The exothermic elementary liquid-phase reaction (Rawlings and Ekerdt, E6.1) A +B → C r = KCĄCB is carried out in a batch reactor equipped with a cooling coil. The reactor is initially charged with equal concentrations of A and B at 300K, and both of their concentrations are 2.0 mol/L. Additional Data: ko = 0.01725 L/mol/min at 300K (= EA/R= 2660 K (: (= (= AHren = -10 kcal/mol of A at 300K CPA = 20 cal/mol/K CPB = 20 cal/mol/K (= CPC = 40 cal/mol/K (= VR = 1200 L (: Assume that the reactor operates with a heat exchanger and that the temperature of the heat transfer fluid is constant at 300K. The batch is ruined if the temperature in the reactor exceeds 350K during the run. 1. What value of heat transfer coefficient multiplied by the area-to-volume ratio (Ua) should your design achieve so that this temperature is not exceeded? 2. How long does it take to reach 95% conversion with this design? 3. Suggest a strategy for operating the reactor if vou want to speed things up but cannot violate the 350K limit

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
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The exothermic elementary liquid-phase reaction (Rawlings and Ekerdt, E6.1)
A +В — С
r =
KCĄCB
is carried out in a batch reactor equipped with a cooling coil. The reactor is initially charged with equal concentrations of A and B at 300K, and both of their concentrations are 2.0 mol/L.
Additional Data:
ko = 0.01725 L/mol/min at 300K
(1)
EA/R= 2660K
AHren = –10kcal/mol of A at 300K
СРА 3 20 сal/mol/K
CPB = 20 cal/mol/K
(1)
(1)
(1)
(1)
CPC = 40 cal/mol/K
(1)
VR = 1200L
(1)
Assume that the reactor operates with a heat exchanger and that the temperature of the heat transfer fluid is constant at 300K. The batch is ruined if the temperature in the reactor exceeds 350K during
the run.
1. What value of heat transfer coefficient multiplied by the area-to-volume ratio (Ua) should your design achieve so that this temperature is not exceeded?
2. How long does it take to reach 95% conversion with this design?
3. Suggest a strategy for operating the reactor if you want to speed things up but cannot violate the 350K limit.
Transcribed Image Text:The exothermic elementary liquid-phase reaction (Rawlings and Ekerdt, E6.1) A +В — С r = KCĄCB is carried out in a batch reactor equipped with a cooling coil. The reactor is initially charged with equal concentrations of A and B at 300K, and both of their concentrations are 2.0 mol/L. Additional Data: ko = 0.01725 L/mol/min at 300K (1) EA/R= 2660K AHren = –10kcal/mol of A at 300K СРА 3 20 сal/mol/K CPB = 20 cal/mol/K (1) (1) (1) (1) CPC = 40 cal/mol/K (1) VR = 1200L (1) Assume that the reactor operates with a heat exchanger and that the temperature of the heat transfer fluid is constant at 300K. The batch is ruined if the temperature in the reactor exceeds 350K during the run. 1. What value of heat transfer coefficient multiplied by the area-to-volume ratio (Ua) should your design achieve so that this temperature is not exceeded? 2. How long does it take to reach 95% conversion with this design? 3. Suggest a strategy for operating the reactor if you want to speed things up but cannot violate the 350K limit.
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