Say I have coal that I will combust with $\ce{O2}$ at a high temperature of $\pu{1600-1800 K}$, what are the reaction rate constants, or coefficients, of the main reactions?

I have searched around literature, but it seems the constant increases exponentially depending on the temperature. However, I cannot find any research on some experimentally found rate constant at a temperature above 500 kelvin.

  • $\begingroup$ And you found some for lower temperatures? $\endgroup$
    – Mithoron
    Jun 13, 2022 at 15:11
  • 3
    $\begingroup$ Heterogenous reaction rates are very, very tricky. Surface geometry and matter transport is not something I would want to theoretically analyze. $\endgroup$
    – Poutnik
    Jun 13, 2022 at 15:17
  • $\begingroup$ @Mithoron Yes, see: Liu et. al., 2022: Oxidation reaction constants for coal spontaneous combustion under inert gas environments: An experimental investigation $\endgroup$
    – user313866
    Jun 13, 2022 at 15:25
  • $\begingroup$ @Poutnik Why is that so? I want to model the dynamics of the reactions in a differential equation, and therefore I need rate constants for the dynamics of concentrations. Would you otherwise know some simplification or assumption for this? $\endgroup$
    – user313866
    Jun 13, 2022 at 15:26
  • $\begingroup$ The curse of solving differential equations is defining proper initial border and spatialconditions. Meteorologists could tell sagas about solving Richardson's partial diff. equations to predict synoptic situation by the most powerful available computers. $\endgroup$
    – Poutnik
    Jun 13, 2022 at 15:38


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