Are you trying to quench it while it is in the vapor phase (i.e. gas phase chemistry?) and what do you mean by quench? Do you want to make it unreactive to the reaction conditions (while still allowing the rest of the reaction to continue)? More info, please.
What are your experimental procedures (other reactants, solvents, reaction conditions?)
in general, though, what functionalities are present in ethyl acrylate? What reaction conditions do you know that will react with those functional groups?