Question 3 Suppose the energy balance for non-isothermal continuous stirred tank reactor (CSTR) with a cooling jacket is given by: d(v PC, (T-Tref)) = F" PC, (T" - Tre)- Fou pc pCp (Tut Tref)+14- 0.ool (2) dt where r=-AH k, exp - - E VC RT (3) Q.co01 = UA, (T-T;) (4) cool Assume that the CSTR has constant volume and perfect mixing, respectively. Determine the transfer function model for T/F. Given the following parameters and the analyzer transmitter transfer function (Gm), T= 395 K, C = 0.31654 kmol/m, p=1.0x106 g/m, U =11.3 kW/( mK), T = 323 K AH =-1.15x10 cal/kmol, F = 0.1 m/min, A, = 32 m, T, = 386 K, Co=1.35 cal/(K), V = 2.1 m, E = 8500 K, Trier = 298 K ko = 1.0x100 min-1 Gm(s)=0.97e-0.728: estimate the value of Keu that will generate marginally stable control response based on the Bode Diagram. Please include the Bode Diagram in your submission. [25 Marks]