The steady-state diffusion flux through a metal plate is 7.5 × 10-8 kg/m2-s at a temperature of 1240˚C ( 1513 K) and when the concentration gradient is -500 kg/m4. Calculate the diffusion flux at 1050˚C ( 1323 K) for the same concentration gradient and assuming an activation energy for diffusion of 145,000 J/mol.

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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The steady-state diffusion flux through a metal plate is 7.5 × 10-8 kg/m2-s at a temperature of 1240˚C ( 1513 K) and when the concentration gradient is -500 kg/m4. Calculate the diffusion flux at 1050˚C ( 1323 K) for the same concentration gradient and assuming an activation energy for diffusion of 145,000 J/mol.

  ______________ kg/m2 s (Use scientific notation.)

 

Expert Solution
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Ficks law which relates diffusion flux with concentration gradient is used here.

Also variation of diffusivity with temperature is used.

 

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