The homogeneous gas reaction 2A-->3R follows second-order kinetics. For a feed rate of 4 m3/hr of pure A at 5 atm and 350C, an experimental reactor consisting of a 2.5 cm ID pipe 2 m long gives 65% conversion of feed.

A commercial plant is to treat 310 m3/hr of feed consisting of 50% A, 50% inerts at 25 atm and 350oC to obtain 80% conversion. Assume plug flow in the pipe, negligible pressure drop, and ideal gas behavior.

(a) How many 2-m lengths of 2.5 cm ID pipe are required?

(b) Should they be placed in parallel or in series?