Question

The exothermic reaction is carried out in given cooling jacketed CSTR. The heat released by the reaction is transferred from the tank wall to the fluid in the jacket by convection. The tank is mixed well. The temperature-dependent reaction rate expression


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Answer #1

Steps to be followed

1. Mass balance to prove F0 = F as volume of reactor is constant

2. Component balance of CA to get concentration profile, differential equation of CA concentration contains Temperature term which is variable hence need temperature profile

3. Energy balance equation to get temperature profile but differential equation is dependent upon CA as heat of reaction will change over course of reaction

4. both differential equation are interlinked concentration profile and temperature profile is interlinked

To to go - CA е те е To, ko Sc Cpc exothermic by the reaction reacion in ESTR. heat released & transferred to way. -0 concentration profile in CSIR = input - accumulation output a disappearance by in lum I CA VR - FO CAO - fca + (rm) v de (CTemperature profile ug up dr = rosu (to T) + -RG DHR VR - 2 (T-T) (p = 1.1 keal/kg k = 1000 kg/m3 Ve = m To =2936 1X1000 XH d

Both of this differential equation is interdependent equation as temperature is dependent on Concentration while concentration is dependent on temperature

but for solving we need to take steady state and but dCA/dt = 0 and dT/dt = 0

solution is regress and needs matlab as not possible to solve using calculator (it will exceed to 2 hours to write code and get graph)

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The exothermic reaction is carried out in given cooling jacketed CSTR. The heat released by the reaction is transferred from the tank wall to the fluid in the jacket by convection. The tank is mixed well. The temperature-dependent reaction rate expression
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