The rate at which a substance passes through a semipermeable 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 = Do exp (-E/RT) where Do = the preexponential 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 x 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.
The rate at which a substance passes through a semipermeable 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 = Do exp (-E/RT) where Do = the preexponential 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 x 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.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:The rate at which a substance passes through a semipermeable 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 = Do exp (-E/RT)
where Do = the preexponential 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 x 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.
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