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Given the following adsorption data of Shen and Smith (1968), and using the Freundlich isotherm, 0 = cp¹/n, as well as the number of moles adsorbed corresponding to monolayer adsorption, with Freundlich constants provided for 70, 90 and 130 °C: Partial pressure of benzene, atm 5.0 x 104 1.0 x 10³ 2.0 x 10-³ 5.0 x 10-3 1.0 x 10-² 2.0 x 10-² n T, moles adsorbed per gram of gel, x105 90°C 6.7 11.2 18.0 Tm (mol/g gel): 1.302 x10-³ 'm C 70°C 14.0 22.0 34.0 68.0 88.0 1.579 13.48 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.

Given the following adsorption data of Shen and Smith (1968), and using the Freundlich isotherm, 0 = cp¹/n, as well as the number of moles adsorbed corresponding to monolayer adsorption, with Freundlich constants provided for 70, 90 and 130 °C: Partial pressure of benzene, atm 5.0 x 104 1.0 x 10³ 2.0 x 10-³ 5.0 x 10-3 1.0 x 10-² 2.0 x 10-² n T, moles adsorbed per gram of gel, x105 90°C 6.7 11.2 18.0 Tm (mol/g gel): 1.302 x10-³ 'm C 70°C 14.0 22.0 34.0 68.0 88.0 1.579 13.48 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
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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Given the following adsorption data of Shen and Smith (1968), and using the Freundlich isotherm, 0 = cp¹/¹¹, as well as the number of moles adsorbed corresponding to monolayer adsorption, with Freundlich constants provided for 70, 90 and 130 °C: 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 с T, moles adsorbed per gram of gel, x105 90°C 110°C 6.7 2.6 11.2 4.5 18.0 7.8 33.0 17.0 51.0 27.0 78.0 42.0 1.108 x10-³ 70°C 14.0 22.0 34.0 68.0 88.0 - Cm (mol/g gel): 1.302 x10-³ 'm 1.579 13.48 1.508 9.737 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:Given the following adsorption data of Shen and Smith (1968), and using the Freundlich isotherm, 0 = cp¹/¹¹, as well as the number of moles adsorbed corresponding to monolayer adsorption, with Freundlich constants provided for 70, 90 and 130 °C: 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 с T, moles adsorbed per gram of gel, x105 90°C 110°C 6.7 2.6 11.2 4.5 18.0 7.8 33.0 17.0 51.0 27.0 78.0 42.0 1.108 x10-³ 70°C 14.0 22.0 34.0 68.0 88.0 - Cm (mol/g gel): 1.302 x10-³ 'm 1.579 13.48 1.508 9.737 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.
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.
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