3. (35 points) The following first-order reaction is taking place in a PBR. AB The reaction rate and the rate constant are given by: rA=kPAkgcat-hmolk=0.75atmKgcathmol A is fed to the reactor with 50% inerts at 327C and 1 atmosphere. Feed rate of A is 37.5 moles /h. The pressure drop parameter =0.0045kg1. Obtain an expression that relates the conversion in the reactor to the weight of the catalyst used. State your assumptions. What conversion can you obtain with 100kg of the catalyst