R7.1 Polymerization
R7.1 Polymerization
R7.1 Polymerization
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Anionic<br />
polymerization<br />
Relationship<br />
between the scaled<br />
time, , and real<br />
time t<br />
379<br />
R j<br />
I 0<br />
R j<br />
I 0<br />
R 3<br />
Knowing the initial monomer concentration,<br />
mer concentration at any time:<br />
R 5<br />
Figure <strong>R7.1</strong>-6 Live polymer concentration as a function of scaled time.<br />
θ 3<br />
We can also evaluate the scaled time �:<br />
θ 5<br />
θ<br />
R 7<br />
Fogler/Prenhall/F7 8<br />
Figure <strong>R7.1</strong>-7 Live polymer concentration as a function of chain length at<br />
different scaled times.<br />
Fogler/Prenhall/F7.9<br />
M0<br />
t<br />
M M0e I0 kpt �<br />
�<br />
� � k p M d t � M �<br />
0<br />
j<br />
0 k p<br />
M 0<br />
� k p I<br />
------------ e 0 kpt<br />
k I<br />
�<br />
� ( )<br />
� � M0 ------ 1 e<br />
I0 I0 kpt �<br />
�<br />
( � )<br />
p<br />
0<br />
0<br />
t<br />
�<br />
t<br />
0<br />
e<br />
θ 7<br />
Chap.<br />
, we can solve for the mono-<br />
I0<br />
kpt<br />
�<br />
d t<br />
(<strong>R7.1</strong>-47)<br />
(<strong>R7.1</strong>-48)