The possibility is being investigated of changing the size of the near-spherical catalyst pellets used in a fixed bed tubular reactor in which an irreversible first order reaction is taking place. The pellets currently in use are 4x10° m in diameter and Thiele's modulus for these is known to be 3.0. Temperature gradients within them are negligible. It is proposed to change these to pellets which are 1 mm in diameter but whose properties are otherwise identical. Calculate the ratio of the apparent first order rate constant with the modified pellets to that with the original pellets. A table giving effectiveness factor (ns1) as a function of os1 over part of the relevant range is given below:

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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Question 5
The possibility is being investigated of changing the size of the near-spherical catalyst
pellets used in a fixed bed tubular reactor in which an irreversible first order reaction
is taking place. The pellets currently in use are 4x10° m in diameter and Thiele's
modulus for these is known to be 3.0. Temperature gradients within them are
negligible. It is proposed to change these to pellets which are 1 mm in diameter but
whose properties are otherwise identical.
Calculate the ratio of the apparent first order rate constant with the modified pellets
to that with the original pellets.
A table giving effectiveness factor (Ns1) as a function of os1 over part of the relevant
range is given below:
2.6
2.8
3.0
3.2
3.4
3.6
3.8
Nsi
0.722
0.696
0.672
0.647
0.624
0.603
0.583
Transcribed Image Text:Question 5 The possibility is being investigated of changing the size of the near-spherical catalyst pellets used in a fixed bed tubular reactor in which an irreversible first order reaction is taking place. The pellets currently in use are 4x10° m in diameter and Thiele's modulus for these is known to be 3.0. Temperature gradients within them are negligible. It is proposed to change these to pellets which are 1 mm in diameter but whose properties are otherwise identical. Calculate the ratio of the apparent first order rate constant with the modified pellets to that with the original pellets. A table giving effectiveness factor (Ns1) as a function of os1 over part of the relevant range is given below: 2.6 2.8 3.0 3.2 3.4 3.6 3.8 Nsi 0.722 0.696 0.672 0.647 0.624 0.603 0.583
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