The reaction of forsterite with hydrogen-its apparent and real temperature dependences

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We have studied experimentally the reaction rate between solid forsterite and hydrogen gas, one of the most fundamental reactions in the solar nebula. It was found that the rate-controlling gas species was atomic hydrogen rather than molecular hydrogen, from the linear dependence of the reaction rate on P_H. The temperature dependence of the reaction rate was determined both under constant P_<H2> and under constant P_H conditions. The former, "apparent" activation energy of the reaction was estimated to be 86.5±4.8 (2σ)kcal/mol. The latter, "real" activation energy was estimated to be 32.6±4.8 (2σ)kcal/mol. From this, a general formula that gives the true reaction rate of forsterite with hydrogen was obtained : log_<10>(J_F/g cm^<-2>s^<-1>)=-32.6(±4.8)×10^3/2.303 RT+log_<10>(P_H/atm)+4.00(±0.07).
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