Example Problem

$5\mathrm{.}6$ The purification of hydrogen is achieved by diffusion through a palladium sheet. Compute the number of kilograms of hydrogen that pass per hour through a $6$ mm thick sheet of palladium having an area of $0\mathrm{.}20m^2$ at $500C.$ Assume a diffusion coefficient of $1\mathrm{.}0{10}^{-8}\frac{m^2}{s}.$ Also it is known that the concentration at the high and low pressure surfaces of the plate are $2\mathrm{.}4$ and $0\mathrm{.}6k\frac{g}{m^3}.$ Assume that steady state conditions have been attained.