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Styrene condenses with itself in a Diels-Alder reaction to form a dimer (Diels-Alder adduct)which acts as a free radical initiator. Polymerization proceeds by free radical initiation. The of formation of the diels-alder adduct and of polymer is temperature dependent.
The definitive work on styrene thermal polymerization can be found in an article by Albert Hui and Archie Himielec.
J. Applied Polymer Science, Vol. 16, 749-769, 1972. At 140 C styrene conversion is about 20% after 1 hour.
Inhibitors act to minimize polymerization under normal storage condition. As temperature increases free radical production increases and the inhibitor is overwhelmed.
Bill C