A company is looking to analyse the performance of a PFR, and would like to know which method is quick and relatively accurate. A homogeneous gas reaction takes place in a PFR in the presence of 1 mole of an inert molecule, with the following scheme: A → 3R At 215 °C it has been reported to have a reaction rate, and rate constant: K = 1 x 10-² [S-1] (-A) = KC⁰.5 [mol / litre second] You are tasked with finding the space time needed for a 80% conversion within this plug flow reactor operating at 215°C and 5 atm pressure when CA, = 0.0625 mol/litre. You need to demonstrate 1. A graphical approach to your solution. a. Plot a graph and estimate the space time. 2. A numerical approach to your solution a. Plot a graph and use an approximation method to solve for space time 3. An analytical approach to your solution. a. Solve the integration directly to solve for space time
A company is looking to analyse the performance of a PFR, and would like to know which method is quick and relatively accurate. A homogeneous gas reaction takes place in a PFR in the presence of 1 mole of an inert molecule, with the following scheme: A → 3R At 215 °C it has been reported to have a reaction rate, and rate constant: K = 1 x 10-² [S-1] (-A) = KC⁰.5 [mol / litre second] You are tasked with finding the space time needed for a 80% conversion within this plug flow reactor operating at 215°C and 5 atm pressure when CA, = 0.0625 mol/litre. You need to demonstrate 1. A graphical approach to your solution. a. Plot a graph and estimate the space time. 2. A numerical approach to your solution a. Plot a graph and use an approximation method to solve for space time 3. An analytical approach to your solution. a. Solve the integration directly to solve for space time
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
Related questions
Question
question 3 in imageee
![A company is looking to analyse the performance of a PFR, and would like to know which
method is quick and relatively accurate. A homogeneous gas reaction takes place in a PFR
in the presence of 1 mole of an inert molecule, with the following scheme:
A → 3R
At 215 °C it has been reported to have a reaction rate, and rate constant:
K = 1 x 10-² [S-1]
(-A) = KC⁰.5 [mol / litre second]
You are tasked with finding the space time needed for a 80% conversion within this plug flow
reactor operating at 215°C and 5 atm pressure when CA, = 0.0625 mol/litre.
You need to demonstrate
1. A graphical approach to your solution.
a. Plot a graph and estimate the space time.
2. A numerical approach to your solution
a. Plot a graph and use an approximation method to solve for space time
3. An analytical approach to your solution.
a. Solve the integration directly to solve for space time](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4ce285f-0e45-474f-8d31-62d81d91fa62%2F65146578-ec5f-42dc-88db-740361821c00%2F97xwhge_processed.png&w=3840&q=75)
Transcribed Image Text:A company is looking to analyse the performance of a PFR, and would like to know which
method is quick and relatively accurate. A homogeneous gas reaction takes place in a PFR
in the presence of 1 mole of an inert molecule, with the following scheme:
A → 3R
At 215 °C it has been reported to have a reaction rate, and rate constant:
K = 1 x 10-² [S-1]
(-A) = KC⁰.5 [mol / litre second]
You are tasked with finding the space time needed for a 80% conversion within this plug flow
reactor operating at 215°C and 5 atm pressure when CA, = 0.0625 mol/litre.
You need to demonstrate
1. A graphical approach to your solution.
a. Plot a graph and estimate the space time.
2. A numerical approach to your solution
a. Plot a graph and use an approximation method to solve for space time
3. An analytical approach to your solution.
a. Solve the integration directly to solve for space time
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The