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Chapter 9: Reaction Mechanisms, Pathways, Bioreactions and Bioreactors
Example 9.4: Calculate Xn for Monomers with the Same End Groups

Initially we have 10 polymer molecules of ARA and 10 polymer
molecules of BR¢ B, for a total of 20 structural units (10 R and
10R¢ ), a total of 20 A functional groups and 20 B functional
groups. At time t there are seven polymer molecules and the
distribution of molecules at time t is shown in the table below.
Calculate the fractional conversion of functional groups, p, and the
number average chain length .
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Solution
MA0 = Number of functional groups of A initially = 20
MA = Number of functional groups of A remaining = 7
N0 = Number of polymer molecules initially.
N = Number of polymer molecules remaining at time t
or