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 Page 2 of 3 through a 6 mm thick sheet of palladium having an area of 0.25 m2 at 600°C. Assume a diffusion coefficient of 1.7 × 10-8 m2 /s, that the concentrations at the high and low pressure sides of the plates are 2.0 and 0.4 kg/m3 of hydrogen per cubic meter of palladium, and that steady state conditions have been attained.

Answer 1

0.00408 Kg/h

Step-by-step explanation:

Change in length is given by

`\triangle x=(x_A-x_B)` where
`x_A` and
`x_B` is position at higher and lower concentration respectively

Therefore, substituting the figures

`\triangle x=(0-6)=-6mm=-0.006m`

Change in concentration is given by

`\triangle C= C_A-C_B`

`\triangle C=2-0.4=1.6 Kg/m^(3)`

Using the equation

`M=-DAt\frac {\triangle C}{\triangle x}` we obtain

`M=-1.7*10^(-8)*0.25*3600*\frac {1.6}{-0.006}=0.00408 Kg/h`