Problem #2 (50 pts) You need to run the 1st order catalytic reaction in porous catalyst particles A>B(-1" =k,C.) You have four spherical catalyst particles (radius 3mm) to choose from, the properties of which are summarized in the table below. The reactant concentration at particle external surface is 1 mol/L. Rate constant k (m/s) Catalyst I Catalyst II Catalyst III Catalyst IV 5x10-12 5x 10-12 5x10-12 5x10-12 Density PC (g/cm) 2.8 2.8 2.8 2.8 Surface area S. (mg) 530 530 530 530 Diffusivity D (cm/s) 1x10-8 1x10 1x10-6 1x10-5 (1) Calculate the Thiele modulus and internal effectiveness factor in catalyst I, II, III, and IV (2) Which catalyst will you choose to run the reaction? Why? (3) Calculate concentration profiles C (r)~r inside catalyst particle I, II, III, and IV and plot in the graph below. Show all calculation steps. 1.0 - 0.8 - 0.6 CA() (mol/L) 0.4 r= R (particle external surface) 0.2 r = 0 (center of particle) 0.0 0.0000 0.0005 0.0010 0.0015 0.0020 0.0025 0.0030