Consider two consecutive reactions: A▬▬>BP, where A is the reactant, B is the interme- diate product, and P is the final product. Both reactions are of first order, and they are characterized by the rate coefficients k₁ = 0.01 s-1 and k₂ = 0.005 s-1, respec- tively. The first reaction requires heat to take place, whereas the second reaction is facilitated by UV light irradiation. The first process is designed to take place in a continuous stirred tank reactors (CSTR) and the second process in a tubular reac- 154 V₁ (1) (1) V2/Acs (2) (2) B tor. Both reactors are connected in series. The CSTR is heated and the tubular reactor is irradiated with UV, so that all conversion of A to B takes place in, and is limited to the CSTR, and all conversion of B to P takes

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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Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Consider two consecutive reactions:
A-k
BP,
where A is the reactant, B is the interme-
diate product, and P is the final product.
Both reactions are of first order, and they
are characterized by the rate coefficients
k₁ 0.01 s-1 and k₂ = 0.005 s-1, respec-
tively. The first reaction requires heat to
take place, whereas the second reaction is
facilitated by UV light irradiation. The
first process is designed to take place in a
continuous stirred tank reactors (CSTR)
and the second process in a tubular reac-
t
154
12), C (1)
', ü
V₂/Acs
(2) (2)
,u
tor. Both reactors are connected in series. The CSTR is heated and the tubular reactor is irradiated with UV,
so that all conversion of A to B takes place in, and is limited to the CSTR, and all conversion of B to P takes
1
place in, and is limited to the tubular reactor. The CSTR has a capacity of 200 liters, and the tubular reactor
has a capacity of 50 liters. (The length L and cross-sectional area Acs of the tubular reactor are irrelevant for
the analysis, as long as its volume is known.) The continuous flow rate across both reactors is 0.1 1/s. The
flow pattern in the tubular reactor can be assumed as ideal plug flow. The concentration of A in the stream
coming into the first CSTR is co₁ = 12 mol/l. This stream contains neither B nor P.
Derive the expression for
a) the yield, Y, of this process in terms of the actual amount of P produced compared the maximum
possible amount that can be produced, and
b) the production rate of the process.
First derive all expressions using symbols for the variables. Only as the final operation, calculate the numerical
values of these two quantities with the above parameters.
Transcribed Image Text:Consider two consecutive reactions: A-k BP, where A is the reactant, B is the interme- diate product, and P is the final product. Both reactions are of first order, and they are characterized by the rate coefficients k₁ 0.01 s-1 and k₂ = 0.005 s-1, respec- tively. The first reaction requires heat to take place, whereas the second reaction is facilitated by UV light irradiation. The first process is designed to take place in a continuous stirred tank reactors (CSTR) and the second process in a tubular reac- t 154 12), C (1) ', ü V₂/Acs (2) (2) ,u tor. Both reactors are connected in series. The CSTR is heated and the tubular reactor is irradiated with UV, so that all conversion of A to B takes place in, and is limited to the CSTR, and all conversion of B to P takes 1 place in, and is limited to the tubular reactor. The CSTR has a capacity of 200 liters, and the tubular reactor has a capacity of 50 liters. (The length L and cross-sectional area Acs of the tubular reactor are irrelevant for the analysis, as long as its volume is known.) The continuous flow rate across both reactors is 0.1 1/s. The flow pattern in the tubular reactor can be assumed as ideal plug flow. The concentration of A in the stream coming into the first CSTR is co₁ = 12 mol/l. This stream contains neither B nor P. Derive the expression for a) the yield, Y, of this process in terms of the actual amount of P produced compared the maximum possible amount that can be produced, and b) the production rate of the process. First derive all expressions using symbols for the variables. Only as the final operation, calculate the numerical values of these two quantities with the above parameters.
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