The following E(t) curve was obtained from a tracer test on a 20 dm³ reactor. k E(t) = 0.48(t) + 0.68(t - 2) A second-order reaction (AB) is to be carried out in this reactor, with vo = 10 dm³/min, CAO = 2 mol/dm³, and k = 0.2 dm³/mol · min,. (i) What is the mean residence time tm? (j) What is the variance σ²? (k) What conversions do you expect from an ideal PFR and an ideal CSTR in a real reactor tm? (1) Find the conversion predicted by the segregation model. (m) Find the conversion predicted by the maximum mixedness model. (n) What conversion is predicted by the tanks-in-series model? (0) Suggest a two-parameter model (combination of ideal reactors with bypass and/or dead volume) consistent with the data; evaluate the model parameters, a and ẞ, and the expected conversion. (p) Compare and discuss the results of the four models.

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
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The following E(t) curve was obtained from a tracer test on a 20 dm³ reactor.
k
E(t) = 0.48(t) + 0.68(t - 2)
A second-order reaction (AB) is to be carried out in this reactor, with vo = 10 dm³/min, CAO = 2
mol/dm³, and k = 0.2 dm³/mol · min,.
(i) What is the mean residence time tm?
(j) What is the variance σ²?
(k) What conversions do you expect from an ideal PFR and an ideal CSTR in a real reactor tm?
(1) Find the conversion predicted by the segregation model.
(m) Find the conversion predicted by the maximum mixedness model.
(n) What conversion is predicted by the tanks-in-series model?
(0) Suggest a two-parameter model (combination of ideal reactors with bypass and/or dead volume)
consistent with the data; evaluate the model parameters, a and ẞ, and the expected conversion.
(p) Compare and discuss the results of the four models.
Transcribed Image Text:The following E(t) curve was obtained from a tracer test on a 20 dm³ reactor. k E(t) = 0.48(t) + 0.68(t - 2) A second-order reaction (AB) is to be carried out in this reactor, with vo = 10 dm³/min, CAO = 2 mol/dm³, and k = 0.2 dm³/mol · min,. (i) What is the mean residence time tm? (j) What is the variance σ²? (k) What conversions do you expect from an ideal PFR and an ideal CSTR in a real reactor tm? (1) Find the conversion predicted by the segregation model. (m) Find the conversion predicted by the maximum mixedness model. (n) What conversion is predicted by the tanks-in-series model? (0) Suggest a two-parameter model (combination of ideal reactors with bypass and/or dead volume) consistent with the data; evaluate the model parameters, a and ẞ, and the expected conversion. (p) Compare and discuss the results of the four models.
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