. An exothermic reaction, A- B, takes place adiabatically in a stirred tank reactor. The liquid reaction occurs constant volume in a 1000-gallon reactor. The reaction can be considered first order and irreversible with the rate constant given by k-1015e(min-1). -20000 Derive a transfer function relating the exit temperature, T, to the inlet concentration Ca State any assumptions that you make. flowrate q? Steady State Conditions:-150°F,4,-08쁩.q = 20 au (in and out of the reactor) Physical Constants: C'e 0.8 mu,pe 52th,-AHR-500 mol a. b. How sensitive is the gain to changes in steady-state T, Cai and volumetric mol gal minute k)

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2. An exothermic reaction, A- B, takes place adiabatically in a stirred tank reactor. The liquid reaction occurs constant volume in a 1000-gallon reactor. The reaction can be considered first order and irreversible with the rate constant given by k-1015e(min-1). -20000 Derive a transfer function relating the exit temperature, T, to the inlet concentration Ca State any assumptions that you make. flowrate q? Steady State Conditions:-150°F,4,-08쁩.q = 20 au (in and out of the reactor) Physical Constants: C'e 0.8 mu,pe 52th,-AHR-500 mol a. b. How sensitive is the gain to changes in steady-state T, Cai and volumetric mol gal minute k)
2. An exothermic reaction, A→ B, takes place adiabatically in a stirred tank reactor.
The liquid reaction occurs constant volume in a 1000-gallon reactor. The reaction
can be considered first-order and irreversible with the rate constant given by:
-20000
k = 1015e T (min 1).
a. Derive a transfer function relating the exit temperature, T, to the inlet
concentration Ca State any assumptions that you make.
b. How sensitive is the gain to changes in steady-state T, CAi, and volumetric
flowrate q?
%3!
Steady State Conditions: T = 150°F, Ĉ, , = 0.8mol
%3D
20
minute
gal
(in and out of the reactor)
BTU
k]
Physical Constants: C = 0.8
Ib F
ip= 52,-AHR = 500 –
mol
Transcribed Image Text:2. An exothermic reaction, A→ B, takes place adiabatically in a stirred tank reactor. The liquid reaction occurs constant volume in a 1000-gallon reactor. The reaction can be considered first-order and irreversible with the rate constant given by: -20000 k = 1015e T (min 1). a. Derive a transfer function relating the exit temperature, T, to the inlet concentration Ca State any assumptions that you make. b. How sensitive is the gain to changes in steady-state T, CAi, and volumetric flowrate q? %3! Steady State Conditions: T = 150°F, Ĉ, , = 0.8mol %3D 20 minute gal (in and out of the reactor) BTU k] Physical Constants: C = 0.8 Ib F ip= 52,-AHR = 500 – mol
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