The purification of hydrogen gas is possible by diffusion through a thin palladi
ID: 483896 • Letter: T
Question
The purification of hydrogen gas is possible by diffusion through a thin palladium sheet. Calculate the number of kilograms of hydrogen that pass per hour through a thick sheet of palladium having an area and thickness of 2.4 mm at 500C. Assume a diffusion coefficient of 8.9x10-8 m2/s, that the concentrations at the high- and low-pressure sides of the plates are 3.3 and 0.64 kg/m3 of hydrogen per cubic meter of palladium, and that steady-state conditions have been attained.(Answer in Engineering Notation). Write all Engineering Notation to the tenth place only.
Explanation / Answer
in this queation there are not mention area provide it
mass of hydrogen, per hour, that diffuses through a Palladium sheet.Combining these expressions and solving for the mass yields
M = JAt ......(1)
M = -DAt (C / x) ............(2)
JAt = -DAt (C / x)
M(mass of hydrogen) = - (8.9 x 10-8 m2/s) (area) (3600 s) [ (0.64 - 3.3 kg /m3) / 2.4 x10-3 m]
M = A x 3.5510.999 x 10-5 Kg/h .... (multiply by A area and get correct answer)
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