A reactor is approximately modeled by the following set of differential equations: dCA = 0.01 F C -0.01 FCA - (0.08 + 0.001 T) CA = dt dT = 0.01F T: -0.01 F T +150 (0.08 +0.001 T) CA -0.03 F. (T T.) dt The temperature is measured by a nonlinear sensor with output in mV y(t) = 100 T(t-1)/(1000 + T(t-1)] and it is controlled by adjusting the coolant flow rate Fc. The following nominal values (in consistent units) are given: F. = 10 (L/s) Cafo = 1.5 (mol/L) Tfo = 295 (K) Tc = 295 (K) yo = 24.24 (mV) - (a) Calculate the transfer function GF(s) between the F and y. (6) Calculate the transfer function GE(s) between Fc and y