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The conversion-time relationship for a noncatalytic nonisothermal solid-gas reaction is formulated employing a shrinking core model for a single spherical pellet in which for simplicity the solid-gas reaction is approximated by a first-order irreversible reaction. The formulation takes into account the changing size of the particle during reaction and also includes the influence of Intermolecular gas film diffusion, intraparticle ash layer diffusion, and chemical reaction rate. Numerical calculations reveal that the influence of changing size on conversion-time relationship is significant whenever the reaction is controlled either by intermolecular and/or intraparticle diffusion. The effect of heat transfer coefficient, while found to be negligible for a growing particle, has a marked influence on a shrinking particle. This formulation and the conclusions drawn from the numerical calculations are directly applicable in modeling fluidized bed reactors.

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