For a first order irreversible solid gas non-catalytic reaction A (g) + bB (s) dD...

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For a first order irreversible solid gas non-catalytic reaction A (g) + bB (s) → dD (g) + pP (s) the reagent particles are long cylinders, the particle size does not change during the reaction, and the process is limited by internal diffusion. Use the central reduction model to derive the relationship between the conversion x B of solid reagent B and the reaction time t. For a first order irreversible solid gas non-catalytic reaction A (g) + bB (s) → dD (g) + pP (s) the reagent particles are long cylinders, the particle size does not change during the reaction, and the process is limited by internal diffusion. Use the central reduction model to derive the relationship between the conversion x B of solid reagent B and the reaction time t.