One typical equation of expressing EA for rapid first-order reaction [82], constant gas phase concentration and no liquid through-flow of bulk is:

where Csi is the actual solids concentration in the gas-liquid film for mass transfer, described by Wimmers and Fortuin via a Freundlich isotherm still containing some empirical factors [82, 99], kr is the pseudo-homogeneous first-order reaction rate constant, and Haf is the modified Hatta number defined by the following equation:

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