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(a) An irreversible gas phase reaction, 2A → B + C is carried out isothermally in a fixed bed reactor (ID = 0.05 m) using 1 g of Pt/y-Al2O3 catalyst. The reaction follows the first order rate law:-₁ = KC₁. Three batches of Pt/y- Al2O3 catalysts (Table 1) with different particle diameter (dp) and specific surface area (Sa) were investigated using the reactor. All particles were in spherical shape. Catalyst Catalyst-1 Catalyst-2 Catalyst-3 dp, m 0.007 0.005 0.003 (11) Table 1: Catalyst properties Sa, m² g-¹ 1000 1200 1500 -3 Density (pb), kg m-³ 80 95 150 Pure A is fed to the reactor under following conditions: P = 10 atm; T = 573 K; volumetric flowrate, vo = 0.006 m³s-¹. The intrinsic specific rate constant was reported as, k = 7.73x 10¹ s-¹. Under the above-mentioned conditions, the reaction was assumed to be mass-transfer controlled. (1) Estimate the values of internal and overall effectiveness factor for all catalysts. [20 Marks] [CO3, PO4, C6] Verify if the internal diffusion limits the reaction for all catalysts. [5 Marks] [CO3, PO4, C5]
(b) Design a reactor to produce 5.75 mol B s¹ using the catalyst with the highest overall effectiveness factor. The diameter of the reactor is same as in (a). The volumetric flow rate of A is increased to 0.06 m³s 1 while the feed pressure and temperature are kept as 10 atm and 573 K respectively. A pressure drop parameter (a) of 0.004 kg cat-¹ should be taken into consideration. Data: Diffusivity, DAR @573 K = 3.5 x 10-5, m²s-¹ -1 Kinematic viscosity, v @573 K = 2.8 x 10-5, m²s¹ Effective viscosity, De @573 K = 5.0 x 10-6, m²s-¹ Bed porosity, p = 0.4 [15 Marks] [CO3, PO4, C6]