The number-average degree of polymerization \(\left(\bar{X}_n\right)\) of self-catalyzed polyesterification, a 3rd order reaction, is expressed as

M0 : initial monomer concentration

1
\(\bar{X}_n^2=2[M]_0^2 k t+1\)
2
\(\bar{X}_n^2=2[M]_0 k t+1\)
3
\(\bar{X}_n^2=[M]_0 k t+1\)
4
\(\bar{X}_n^2=2[M]_0^2 k t\)

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