
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: McGraw-Hill Education
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Transcribed Image Text:Problem 4.
We desire to produce cumene (C₂H₁2; let's call it C) from propylene (P) and benzene (B):
C3H6+ C6H6 → C9H12
In our preliminary design, a mixture of 95 mol% propylene and 5 mol% propane (an inert gas in this
process, so let's call it I) is blended with benzene at a molar ratio of 1.2 moles propylene to 1 mole
benzene. This combined "fresh feed" is mixed with two recycled streams, then fed to a reactor. At the
reactor conditions, the above reaction occurs, consuming 60% of the available benzene. However,
cumene is part of an unwanted side reaction that makes diisopropylbenzene (D):
C3H6+ C9H12 → C12H18
and 5% of the cumene generated by the first reaction is consumed by this side reaction.
The reactor effluent is cooled and sent to a multi-stage separation unit, which ultimately results in four
exit streams: a vapor stream containing propylene and propane, and three pure liquid streams, containing
benzene, cumene, and diisopropylbenzene. The vapor stream leaving the separator is split; 5% (by moles)
is purged from the system, and the rest is recycled to be mixed with the incoming feed stream. The
benzene stream leaving the separation unit is recycled, and cumene and diisopropylbenzene are separated
and sent to storage tanks. The cumene production rate is 25 mol/s.
(a) How much diisopropylbenzene is produced by this design? What is the required fresh feed flow
rate to this system?
(b) What is the overall conversion of propylene for this design?
(c) What is the "single pass" conversion of propylene just for the reactor in this design?
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