Comput the number of kilograms of hydrogen that pass per hourthrough a 6-mm thic

Question

Comput the number of kilograms of hydrogen that pass per hourthrough a 6-mm thick sheet of pladium having an area of.25m^2 at 600 C.   Assume a diffusion coefficient of 1.7x 10^(-8) m^2/s, that the concentrations at high-and-lowpressure sides of the plate are 2.0 and .4 kg of hydrogen per cubicmeter of palladium, and that the steady state conditions have beenattained. I know it is a long question but I am stuck on it. Thank you for you time!!! Comput the number of kilograms of hydrogen that pass per hourthrough a 6-mm thick sheet of pladium having an area of.25m^2 at 600 C.   Assume a diffusion coefficient of 1.7x 10^(-8) m^2/s, that the concentrations at high-and-lowpressure sides of the plate are 2.0 and .4 kg of hydrogen per cubicmeter of palladium, and that the steady state conditions have beenattained. I know it is a long question but I am stuck on it. Thank you for you time!!!

Explanation / Answer

M = JAt = -DAt(C/x) =(1.7e-8 m^2/s) (.25 m^2)(3600 sec/h)(.4 - 2.0 kg/m^3 / 6e-3 m) = 4.1e-3 kg/h

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