P10-16B The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3% Pt/ catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydrogen (H2) to avoid coking (J. Phys. Chem., 64, 1559 (1960)). Describe how you would determine the model parameters for each of the following rate laws. a. (1)-rm=kPMP PB kPMPH₂ (3) -rm H₂ kPM (1+KMPM)² KPMPH₂ (2) -M (4)-r 1+KMPM 1+KMPм+K₁₂PH₂ Use the data in Table P10-16B below. b. Which rate law best describes the data? Hint: Neither K₂ or K can take on negative values. C. Where would you place additional data points? d. Suggest a mechanism and rate-limiting step consistent with the rate law you have chosen. TABLE P10-16B DEHYDROGENATION OF METHYLCYCLOHEXANE PH, (atm) PM (atm) mol toluene rT s-kg-cat 1 1 1.2 1.5 1 1.25 0.5 1 1.30 0.5 0.5 1.1 1 0.25 0.92 0.5 0.1 0.64 3 3 1.27 1 4 1.28 3 2 1.25 4 1 1.30 0.5 0.25 0.94 2 0.05 0.41

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
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Chapter1: Introduction
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Please help with a-d using polymath where applicable

P10-16B The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out
over a 0.3% Pt/ catalyst in a differential catalytic reactor. The reaction is carried out in
the presence of hydrogen (H2) to avoid coking (J. Phys. Chem., 64, 1559 (1960)).
Describe how you would determine the model parameters for each of the following
rate laws.
a.
(1)-rm=kPMP
PB
kPMPH₂
(3) -rm
H₂
kPM
(1+KMPM)²
KPMPH₂
(2) -M
(4)-r
1+KMPM
1+KMPм+K₁₂PH₂
Use the data in Table P10-16B below.
b. Which rate law best describes the data? Hint: Neither K₂ or K can take on
negative values.
C. Where would you place additional data points?
d. Suggest a mechanism and rate-limiting step consistent with the rate law you have
chosen.
TABLE P10-16B DEHYDROGENATION OF METHYLCYCLOHEXANE
PH, (atm) PM
(atm)
mol toluene
rT
s-kg-cat
1
1
1.2
1.5
1
1.25
0.5
1
1.30
0.5
0.5
1.1
1
0.25
0.92
0.5
0.1
0.64
3
3
1.27
1
4
1.28
3
2
1.25
4
1
1.30
0.5
0.25
0.94
2
0.05
0.41
Transcribed Image Text:P10-16B The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3% Pt/ catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydrogen (H2) to avoid coking (J. Phys. Chem., 64, 1559 (1960)). Describe how you would determine the model parameters for each of the following rate laws. a. (1)-rm=kPMP PB kPMPH₂ (3) -rm H₂ kPM (1+KMPM)² KPMPH₂ (2) -M (4)-r 1+KMPM 1+KMPм+K₁₂PH₂ Use the data in Table P10-16B below. b. Which rate law best describes the data? Hint: Neither K₂ or K can take on negative values. C. Where would you place additional data points? d. Suggest a mechanism and rate-limiting step consistent with the rate law you have chosen. TABLE P10-16B DEHYDROGENATION OF METHYLCYCLOHEXANE PH, (atm) PM (atm) mol toluene rT s-kg-cat 1 1 1.2 1.5 1 1.25 0.5 1 1.30 0.5 0.5 1.1 1 0.25 0.92 0.5 0.1 0.64 3 3 1.27 1 4 1.28 3 2 1.25 4 1 1.30 0.5 0.25 0.94 2 0.05 0.41
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