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 listed above 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)

m = 0.04955 kg/h

Explanation:

Given data:

Assume Thickness  of sheet = 4.3 mm

              and area of 0.25 m^2

Temperature = 500 degree C

Mass of hydrogen/ hr can be calculated as

Where,

D - Diffusion constant

A - Area of sheet = 0.25 m^2

L  - thickness = 4.3 mm = 4.3 \times 10^{-3} m

= Higher preesure side concentration of hydrogen = 3.3 kg/m^3

= low pressure side concentration of hydrogen = 0.64  kg/m^3

t =1 hr

therefore m value is

m = 0.04955 kg/h

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