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A first order heterogeneous irreversible reaction is taking place within a spherical catalyst pellet which is plated with platinum throughout the pellet. The reactant concentration half way between the external surface and centre of the pellet (r=R/2) is equal to one -tenth the concentration of pellet external surface. The concentration at the external surface is 0.001 g mol/dm³, the diameter (2R) is 2×10 cm, and the diffusion coefficient is 0.1 cm?/s (i) What is the concentration of reactant at a distance of 3x104 cm in from the external pellet surface? |(ii) To what diameter should the pellet be reduced if the effectiveness factor is to be 0.8?

A first order heterogeneous irreversible reaction is taking place within a spherical catalyst pellet which is plated with platinum throughout the pellet. The reactant concentration half way between the external surface and centre of the pellet (r=R/2) is equal to one -tenth the concentration of pellet external surface. The concentration at the external surface is 0.001 g mol/dm³, the diameter (2R) is 2×10 cm, and the diffusion coefficient is 0.1 cm?/s (i) What is the concentration of reactant at a distance of 3x104 cm in from the external pellet surface? |(ii) To what diameter should the pellet be reduced if the effectiveness factor is to be 0.8?

Introduction to Chemical Engineering Thermodynamics
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
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16. A first order heterogeneous irreversible reaction is taking place within a spherical catalyst pellet which is plated with platinum throughout the pellet. The reactant concentration half way between the external surface and centre of the pellet (r=R/2) is equal to one -tenth the concentration of pellet external surface. The concentration at the external surface is 0.001 g mol/dm3, the diameter (2R) is 2×10 cm, and the diffusion coefficient is 0.1 cm?/s (i) What is the concentration of reactant at a distance of 3x104 cm in from the external pellet surface? |(ii) To what diameter should the pellet be reduced if the effectiveness factor is to be 0.8?
Transcribed Image Text:16. A first order heterogeneous irreversible reaction is taking place within a spherical catalyst pellet which is plated with platinum throughout the pellet. The reactant concentration half way between the external surface and centre of the pellet (r=R/2) is equal to one -tenth the concentration of pellet external surface. The concentration at the external surface is 0.001 g mol/dm3, the diameter (2R) is 2×10 cm, and the diffusion coefficient is 0.1 cm?/s (i) What is the concentration of reactant at a distance of 3x104 cm in from the external pellet surface? |(ii) To what diameter should the pellet be reduced if the effectiveness factor is to be 0.8?
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