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The Ideal Gas Company has built a stirred-tank chemical reactor with a paddle-type agitator. Dr. A. Quirk, head of the Chemical Kinetics and Reactor Design Group, is attempting to determine why his...

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The Ideal Gas Company has built a stirred-tank chemical reactor with a paddle-type agitator. Dr. A. Quirk, head of the Chemical Kinetics and Reactor Design Group, is attempting to determine why his group is unable to duplicate results obtained earlier with a bench-scale reactor. Some mixing tests performed with a chemical tracer show that circulation is set up in both the top and bottom parts of the reactor and that there is relatively little exchange of material between the two sections, as shown in part (a) of Figure.
I. M. Appelpolscher, head of the Systems Group, thinks that the reactor may be inadequately baffled. He asks you to write a set of equations (model) that describe transient changes in the outflow tracer concentration as a function of inflow tracer concentration (constant volume and no reaction)1 assuming that the reactor can be modeled as two separate tanks, each perfectly stirred, as in part (b) of Figure. State all additional assumptions, identify all variables, and report to Appelpolscher which parameters in your model will have to be obtained from physical experiments on the full-scale reactor

Answered Same Day Dec 31, 2021

Solution

Robert answered on Dec 31 2021
106 Votes
CSTR REACTORS-
In this type of reactor - at steady state-
Input = output + disappearance by reaction + accumulation ----(1)
Here accumulation =0
If Fao = vo.Cao = molar feed rate of component A to the reactor ,
then considering the reactor as a whole ,we have
Input of A , moles /time = Fao (1-Xao)= Fao
Output of A , Moles /time = Fa = Fao (1-Xa)
Disappearance of A by reaction , mole/time = ( -ra.).V = [ Moles A reacting]/( time *
volume of fluid ) *( volume of reactor)
Introducing these three terms into equation (1)-
Fao .Xa = (-ra).V
Which is after rea
anging -
V/Fao = Ԏ/Cao = ΔXa/-ra = x/-ra ---(2)
ÔŽ= 1/s = V/vo= V.Cao /Fao = Cao .xa/-ra ---- (3)
Any ϵ= 0 , where xa and ra are measured at extreme at exit stream conditions, which are the
same as the conditions within the reactor.
More generally , if the feed on which conversions is based ,subscript 0 ,enters the reactor
partially converted , ,subscript I , and leaves at conditions given by subscript f, we have -
V/Fao = Δx/(-ra)f = xaf -xai /( -ra)f...
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