fluidized coal reactor has been proposed for a new power plant. If operated at 1145 K, the process will be limited by the diffusion of oxygen countercurrent to the carbon monoxide (CO) formed at the coal particle surface. Assume that the coal is pure solid carbon with a density (ρc) of 12800 kg/m3 and that the particle is spherical with an initial diameter of 150 μm. Air (21% O2 and 79% N2) exists several diameters away from the sphere. Under the conditions of the combustion process, the mass diffusivity of oxygen in the gas mixture (DAB) at 1145 K is 1.3 cm2/s. The rate of reaction between carbon and oxygen at this temperature is so high that the concentration of oxygen at the particle surface is essentially zero. Use a quasi-steady state analysis to determine the particle radius as a function of time. Determine the time necessary to reduce the diameter of the coal particle to 50 μm

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A fluidized coal reactor has been proposed for a new power plant. If operated at 1145 K, the process will be limited by the diffusion of oxygen countercurrent to the carbon monoxide (CO) formed at the coal particle surface. Assume that the coal is pure solid carbon with a density (ρc) of 12800 kg/m3 and that the particle is spherical with an initial diameter of 150 μm. Air (21% O2 and 79% N2) exists several diameters away from the sphere. Under the conditions of the combustion process, the mass diffusivity of oxygen in the gas mixture (DAB) at 1145 K is 1.3 cm2/s. The rate of reaction between carbon and oxygen at this temperature is so high that the concentration of oxygen at the particle surface is essentially zero. Use a quasi-steady state analysis to determine the particle radius as a function of time. Determine the time necessary to reduce the diameter of the coal particle to 50 μm
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