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 Croft) 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_0 F + 2kC A, C,0 = k/s + CX(t) where C,0)=CAS di V Showing all steps, derive equations for the time constant and all of the gain factors for this process at concentration CASE Note: you need not derive the ODE shown above. You may assume it is correct. -] ) 4.S 17