Irreversible consecutive reactions A --> B --> C occur in

Chapter 2, Problem 2.10

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Irreversible consecutive reactions A --> B --> C occur in a jacketed, stirred-tank reactor as shown in Fig. E2.10. Derive a dynamic model based on the following assumptions: (i) The contents of the tank and cooling jacket are well mixed. The volumes of material in the jacket and in the tank do not vary with time. (ii) The reaction rates are given by r1 = k1e-E1/RTcA [=]mol A/h L r2 = k2e-E2/RTcs [=]mol B/h L (iii) The thermal capacitances of the tank contents and the jacket contents are significant relative to the thermal capacitances of the jacket and tank walls, which can be neglected. (iv) Constant physical properties and heat transfer coefficients can be assumed. Note: All flow rates are volumetric flow rates in Llh. The concentrations have units of moUL. The heats of reaction are !J.H1 and