Partial pressure of benzene, atm 5.0 x 104 1.0 x 10-³ 2.0 x 10-³ 5.0 x 10-³ 1.0 x 10-² 2.0 x 10-² n C, moles adsorbed per gram of gel, x105 90°C 6.7 11.2 Tm (mol/g gel): 1.302 x10-³ с 70°C 14.0 22.0 34.0 68.0 88.0 1.579 13.48 18.0 33.0 51.0 78.0 1.108 x10-³ 1.508 9.737 110°C 2.6 4.5 7.8 17.0 27.0 42.0 7.253 x10-4 130°C 1.13 2.0 3.9 8.6 16.0 26.0 6.627 X10-4 1.156 12.32 a. Derive a linearized form of the Freundlich isotherm. What values of y and x should you use to determine the Freundlich constants? b. Determine the Freundlich constants, n and c, at 110°C. c. Derive a function p = f(0) to relate pressure (in atm) with surface coverage.

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Given the following adsorption data of Shen and Smith (1968), and using the Freundlich isotherm, ? = ??1/?, as well as the number of moles adsorbed corresponding to monolayer adsorption, with Freundlich constants provided for 70, 90 and 130 oC: 

d. Determine the isosteric heats of adsorption for 0 = 0.25, 0.50 and 0.75.
e. Does the trend of isosteric heat of adsorption follow Freundlich's assumption? Show
via regression or plot.
Transcribed Image Text:d. Determine the isosteric heats of adsorption for 0 = 0.25, 0.50 and 0.75. e. Does the trend of isosteric heat of adsorption follow Freundlich's assumption? Show via regression or plot.
Partial pressure of
benzene, atm
5.0 x 10+
1.0 x 10-³
2.0 x 10-³
5.0 x 10-³
1.0 x 10-²
2.0 x 10-²
Tm (mol/g gel):
с
C, moles adsorbed per gram of gel, x105
90°C
6.7
11.2
18.0
33.0
51.0
78.0
1.108 x10-³
70°C
14.0
22.0
34.0
68.0
88.0
1.302 x10-³
1.579
13.48
1.508
9.737
110°C
2.6
4.5
7.8
17.0
27.0
42.0
7.253 x104
130°C
1.13
2.0
3.9
8.6
16.0
26.0
6.627 X10-4
1.156
12.32
a. Derive a linearized form of the Freundlich isotherm. What values of y and x should you
use to determine the Freundlich constants?
b. Determine the Freundlich constants, n and c, at 110°C.
c. Derive a function p = f(0) to relate pressure (in atm) with surface coverage.
Transcribed Image Text:Partial pressure of benzene, atm 5.0 x 10+ 1.0 x 10-³ 2.0 x 10-³ 5.0 x 10-³ 1.0 x 10-² 2.0 x 10-² Tm (mol/g gel): с C, moles adsorbed per gram of gel, x105 90°C 6.7 11.2 18.0 33.0 51.0 78.0 1.108 x10-³ 70°C 14.0 22.0 34.0 68.0 88.0 1.302 x10-³ 1.579 13.48 1.508 9.737 110°C 2.6 4.5 7.8 17.0 27.0 42.0 7.253 x104 130°C 1.13 2.0 3.9 8.6 16.0 26.0 6.627 X10-4 1.156 12.32 a. Derive a linearized form of the Freundlich isotherm. What values of y and x should you use to determine the Freundlich constants? b. Determine the Freundlich constants, n and c, at 110°C. c. Derive a function p = f(0) to relate pressure (in atm) with surface coverage.
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