Develop an unsteady-state model for a stirred batch
Chapter 22, Problem 22.9(choose chapter or problem)
Develop an unsteady-state model for a stirred batch reactor, using the nonlinear continuous reactor model presented in Example 4.8 as a starting point. For the parameter values given below, compare the dynamics of the linearized models of the batch reactor and the continuous reactor, specifically the time constants of the open-loop transfer function between cA. and T~, the concentration of A, and the jacket temperature, respectively. Assume constant physical properties and the following data: Initial steady-state conditions and parameter values for the continuous case are T = 150 F, CAi = 0.8 mol/ft3, q = 26 ft3/min, kJ UA = 142.03 ~F' V = 1336 ft3, Tc = 77 F mm Vl Acid feed The physical property data are C = 0.843 Btu!lb F, p = 52lb/ft3, -b.HR = 500 kJ/mol. The reaction rate is first order with a rate constant (in min-1) k = 2.4 X 1015 e-ZO,OOOIT(TinR). For the batch case, linearize the model around T = T.
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