Acetic acid anhydride needs to be hydrolyzed in a continuously operating cascade reactor consisting of four identical stirred tank reactors (CSTRs). The hydrolysis reaction is assumed to follow first-order kinetics in diluted aqueous solutions. a) How large should the CSTRs be to achieve a conversion of 95% at the outlet of the cascade when all the reactors operate at 15°C? [10 marks] b) How large should the CSTRs be to achieve the same conversion when all the reactors operate at 40°C? [3 marks] c) How large should be the CSTRs to achieve the same conversion if the first reactor operates at 10°C, the second one at 15°C, the third at 25°C, and the fourth at 40°C? [12 marks] Input volumetric flow rate of 90 L min-1 is used for all cases. The rate constant has the following values at the given temperatures: T (degrees) : 10 /15/25/40 k(min^-1) : 0.0567/0.0806/0.1580/0.3800

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
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Acetic acid anhydride needs to be hydrolyzed in a continuously
operating cascade reactor consisting of four identical stirred tank
reactors (CSTRs). The hydrolysis reaction is assumed to follow
first-order kinetics in diluted aqueous solutions.
a) How large should the CSTRs be to achieve a conversion of
95% at the outlet of the cascade when all the reactors operate at
15°C?
[10 marks]
b) How large should the CSTRs be to achieve the same
conversion when all the reactors operate at 40°C?
[3 marks]
c) How large should be the CSTRs to achieve the same
conversion if the first reactor operates at 10°C, the second one
at 15°C, the third at 25°C, and the fourth at 40°C?
[12 marks]
Input volumetric flow rate of 90 L min-1
is used for all cases.
The rate constant has the following values at the given
temperatures:

T (degrees) : 10 /15/25/40

k(min^-1) : 0.0567/0.0806/0.1580/0.3800

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