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2. Consider the vapor-phase catalytic reaction in an isothermal packed bed reactor: 2AB The reaction is taking place at 500 K over a 15-meter-long pipe

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2. Consider the vapor-phase catalytic reaction in an isothermal packed bed reactor: 2AB The reaction is taking place at 500 K over a 15-meter-long pipe packed with catalyst. The flow and packed-bed conditions are shown below: Entering volumetric flow rate: Vo = 0.05 m/s Catalyst pellet size: D, = 0.010 m Solid catalyst density: P = 1870 kg/m3 Cross-sectional area of pipe: A = 0.005 m2 Superficial mass velocity: G = 0.0025 kg/m2.s Void fraction: 0 = 0.25 Initial gas density: po = 2.15 kg/m Initial pressure: P. = 500,000 Pa Viscosity: u = 0.12 kg/m's The entering concentration of A to the reactor is 0.3 kmol/m and the rate law is: mo -r' A = k'C with k' = 0.003 kmol kg cats a. Calculate the extent, 5, and conversion, XA, at the exit of the packed bed reactor assuming no pressure drop. b. Calculate the extent, 5, and conversion, XA, at the exit of the packed bed reactor with pressure drop occurring, Graph both the extent and pressure change against the weight of catalyst in the pipe. ( vs W and P vs W) 2. Consider the vapor-phase catalytic reaction in an isothermal packed bed reactor: 2AB The reaction is taking place at 500 K over a 15-meter-long pipe packed with catalyst. The flow and packed-bed conditions are shown below: Entering volumetric flow rate: Vo = 0.05 m/s Catalyst pellet size: D, = 0.010 m Solid catalyst density: P = 1870 kg/m3 Cross-sectional area of pipe: A = 0.005 m2 Superficial mass velocity: G = 0.0025 kg/m2.s Void fraction: 0 = 0.25 Initial gas density: po = 2.15 kg/m Initial pressure: P. = 500,000 Pa Viscosity: u = 0.12 kg/m's The entering concentration of A to the reactor is 0.3 kmol/m and the rate law is: mo -r' A = k'C with k' = 0.003 kmol kg cats a. Calculate the extent, 5, and conversion, XA, at the exit of the packed bed reactor assuming no pressure drop. b. Calculate the extent, 5, and conversion, XA, at the exit of the packed bed reactor with pressure drop occurring, Graph both the extent and pressure change against the weight of catalyst in the pipe. ( vs W and P vs W)

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