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Polymerization Kinetics

Polymerization is a chemical process in which one or more monomers combine to produce a very large chain-like molecule called a polymer. The functional groups present on the monomers and their steric effects are responsible for polymerization through a sequence of reactions that diverge in complexity. There exists a stable covalent chemical bond between monomers that sets apart polymerization from other processes. Polymerization is generally classified into step-growth and chain polymerization. Polymers are categorized into linear polymer and cross-linked polymers that are produced either by condensation or additional polymerization.