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 4.0-mm-thick sheet of palladium having an area of 0.13 m2 at 500°C. Assume a diffusion coefficient of 5.1 * 10-8 m2/s, that the concentrations at the high - and low-pressure sides of the plates are 2.9 and 0.31 kg/m3 of hydrogen per cubic meter of palladium, and that steady-state conditions have been attained.

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Engineering

Andrew Cannon

15 January, 21:06

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 4.0-mm-thick sheet of palladium having an area of 0.13 m2 at 500°C. Assume a diffusion coefficient of 5.1 * 10-8 m2/s, that the concentrations at the high - and low-pressure sides of the plates are 2.9 and 0.31 kg/m3 of hydrogen per cubic meter of palladium, and that steady-state conditions have been attained.

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Darrell Ayala · Answer 1

Answer: 5.36*10-3kg/h

Where 10-3 is 10 exponential 3 or 10 raised to the power of - 3.

Explanation:using the formula

M = JAt = - DAt*Dc/Dx

Where D is change in the respective variables. Insulting the values we get,

=5.1 * 10-8 * 0.13 * 3600 * 2.9 * 0.31 / 4*10-3.

=5.36*10-3kg/h