STUDY OF THE KINETICS AND EQUILIBRIUM OF THE BENZYL-RADICAL ASSOCIATION REACTION WITH MOLECULAR-OXYGEN

The forward rate constant, k(1) and the equilibrium constant, K-p, for the association reaction of the benzyl radical with oxygen have been determined. The rate constant k(1) was measured as a function of tempe rature (between 298 and 398 K) and pressure (at 20 and 760 torr of N-2 by two different technique, argon-lamp flash photolysis and excimer-l aser flash photolysis, both of which employed UV absorption spectrosco py (at 253 nm and 305 nm, respectively) to monitor the benzyl radical concentration. Over the range of conditions studied, we find that the reaction is independent of pressure and is almost independent of tempe rature, which is in accord with two early studies of the reaction but in apparent disagreement with more recent work. For our results in 760 torr of N-2 and for 298 < T/K < 398, a linear least-squares fitting o f the data yield the expression: k(1) = (7.6 +/- 2.4) x 10(-13) exp[(1 90 +/- 160)K/T] cm(3) molecule(-1) s(-1.) With the flash-photolysis te chnique, we determined K-p over the temperature range 398-525 K. Exper imental values were analyzed alone and combined with theoretically det ermined entropy values of the benzyl and benzylperoxy radicals to dete rmine the enthalpy of reaction: Delta H(298)degrees = (-91.4 +/- 4) kJ mol(-1). Previous work on the benzyl radical enthalpy of formation al lows s to calculate Delta H(f298)degrees (Benzylperoxy) = (117 +/- 6) kJ mol(-1). In addition, we carried out an RRKM calculation of k(1) us ing as constraints the thermodynamic information gained by the study o f K-p. We find that all the studies of the association reaction are in good agreement once a fall-off effect is taken into account for the m ost recent work conducted at pressures near 1 torr of helium. (C) 1994 John Wiley & Sons, Inc.