In a process containing a recycle and a purge stream, 100 moles/hr of a are fed into the system. a reactor induces a reaction a b, which itself leads to a reaction b c. the yield of b in the reactor is 18%. the stream exiting the reactor enters a separator, in which all b is separated from all a and c. all b then exits the system in a product stream. the strearm leaving the separator containing a and c is then split at a ratio of 4 moles recycled for every 1 mole purged. the purge stream contains 20 moles/hr of c. a) draw and label the flowsheet. b) determine the flow rate of a in the purge stream, the rate of production of b, and the conversion in the reactor