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R7.1 Polymerization

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Termination<br />

Initiation<br />

Propagation<br />

Transfer<br />

Termination<br />

363<br />

Termination.<br />

mechanisms:<br />

Chap.<br />

Termination to form dead polymer occurs primarily by two<br />

1. Addition (coupling) of two growing polymers:<br />

2. Termination by disproportionation:<br />

For example,<br />

R j<br />

The steps in free-radical polymerization reaction and the corresponding<br />

rate laws are summarized in Table <strong>R7.1</strong>-1. For the polymerization<br />

of styrene at 80�C<br />

initiated by 2,2-azobisisobutyronitrile, the<br />

rate constants4<br />

are<br />

k0<br />

� 1.4 � 10�3<br />

s�1<br />

R j<br />

kp<br />

� 4.4 � 102<br />

dm3/mol�s<br />

ks<br />

� 2.9 � 10�3<br />

dm3/mol�s<br />

� Rk ⎯⎯→ P j<br />

km<br />

� 3.2 � 10�2<br />

dm 3/mol�s<br />

kta<br />

� 1.2 � 108<br />

dm3/mol�s<br />

ktd<br />

� 0<br />

Typical initial concentrations for the solution polymerization of styrene are<br />

0.01 M for the initiator, 3 M for the monomer, and 7 M for the solvent.<br />

<strong>R7.1</strong>.2.2 Developing the Rate Laws for the Net Rate<br />

of Reaction<br />

We begin by considering the rate of formation of the initiator radical I.<br />

Because there will always be scavenging or recombining of the primary radicals,<br />

only a certain fraction f will be successful in initiating polymer chains.<br />

Because each reaction step is assumed to be elementary, the rate law for the<br />

formation of the initiator free radicals, r If, is<br />

�k<br />

4 D. C. Timm and J. W. Rachow, ACS Symp. Ser. 133, 122 (1974).<br />

k<br />

td<br />

k<br />

ta<br />

�Rk ⎯⎯→ P j�<br />

H H<br />

( CH3) 2CCH ( 2CHCl)<br />

j CH2C � C�CH2( CH2CHCl) k ( CH3) 2C CN Cl Cl CN<br />

H<br />

H<br />

(CH 3) 2C(CH 2CHCl) j CH � C�CH(CH 2CHCl) k(CH 3) 2 C<br />

P<br />

k<br />

CN Cl Cl<br />

CN

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