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The irreversible first-order (wrt partial pressure of A) gas-phase reaction A → B is carried out isothermally in a "fluidized" catalyic CSTR containing 50 kg of catalyst (Figure in margin).. Currently 50% conversion is realized for pure A entering at pressure of 20 atm. There is virtually no pressure drop in the CSTR. It is proposed to put a PBR containing the same catalyst weight in series with the CSTR. The pressure drop parameter for the PBR o. given by Equation (4-33) is a = 0.018 kg-¹. The particle size is 0.2 mm. the bed porosity is 40%, and the viscosity is the same as that of air at 200°C. (a) Should the PBR be placed upstream or downstream of the CSTR in order to achieve the highest conversion? Explain qualitatively using concepts you learned in Chapter 2. (b) What is the conversion exiting the last reactor? (c) What is the pressure at the exit of the packed bed?

The irreversible first-order (wrt partial pressure of A) gas-phase reaction A → B is carried out isothermally in a "fluidized" catalyic CSTR containing 50 kg of catalyst (Figure in margin).. Currently 50% conversion is realized for pure A entering at pressure of 20 atm. There is virtually no pressure drop in the CSTR. It is proposed to put a PBR containing the same catalyst weight in series with the CSTR. The pressure drop parameter for the PBR o. given by Equation (4-33) is a = 0.018 kg-¹. The particle size is 0.2 mm. the bed porosity is 40%, and the viscosity is the same as that of air at 200°C. (a) Should the PBR be placed upstream or downstream of the CSTR in order to achieve the highest conversion? Explain qualitatively using concepts you learned in Chapter 2. (b) What is the conversion exiting the last reactor? (c) What is the pressure at the exit of the packed bed?

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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**Question 1 - Fogler 4-18 a-d** The irreversible first-order (with respect to partial pressure of A) gas-phase reaction: \[ A \rightarrow B \] is carried out isothermally in a “fluidized” catalytic CSTR containing 50 kg of catalyst. Currently, 50% conversion is realized for pure A entering at a pressure of 20 atm. There is virtually no pressure drop in the CSTR. It is proposed to put a PBR containing the same catalyst weight in series with the CSTR. The pressure drop parameter for the PBR \(\alpha\), given by Equation (4-33), is \(\alpha = 0.018 \, \text{kg}^{-1}\). The particle size is 0.2 mm, the bed porosity is 40%, and the viscosity is the same as that of air at 200°C. **(a)** Should the PBR be placed upstream or downstream of the CSTR in order to achieve the highest conversion? Explain qualitatively using concepts you learned in Chapter 2. **(b)** What is the conversion exiting the last reactor? **(c)** What is the pressure at the exit of the packed bed? **(d)** How would your answers change if the catalyst diameter were decreased by a factor of 2 and the PBR diameter were increased by 50% assuming turbulent flow?
Transcribed Image Text:**Question 1 - Fogler 4-18 a-d** The irreversible first-order (with respect to partial pressure of A) gas-phase reaction: \[ A \rightarrow B \] is carried out isothermally in a “fluidized” catalytic CSTR containing 50 kg of catalyst. Currently, 50% conversion is realized for pure A entering at a pressure of 20 atm. There is virtually no pressure drop in the CSTR. It is proposed to put a PBR containing the same catalyst weight in series with the CSTR. The pressure drop parameter for the PBR \(\alpha\), given by Equation (4-33), is \(\alpha = 0.018 \, \text{kg}^{-1}\). The particle size is 0.2 mm, the bed porosity is 40%, and the viscosity is the same as that of air at 200°C. **(a)** Should the PBR be placed upstream or downstream of the CSTR in order to achieve the highest conversion? Explain qualitatively using concepts you learned in Chapter 2. **(b)** What is the conversion exiting the last reactor? **(c)** What is the pressure at the exit of the packed bed? **(d)** How would your answers change if the catalyst diameter were decreased by a factor of 2 and the PBR diameter were increased by 50% assuming turbulent flow?
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