Please solve accurately thank you! Problem 2: External Mass Transfer Limitations in a PBR The irreversible gas-phase reaction A B is carried out in an isobaric PBR packed with catalyst particles. The reaction is first order in the concentration of A on the catalyst surface: -r AS = kCAS The feed consists of 50 mol % A and 50 mol% inert and enters the reactor at a temperature of 300K.

The entering volumetric flow rate is 10 L/s. The relationship between the Sherwood number and the Reynolds number is: Sh = 100 Re1/2

The entering concentration of A is 1.0 M. Assume that the reaction is external mass transfer limited.

a. If the reactor is operating isothermally, what is the catalyst weight necessary for 60% conversion of A? [900 kg]

b. If the reaction is operating adiabatically, what is the catalyst weight necessary for 60% conversion of A? [500 kg]

Additional information: Kinematic viscosity: 0.02 cm 2/s Particle diameter: 0.1 cm Superficial velocity: 10 cm/s Catalyst surface area/mass of catalyst bed: 60 cm 2/g cat Diffusivity of A: 0.01 cm 2/s Heat of reaction: -10000 cal/mol A Heat capacity of A: 25 cal/(mol K) Heat capacity of B: 25 cal/(mol K) Heat capacity of inerts: 75 cal/(mol K) k at 300K = 0.01 cm3/(g cat *s) E = 4000 cal/mol