Process Modeling and Simulation: CH4023 Mahinsasa NarayanaPage 1 Tutorial 2A nonisothermal continuous stirred-tank reactor is shown in the figure. Pure A is feed into the reactor and mixture of A and B is emitted. Jacket temperature (Tj) is controlled critically at constant temperature of 298K. Figure 1: A nonisothermal continuous stirred-tank reactor Reaction:A B Assumptions Pure A in feed Perfect mixing Negligible heat losses Constant properties (r, Cp, H, U) Constant cooling jacket temperature (Tj) Constitutive relations Reaction rate/volume:rA = kcA = [k0 exp(-E/RT)]CA Heat transfer rate:Q = UA(Tj-T) Process Modeling and Simulation: CH4023 Mahinsasa NarayanaPage 2 Parameter values k0 = 3.493x1010 h-1, E = 11843 kcal/kmol, (-H) = 5960 kcal/kmol, Cp = 500 kcal/m3/K UA = 150 kcal/h/K, R = 1.987 kcal/kmol/K, V = 1 m3, q =1 m3/h, CAi = 10 kmol/m3,Ti=298K, Tj = 298K,Initial condition in the reactor: T0=298K, CA0 = 7 kmol/m3 and CB0 = 3 kmol/m3

Problem:(a) Develop a dynamic model to evaluate variation of CA, CB and T.(b) Find the three steady-state points ) and , ( T C CB A (c) In the reactor, CA is decreasing and CB is increasing. Initially, CA>CB and then evaluate time periods for CA=CB.