# Question: 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 (– 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.

(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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