The following reactions are taking place in a 2000 L liquid phase batch reactor that has a heat exchanger inside with UA= 120 cal/s-K and the coolant flow rate was at its maximum value so that exchanger temperature, Tat (enter) Taz (leave) = T = 400 K. A + 2BC -T1A=KACAC 3C+24 24 D -T2A = K2ACACE B+3CE -T3c=kacCBCC The initial temperature is 450 K, and the initial concentrations of A, B and C are 1.0, 0.5 and 0.2 mol/dm, respectively. Additional information: As a first approximation, assume all heats of reaction are constant (i.e., ACPy=0) Specific reaction rates at 450 K are (dm K=1 x 10-3 mol 1 KA x 10- (dm) mol (dm mol 31 871 CPA =10 cal/mol K = 10 cal/mol K CPR CPC . Co= 80 cal/mol K = 50 cal/mol K CPE . = 50 cal/mol K kac=0.6 x 10-3 AHRX18-5,000 cal/mol AHRX2C = +10,000 cal/mol AHR38 = -50,000 cal/mol (a) What is the value of Qr at t=0? (5 marks) (b) What is the value of Qg at t=0? Is there any possibility that the reactor will run away? Explain. (12 marks) (c) Write and evaluate the parameters in the equations required for plotting the temperature of A, B and C as a function of reaction time. (8 marks) Multiple reactions (q reactions and n species): dT Qg-Qr EN Cpi dt where Qp = TVAHRX(T)-FioCp (T T.) i=1 Qr=UA (T-T)