The gas phase reaction A + 2B R is irreversible and is to be conducted in either a plug flow reactor or a mixed flow reactor. This problem has you set up the design equations. The initial concentration of A is 0.03 mol/dm3, and the initial concentration of B is 0.05 mol/dm3, and the feed rate is to be vo = 2 dm3/s at feed pressure P0. The reaction is elementary, -rA = kCACB², with a rate constant of 5.4 dm6/(mol2-s).

(a) Determine the expansion factor for an isothermal, isobaric reactor.

(b) For the given feed rate, if the conversion of B is 80%, what outlet flow rate would result

from an isothermal, isobaric reactor (dm3/s)?

(c) Provide the design equation to determine the volume of a plug flow reactor to convert

85% of the feed of B. If an integral is necessary, provide values for all variables. The integral

must be in terms of a single integration variable. If an integral is not necessary, calculate the

volume.

(d) Provide the design equation to determine the volume of a mixed flow reactor to convert

85% of the feed of B. If an integral is necessary, provide values for all variables, and the

integral must be in terms of a single integration variable. If an integral is not necessary,

calculate the volume.