A gas mixture of constant composition 5.0 mole% CO 2 and 95 mole% air flows around a

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A gas mixture of constant composition 5.0 mole% CO2 and 95 mole% air flows around a porous, spherical particle of diameter 3.0 cm that initially only contains only air (no CO2) within the gas space of the pores of the particle. At the process conditions of interest (30 C, 1.0 atm), the binary diffusion coefficient of CO2 in air (DAB) is 0.159 cm2/s, and the effective diffusion coefficient (DAe) ofCO2 inside the porous particle (e 0.3) is 0.0143 cm2/s.

a. What is the mole fraction of CO2 in the center of the spherical particle after 30 s?
b. How long will it take for the center of the spherical particle to have a composition of 4.8 mole% CO2, assuming that the bulk gas COcomposition equals the CO2 composition at the outer surface of the particle?
c. If the particle diameter is doubled to 6.0 cm, what is the new time required to achieve a composition of 4.8 mole% CO2 in the center of particle?

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Fundamentals Of Momentum Heat And Mass Transfer

ISBN: 9781119723547

7th Edition

Authors: James Welty, Gregory L. Rorrer, David G. Foster

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