Cooling medium T. 92 T2 V2 T2 Vị T1 91 leelle
A closed stirred-tank reactor with two compartmentsis shown in Fig. The basic idea is to feed the reactants continuously into the first compartment, where they will be preheated by energy liberated in the exothermic reaction,which is anticipated to occur primarily in the second com-partment. The wall separating the two compartments is quite thin, thus allowing heat transfer; the outside of thereactor is well insulated; and a cooling coil is built intothe second compartment to remove excess energy liberated inthe reaction. Both tanks are completely full at all times.Tests are to be conducted initially with a single-component feed (i.e., no reaction) to evaluate the reactor’s thermalcharacteristics.(a)Develop a dynamic model for this process under the conditions of no reaction. Assume that q0,Ti,andTc all may vary.(b)Make a degrees of freedom analysis for your model—identifying all parameters, outputs, and inputs that must beknown functions of time in order to obtain a solution.(c)In order to estimate the heat transfer coefficients, the reac-tor will be tested withTi much hotter than the exit tempera-ture. Explain how your model would have to be modified to account for the presence of the exothermic reaction. (For pur-poses of this answer, assume the reaction is A→B and be asspecific as possible.).Ut,At: Overall heat transfer coefficient and surface area between compartments. Uc,Ac: Overall heat transfer coefficient and surfacearea of cooling tube. V1:Volume of Compartment 1. V2:Volume of Compartment 2
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