5) A slurry reactor has been operating to carry out a hydrogenation reaction. After one year of operation, a reduction in the reaction rate is observed and the problem is being investigated. Two possible caused are: A) agglomeration of catalyst pellets or B) a partially blocked sparger, which would limit the gas absorption rate in the slurry. The following information is available from plant data before and after the problem developed, where m is the catalyst loading [g/dm³], CA¡ is the solubility of gas in the liquid phase [mol/dm³] and RA is the overall reaction rate [mol/dm³·min¹]. Prior to malfunction m [dm³/g] CAi [mol/dm³] 100 0.3 50 0.3 33.3 0.3 After malfunction RA [mol/dm³ min m [dm³/g] CAi RA [mol/dm³.min'] ני [mol/dm³] 0.071 100 0.3 0.050 0.040 50 0.3 0.032 0.028 33.3 0.3 0.023 a) Derive expression relating the overall reaction rate to the sum of the three resistances to the overall reaction rate: gas absorption, Rы, external diffusion, Re, and reaction/internal diffusion, R.. assume that the reaction is first order with respect to hydrogen. b) Assuming that the external diffusion from bulk liquid to catalyst pellet surface is fast, determine whether the sparger or catalyst agglomeration is causing the problem. Justify your answer with a graph. c) At a catalyst loading of 80 g/dm³, by how much does the relative contribution of each of the resistance (as a percentage) change after the malfunction?
5) A slurry reactor has been operating to carry out a hydrogenation reaction. After one year of operation, a reduction in the reaction rate is observed and the problem is being investigated. Two possible caused are: A) agglomeration of catalyst pellets or B) a partially blocked sparger, which would limit the gas absorption rate in the slurry. The following information is available from plant data before and after the problem developed, where m is the catalyst loading [g/dm³], CA¡ is the solubility of gas in the liquid phase [mol/dm³] and RA is the overall reaction rate [mol/dm³·min¹]. Prior to malfunction m [dm³/g] CAi [mol/dm³] 100 0.3 50 0.3 33.3 0.3 After malfunction RA [mol/dm³ min m [dm³/g] CAi RA [mol/dm³.min'] ני [mol/dm³] 0.071 100 0.3 0.050 0.040 50 0.3 0.032 0.028 33.3 0.3 0.023 a) Derive expression relating the overall reaction rate to the sum of the three resistances to the overall reaction rate: gas absorption, Rы, external diffusion, Re, and reaction/internal diffusion, R.. assume that the reaction is first order with respect to hydrogen. b) Assuming that the external diffusion from bulk liquid to catalyst pellet surface is fast, determine whether the sparger or catalyst agglomeration is causing the problem. Justify your answer with a graph. c) At a catalyst loading of 80 g/dm³, by how much does the relative contribution of each of the resistance (as a percentage) change after the malfunction?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
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![5) A slurry reactor has been operating to carry out a hydrogenation reaction. After one year of
operation, a reduction in the reaction rate is observed and the problem is being investigated. Two
possible caused are: A) agglomeration of catalyst pellets or B) a partially blocked sparger, which
would limit the gas absorption rate in the slurry.
The following information is available from plant data before and after the problem developed,
where m is the catalyst loading [g/dm³], CA¡ is the solubility of gas in the liquid phase [mol/dm³] and
RA is the overall reaction rate [mol/dm³·min¹].
Prior to malfunction
m [dm³/g]
CAi
[mol/dm³]
100
0.3
50
0.3
33.3
0.3
After malfunction
RA [mol/dm³ min
m [dm³/g]
CAi
RA [mol/dm³.min']
ני
[mol/dm³]
0.071
100
0.3
0.050
0.040
50
0.3
0.032
0.028
33.3
0.3
0.023
a) Derive expression relating the overall reaction rate to the sum of the three resistances to the overall
reaction rate: gas absorption, Rы, external diffusion, Re, and reaction/internal diffusion, R.. assume that the
reaction is first order with respect to hydrogen.
b) Assuming that the external diffusion from bulk liquid to catalyst pellet surface is fast, determine
whether the sparger or catalyst agglomeration is causing the problem. Justify your answer with a graph.
c) At a catalyst loading of 80 g/dm³, by how much does the relative contribution of each of the resistance
(as a percentage) change after the malfunction?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F955246a9-3d25-44a7-bdaf-4ef0b7e009a3%2F70b7c01e-c254-4bf7-9980-15878945a743%2Fsdqm07c_processed.png&w=3840&q=75)
Transcribed Image Text:5) A slurry reactor has been operating to carry out a hydrogenation reaction. After one year of
operation, a reduction in the reaction rate is observed and the problem is being investigated. Two
possible caused are: A) agglomeration of catalyst pellets or B) a partially blocked sparger, which
would limit the gas absorption rate in the slurry.
The following information is available from plant data before and after the problem developed,
where m is the catalyst loading [g/dm³], CA¡ is the solubility of gas in the liquid phase [mol/dm³] and
RA is the overall reaction rate [mol/dm³·min¹].
Prior to malfunction
m [dm³/g]
CAi
[mol/dm³]
100
0.3
50
0.3
33.3
0.3
After malfunction
RA [mol/dm³ min
m [dm³/g]
CAi
RA [mol/dm³.min']
ני
[mol/dm³]
0.071
100
0.3
0.050
0.040
50
0.3
0.032
0.028
33.3
0.3
0.023
a) Derive expression relating the overall reaction rate to the sum of the three resistances to the overall
reaction rate: gas absorption, Rы, external diffusion, Re, and reaction/internal diffusion, R.. assume that the
reaction is first order with respect to hydrogen.
b) Assuming that the external diffusion from bulk liquid to catalyst pellet surface is fast, determine
whether the sparger or catalyst agglomeration is causing the problem. Justify your answer with a graph.
c) At a catalyst loading of 80 g/dm³, by how much does the relative contribution of each of the resistance
(as a percentage) change after the malfunction?
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