Irreversible consecutive reactions A ? B ? C occur in a jacketed, stirred-tank reactor as shown in Figure. 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 arid in the tank do not vary with time. (ii) The reaction rates are given by

(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 arc volumetric flow rates in L/h. The concentrations have units of mol/L. The heats of reaction are ?H1 and ?H2.

7n = kie-EiRTCA(=] mol A/h L 72 = kze-FaRTCA [-] mol B/h L