4. (25 points) Consider a constant temperature CSTR where a second order reaction occurs. The following parameters are constant: volumetric flow rate F into the reactor, reactor volume V, and temperature T. The inlet concentration is CAD(t) and the reactor outlet concentration is CA(t). A species balance yields an ODE that describes concentration of species A in the tank as a function of time. When that ODE is linearized, it has the form: dC,(1) + [# +2kC As ] C (0) = KC + EC(0) A.S k A.S dt where C(0)=CAS Showing all steps, derive equations for the time constant and all of the gain factors for this process at concentration C4,8 Note: you need not derive the ODE shown above. You may assume it is correct