2. The transfer function between the reflux and temperature of vapour leaving top tray of a distillation column is given as T(S) 3 (2) Fr(s) 3.1s +1 where Tt and Fr are the temperature of vapour leaving top tray and reflux flowrate, respectively. The temperature sensor that is used to measure the vapour temperature is not located directly above the tray but rather some distance away. It is determined that the vapour traveling" time from the tray to the sensor is about 10sec. The temperature sensor, which has relatively slow dynamics, is given as: T(S) (3) T(s) 1.2s +1 where 1 is the sensor measurement of vapour temperature. a. Without generating the response plot, determine the steady state value of the measured vapour temperature when the reflux is subjected to a unit step change