Arrhenius parameters have been determined for the NO2 catalyzed geometric isomerization of the 2-butenes and the 2-pentenes. For cis-2-butene, trans-2-butene, cis-2-pentene, and trans-2-pentene respectively E, kcal mol-' = 11.8, 12.2, 11.2, and 12.5 and log A , 1. mol-' sec-l = 7. 86, 7.65, 7.49, and 7.72 over the temperature ranges 298-366, 297-370, 298-381, and 298-382°K. Combination of these results with the results of thermochemical calculations permits calculation of 298 O K rate constants for NO? addition to the double bond of ten simple olefins. These rate constants suggest that this reaction is unimportant in the bulk consumption of atmospheric olefin pollutants.reviously we reported that NO2 catalyzes the thermal P geometric isomerization of the 2-butenes and the 2-pentenes. * By analogy to previous studies of radical catalyzed geometric olefin isomerizations, we suggested that the isomerization proceeded by NO, addition to the olefin double bond to form a nitroalkyl radical, followed by bond rotation and loss of NOz to form the isomeric olefin.,& We also noted that in a polluted urban atmosphere capture of the intermediate nitroalkyl radical by molecular oxygen would constitute a thermal pathway for the atmospheric oxidation of olefin pollutants which, if fast enough, could be of considerable significance for the formation of smog. In this paper we described the results of detailed studies of the kinetics of geometric isomerization of the 2-butenes and the 2-pentenes and the use of these results to estimate the importance for the consumption of atmospheric olefin pollutants of processes initiated by NOz addition to an olefin double bond.
Experimental Sectionstudy have been described in two previous papers.?
ResultsThe equations used to develop the experimental data were identical for all four olefins. They will be described only as they apply to cis-olefin. Exchanging the symbols C and T will yield the corresponding equations for trans-olefin.For the reaction The chemicals, apparatus, and analytical methods used in this NO?cis-olefin ---f trans-olefin (1) the initial rate of isomerization at low conversion may be writtenzawhere kcis is the experimentally determined rate constant, T and C denote trans-and cis-olefin and the zero (1) . Chem. Soc., 87,468 (1965). subscripts denote initial concentrations. sion may also be written This expres-[Tlt/[Cl~ = kcis[N0210t (3) Since [T],/[C], = (1 + [C],/[T],)-' by measuring [C],/[TI, as a function of time (t), the observed rate constant, kcis, can be determined easily and precisely. All experiments were run to conversions of less than 5 % . As expected for such low conversions, the observed dependence of [C],/[T], on t was always linear. Figure 1 illustrates the precision of the linearity routinely obtained. Nevertheless, this apparent linearity must mask the perturbing effects of some reverse isomerization.Normal kinetic treatment of the following reaction scheme kcm k t m s cis-olefin + NOz NO2 + rrarzs-olefin (4) Iterative use of yields eq 5, where KTC = ktrans...