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QUESTION 3: (20 Marks) The ethanol dehydration process was carried out in a reactor for 5 years of operation. An engineer suspected that the performance of the reactor is having deactivation as the time prolonged. Therefore, a tracer run was run by injecting a sample of the tracer at 600 K as pulse to a reactor, and the effluent concentration was measured as a function of time, resulting in the data shown in Table 1 TE() Table 1: Response to the pulse input Time, t (min) Tracer concentration ED (min) in effluent, C (dm) 0 0.00000 1 0.00138 3 0.00413 7.4 0.01019 9.4 0.01294 8.2 0.01129 120 5 0.00688 145 2.5 0.00144 170 0 0 0.0000 0.0344 0.2065 0.7641 1.1001 1.0725 0.8261 0.4991 0 (a) Calculate the mean residence time, te (5 Marks) (b) Calculate the variance, o for the reactor characterized by the RTD. (8 Marks) (e) Calculate the standard devation. (2 Marks) (d) Determine the fraction of materials leaving the reactor that spent 50 mins or less in the reactor (3 Marks) (c) Estimate the volume of the reactor system if the volumetric flow rate is known to be 8.56 min (2 Marks)