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Continuous Stirred Tank Reactors Equation: Unexpected Trend

reactor rate convertion plotting sizing of reactors

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#1 Molibdeno

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Posted 06 August 2022 - 04:05 PM

A generic reagent A is considered. The behavior equations of a CSTR is the following:

lVO2DDq.jpg
 
where tau it is the filling time, cA,0 is the initial concentration of A, and XA and it is the conversion of A we want obtain
 
From Octave Levenspiel, Chemical Engineering Reaction, John Wiley & Sons, Third Edition, page 95, you can see how the graph 1/-r = f(X) has the shape of a crescent function. I tried to reproduce this graph, using
 

v1w6iPT.jpg

and that's what I get
 
 IThhe.jpg
 
My question is: to be able to reproduce the graphic in the text, which formula should I use?


Edited by Molibdeno, 06 August 2022 - 05:45 PM.


#2 Pilesar

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Posted 06 August 2022 - 06:30 PM

Your question as represented seems incomplete. Did you leave out a portion necessary for our understanding? You also supply a picture of a graph with no axes labelled. Which graphic in the text are you trying to reproduce?



#3 Molibdeno

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Posted 06 August 2022 - 06:53 PM

Your question as represented seems incomplete. Did you leave out a portion necessary for our understanding? You also supply a picture of a graph with no axes labelled. Which graphic in the text are you trying to reproduce?

I need to report in a graph the value of 1/-rA  = f(XA) since it is possible to graphically obtain the ratio tau/cA,0 necessary to obtain the desired conversion of A. The graph I need is this: 
55b1H.jpg

but what I get using  v1w6iPT.jpg is this:

 

JmeziNJ.jpg

 

with tau = 2 and cA,0 = 3.

My reasoning is this: if the behavior equation of the CSTR is  lVO2DDq.jpg, so 1/-r = f(XA) is v1w6iPT.jpg.Of course, there is something wrong if the two graphs are not the same


Edited by Molibdeno, 06 August 2022 - 06:58 PM.


#4 Pilesar

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Posted 06 August 2022 - 10:07 PM

If your horizontal axis shows the fraction of component 'A' converted, how can this value be greater than one?



#5 breizh

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Posted 06 August 2022 - 11:00 PM

Hi,

Consider these resources to support your work:

http://home.ku.edu.t...2-Chapter_2.pdf

 

https://ocw.snu.ac.k...s/NOTE/7225.pdf

 

Good luck

Breizh



#6 latexman

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Posted 07 August 2022 - 08:27 PM

You are on the wrong track using the solution of the CSTR to get the line in the graph. The line in the graph comes from the kinetic model/equation.




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