P10-16 The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3% Pt/Al₂O, catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydro- gen (H2) to avoid coking [J. Phys. Chem., 64, 1559 (1960)]. (a) Determine the model parameters for each of the following rate laws. (1)-=kPP (3)-1= MH₂ KPMPH (1+KMPM)² (2)- kPM 1+KMPM KPMP (4)-= 1+KMPM+K₁₂PH₂ Use the data in Table P10-16g below. (b) Which rate law best describes the data? Hint: Neither KH, or KM 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 P10-16 DEHYDROGENATION OF METHYLCYCLOHEXANE (mol toluene) s-kg-cat PH, (atm) PM (atm) 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 P10-17 Sketch qualitatively the reactant, product, and activity profiles as a function of length at various times
P10-16 The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3% Pt/Al₂O, catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydro- gen (H2) to avoid coking [J. Phys. Chem., 64, 1559 (1960)]. (a) Determine the model parameters for each of the following rate laws. (1)-=kPP (3)-1= MH₂ KPMPH (1+KMPM)² (2)- kPM 1+KMPM KPMP (4)-= 1+KMPM+K₁₂PH₂ Use the data in Table P10-16g below. (b) Which rate law best describes the data? Hint: Neither KH, or KM 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 P10-16 DEHYDROGENATION OF METHYLCYCLOHEXANE (mol toluene) s-kg-cat PH, (atm) PM (atm) 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 P10-17 Sketch qualitatively the reactant, product, and activity profiles as a function of length at various times
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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![P10-16 The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3%
Pt/Al₂O, catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydro-
gen (H2) to avoid coking [J. Phys. Chem., 64, 1559 (1960)].
(a) Determine the model parameters for each of the following rate laws.
(1)-=kPP
(3)-1=
MH₂
KPMPH
(1+KMPM)²
(2)-
kPM
1+KMPM
KPMP
(4)-=
1+KMPM+K₁₂PH₂
Use the data in Table P10-16g below.
(b) Which rate law best describes the data? Hint: Neither KH, or KM 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 P10-16 DEHYDROGENATION OF METHYLCYCLOHEXANE
(mol toluene)
s-kg-cat
PH, (atm)
PM (atm)
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
P10-17 Sketch qualitatively the reactant, product, and activity profiles as a function of length at various times](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fc350d7-8a20-4a5a-8058-61290d180fd9%2F19f4e9e1-7219-45bd-95b6-757cbb1c8d6f%2Fjk8mhqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P10-16 The dehydrogenation of methylcyclohexane (M) to produce toluene (T) was carried out over a 0.3%
Pt/Al₂O, catalyst in a differential catalytic reactor. The reaction is carried out in the presence of hydro-
gen (H2) to avoid coking [J. Phys. Chem., 64, 1559 (1960)].
(a) Determine the model parameters for each of the following rate laws.
(1)-=kPP
(3)-1=
MH₂
KPMPH
(1+KMPM)²
(2)-
kPM
1+KMPM
KPMP
(4)-=
1+KMPM+K₁₂PH₂
Use the data in Table P10-16g below.
(b) Which rate law best describes the data? Hint: Neither KH, or KM 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 P10-16 DEHYDROGENATION OF METHYLCYCLOHEXANE
(mol toluene)
s-kg-cat
PH, (atm)
PM (atm)
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
P10-17 Sketch qualitatively the reactant, product, and activity profiles as a function of length at various times
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