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It depends because sometimes (the majority) nothing is given off. When ethylene, propylene and other molecules with the general structure WXC=CYZ polymerize, they just add together and no molecule is given off.

In a condensation reaction e.g when a polyacid reacts with a polyol, a polyester is formed and water is the molecule given off. With certain types of Nylon production, if one monomer is hexamethylene diamine and the other is sebacoyl chloride, the molecule given off is hydrochloric acid. If caustic soda is present this will convert to salt and water.

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