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A homogenous gas-phase second-order reaction is taking place in a laboratory-scale PFR with an inner diameter of 20 cm and a length of 1.2 m,

A homogenous gas-phase second-order reaction is taking place in a laboratory-scale PFR with an inner diameter of 20 cm and a length of 1.2 m, given by A --> (4/3)R. Initially, pure A substance at 2 atm pressure, 460 K temperature, and a volumetric flow rate of 60 L/min from a feed stream containing 60% A and 40% inert is fed to the reactor. The exit stream is found to have 80% conversion. Later on, the same reaction is desired to be carried out in a PFR in a commercial plant with a 6.3x10^3 L/min volumetric flow rate from a feed stream containing 60% A and 40% inert at 8 atm pressure, 460 K temperature, and with 90% conversion of A. a) Calculate the volume of a single reactor that will be used in the commercial plant. b) Determine how many of the 20 cm diameter and 1.2 m length PFRs are required for the plant.

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