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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)

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