3. (40 points) A tracer study was conducted on a reactor using pulse input. It was observed that the effluent from the reactor can be described accurately using the following two mathematical curves, where t is in hours: c=2(e -1) =1.8954(e) for 0t2 for 21% a. Develop two equations that describe f(t) for the two ranges of time. b. Compute i. c. Compute the conversion of A in the effluent if A decays at a first order rate with a first order reaction rate constant of 0.8/hr.*