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1. (Book 2.8) A jacketed vessel is used to cool a process stream as shown in Fig. E2.8. The following information is available: (i) The volume of liquid in the tank V and the volume of coolant in the jacket V, remain constant. Volumetric flow rate qp is constant, but q, varies with time. (ii) Heat losses from the jacketed vessel are negligible. (iii) Both the tank contents and the jacket contents are well mixed and have significant thermal capacitances (iv) The thermal capacitances of the tank wall and the jacket wall are negligible. (v) The overall heat transfer coefficient for transfer between the tank liquid and the coolant varies with coolant flow rate: = K where U [=] Btu/h ft F 9, [=] ft /h K = constant Derive a dynamic model for this system. (State any additional assumptions that you make.) Ty 9F T, 9 T 9 V Figure E2.8