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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really stuck on these questions i dont have any time conversation data I'd really appreciate a clear step by step on how the answer is reached. thank you

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
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
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