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Problem 3 : CSTR vs . PBR for a catalyzed reaction You are given the rate equation, - rA = kA cA for the reaction

Problem 3: CSTR vs. PBR for a catalyzed reaction
You are given the rate equation, -rA= kA cA for the reaction A-> B. The inlet flow rate
is 200 mol/s of pure A. Pure A has a density of 500 kg/m3 and a molar mass of 500 g/
mol. The rate constant is 10-6 m/s. The reactor has a catalyst of surface area Sg of 5 m2/
g, and the catalyst density in the reactor is 30 kg/m3.
a. To achieve 40% conversion in an isothermal, steady-state, liquid phase CSTR,
what is the volume required? [0.9 m3]
b. What volume is required for the same conversion in an isothermal, steady-state,
liquid phase PBR?[0.7 m3]
c. What is the residence time in a CSTR vs. a PBR? Calculate a residence time with
units of catalyst weight/volumetric flow rate as well as the usual reactor
volume/volumetric flow rate. The former does not have the convenient units of
time, but physically expresses the residents time accurately in a reaction catalyzed
by a solid catalyst in a reactor. Explain in a single sentence, why the residence
time for the CSTR is different from the PBR.[CSTR =4.5 s,PBR =3.5 s,w,CSTR =130
kg*s/m3,w,PBR =100 kg*s/m3]
d. It is decided to decrease the residence time by a factor of 2 by doubling the flow
rates. What happens to the conversion in a PBR and CSTR. Support your
conclusions with calculations. [X =0.25]
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