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Published in Soil Sci Soc Am J 47:425-430 (1983)
© 1983 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Applicability of Fick's Law to Gas Diffusion1

D. B. Jaynes and A. S. Rogowski2

ABSTRACT

The comparison of Fick's Law for the diffusion of gas i in a vapor to the equations based on the kinetic theory of gases shows that only for certain special conditions is the Fickian diffusion coefficient, DFi, independent of the mole fraction of i and the diffusional fluxes of the other gases. These conditions include the diffusion of a trace concentration of gas through a gas mixture of any composition, equimolar, counter-current diffusion in a binary gas mixture, and diffusion in a ternary mixture where one gas is stagnant. In an O2, CO2, N2 atmosphere, variations in diffusion coefficient of at least 10% from the tracer values are possible with variations in the mole fractions of the gas or the relative magnitude of their fluxes. The temperature and pressure dependency of the diffusion coefficient must also be recognized.


NOTES

1 Contribution from the U.S. Department of Agriculture, Agricultural Research Service, in cooperation with the Pennsylvania Agric. Exp. Stn., The Pennsylvania State University, University Park, PA 16802.

2 Soil Scientist, U.S. Water Conservation Laboratory, Phoenix (formerly Graduate Assistant, The Pennsylvania State Univ.); and Soil Scientist, Northeast Watershed Research Center, University Park, Pa.

Received for publication October 18, 1982. Accepted for publication January 19, 1983.




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