# The rate at which a substance passes through a semi permeable

## The rate at which a substance passes through a semi permeable membrane is determined by the diffusivity D(cm2/s) of the gas. D varies with the membrane temperature T(K) according to the Arrhenius equation: D = D0 exp (â€“ E RT) where D0 = the pre-exponential factor E = the activation energy for diffusion R = 1.987 cal/mol ∙K). Diffusitivities of SO2 in a fluorosilicone rubber tube are measured at several temperatures, with the following results: (a) What are the units of D0 and E? (b) How should the data be plotted to obtain a straight line on rectangular coordinates? (c) Plot the data in the manner indicated in part (b) and determine D0 and E from the resulting line. (d) Write a computer program or spreadsheet to read in the (T, D) data and to calculate D0 and E using the method of least squares (Appendix A.1). Then run the program and print out the results.

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• CreatedDecember 13, 2010
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