A mixture of R(COOH)2 and R(OH)2 in the mole ratio of 1:1 was used for studying the kinetics of polyesterification. The mixture, having an R(COOH)2 concentration of 3.808 mol/kg, was initially polymerized under mild conditions to about 80% conversion of the carboxylic acid groups. The mixture was then further polymerized in the presence of an added strong acid catalyst at a sufficiently high temperature to facilitate the removal of the water of condensation by passing a stream of nitrogen gas. The polymerization in the second stage yielded the following data:
Time (min) [COOH] (mol/kg)
0 1.71
5 1.47
10 1.28
20 1.00
30 0.80
40 0.66
60 0.47
90 0.30
Determine the polyesterification rate constant for the monomer system.