FA input 1. a liquid-phase, exothermic reaction AB takes place in a continuous, stirred tank reac- tor, the following set of coupled ODEs is a [lin- earized) dynamic model for the concentration of A, [A]* = (Al*(t), and temperature, T = T'(t), in the reactor (both in deviation form). the input to this system is the feed rate of A, F = F(t). [A],T outputs d[A]" 8[A]* - 4T* + F dt dT dt = [A]-T draw a casual loop diagram showing how the input affects the two ouputs and each other. derive the transfer function relating the response of the temperature T (one of the "output"s) to changes in the feed rate FA (the "input), hint: take the Laplace transform of both equations eliminate L{(Al"(t)} from one of the equations .. solve for L{T"(t)} in terms of L{F(t)}