申論題

3. Consider a second-order reaction 2A→B+C, which is occurred in 20 meters of schedule 40 pipe packed with catalyst. There is 104.4 Ibm/h of gas flowing through the bed with the entering pressure of 101300 Pa. Temperature was kept at 260℃. Entering volumetric flow rate (vo) is 6.5 m³ /h. Cross-sectional area of pipe is 0.0013 m². Catalyst pellet size is 6 mm； catalyst bulk density is 1800 kg/m³. Pressure drop parameter (β₀) is 2580 Pa/m. Assume specific reaction rate constant (k) is independent of particle size； k = 0.012 m⁶/mol kg cat. h. Calculate the conversion with and without pressure drop. (20%) If the catalyst size increases by a factor of 2, what is the conversion with pressure drop? (10%)