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.

Respuesta :

Answer:

0.00408 Kg/h

Explanation:

Change in length is given by

[tex]\triangle x=(x_A-x_B)[/tex] where [tex]x_A[/tex] and [tex]x_B[/tex] is position at higher and lower concentration respectively

Therefore, substituting the figures

[tex]\triangle x=(0-6)=-6mm=-0.006m[/tex]

Change in concentration is given by

[tex]\triangle C= C_A-C_B[/tex]

[tex]\triangle C=2-0.4=1.6 Kg/m^{3}[/tex]

Using the equation

[tex]M=-DAt\frac {\triangle C}{\triangle x}[/tex] we obtain

[tex]M=-1.7*10^{-8}*0.25*3600*\frac {1.6}{-0.006}=0.00408 Kg/h[/tex]