Pulverized coal pellets, which may be approximatedas

Chapter 14, Problem 14.30

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Pulverized coal pellets, which may be approximatedas carbon spheres of radius ro?1 mm, are burned in apure oxygen atmosphere at 1450 K and 1 atm. Oxygenis transferred to the particle surface by diffusion,where it is consumed in the reaction C?O2lCO2.The reaction rate is first order and of the form ?O2??k?1CO2(ro), where k?1?0.1 m/s. Neglecting changes inro, determine the steady-state O2molar consumptionrate in kmol/s. At 1450 K, the binary diffusion coeffi-cient for O2and CO2is 1.71?10?4m2/s.

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