Pulsed ESR has been used to measure rate constants for the addition of hydrogen atoms to benzene as a function of temperature in aqueous solution. At 298 K we obtain kH(aq) = (1.1 ± 0.1) · 109 M−1 s−1. The average Arrhenius activation energy, Ea = 19.1(6) kJ · mol−1, is essentially the same in solution as in the gas phase, but the frequency factor, represented by log(A/M−1 s−1) = 12.34(9), is 54 times higher than in the gas. This may be explained in terms of solvation of reactants and transition state, with most of the enhancement attributed to H atom solvation. In a 90% D2O/10% H2O mix, H atoms react at the same rate, but deuterium atoms react more slowly than H atoms by a factor of 1.4. The much smaller solvent enhancement previously demonstrated for the light muonium isotope is tentatively attributed to incomplete hydration of the transition state in that case.
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Roduner et al. (1992) studied this question.
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