Consider two CSTRs coupled in series. They are connected by a very long pipe, where only the transport phenomenon occurs. Determine the transfer function for the transfer path C Ai to C A1 and to CA2....

Consider two CSTRs coupled in series. They are connected by a very long pipe, where only the transport phenomenon occurs. Determine the transfer function for the transfer path C_Ai
to C_A1
and to CA2. The following data are given: reactors’ inlet and outlet equal flow rates Fi = F1 = F2 = 2 m3/h, interior diameter of the connecting pipe d_c
= 20 mm, length of pipe l_c
= 150 m, volumes of the reactors V₁
= V₂
= 0.3 m³, reaction rate constant in both reactors k = 0.005 s⁻¹. Plot the Bode diagrams of the system.