Gel polymerization, chemistry homework help

Science

In a certain chemical cross-linking reaction involving a monomer that can react at three sites, the degree of the reaction, f obeys the second order rate law.

df/dt=k(1-x)^2

Where the rate constant, k has the value 4 x 10-4 s-1. Use the Flory-Stockmayer to calculate.

a. the time at which the gel point is reached

b. the time after which three quarters of the monomers have been polymerized.

c. the time after which three-quarters of the monomers form part of the infinite network.

This question comes from Ch. 6 of this book.

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