Question 3 - Derivations For the series of elementary reactions A R S Occurring in a PFR, with rate constants k₁ and k2, respectively. For k₁ = K₂: 1) Show that CR = k₁TCAе-k₁t 2) Derive the optimum space time Topt and (CR/CA0)max
Question 3 - Derivations For the series of elementary reactions A R S Occurring in a PFR, with rate constants k₁ and k2, respectively. For k₁ = K₂: 1) Show that CR = k₁TCAе-k₁t 2) Derive the optimum space time Topt and (CR/CA0)max
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 3 – Derivations**
For the series of elementary reactions:
\[ A \rightarrow R \rightarrow S \]
occurring in a Plug Flow Reactor (PFR), with rate constants \( k_1 \) and \( k_2 \), respectively.
For \( k_1 = k_2 \):
1) Show that \( C_R = k_1 \tau C_{A0} e^{-k_1 \tau} \)
2) Derive the optimum space time \( \tau_{opt} \) and \((C_R/C_{A0})_{max}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8dbff956-e43c-48ff-b648-b98fd3ab1747%2Ff4cb35ae-1c46-4a3f-b5b0-f73a06f96c85%2F66artjm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3 – Derivations**
For the series of elementary reactions:
\[ A \rightarrow R \rightarrow S \]
occurring in a Plug Flow Reactor (PFR), with rate constants \( k_1 \) and \( k_2 \), respectively.
For \( k_1 = k_2 \):
1) Show that \( C_R = k_1 \tau C_{A0} e^{-k_1 \tau} \)
2) Derive the optimum space time \( \tau_{opt} \) and \((C_R/C_{A0})_{max}\)
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