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.