The rate at which a substance passes through a semipermeable membrane is determined by t diffusivity D(cm2/s) of the gas. D varies with the membrane temperature T(K) according to th Arrhenius equation: D = Do exp (-E/RT)
where Do = the preexponentia!factor
E = the activation energy for diffusion
R 1 .987 cal/(mol-K)
Diffusivities of SO2 in a fluorosilicone rubber tube are measured at several temperatures, with the following results: T(K) 347.0 374.2 396.2 420.7 447.7 471.2 D(cm2/s) x 106 1.34 2.50 4.55 8.52 14.07 19.99 ←(so that D = 1.34 × 10-6 cm2/s)
(a) What are the units of Do 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 Do and E from the resulting line.
(d) Repeat Part (c) using a spreadsheet program.