Problem 6-15 marks Methanol is synthesized from carbon monoxide and hydrogen in a catalytic reactor. The fresh feed to the process contains 32.0 mole\% CO,64.0%H2, and 4.0%N2. This stream is mixed with a recycle stream in a ratio 5mol recycle/ 1mol fresh feed to produce the feed to the reactor, which contains 13.0 mole\% N2. A low single-pass conversion is attained in the reactor. The reactor effluent goes to a condenser from which two streams emerge: a liquid product stream containing essentially all the methanol formed in the reactor, and a gas stream containing all the CO,H2, and N2 leaving the reactor. The gas stream is split into two fractions: one is removed from the process as a purge stream, and the other is the recycle stream that combines with the fresh feed to the reactor. (a) For a basis of 100mol fresh feed/ h, calculate the production rate of methanol (mol/ h), the molar flow rate and composition of the purge gas, and the overall and single-pass conversions. (b) Briefly explain in your own words the reasons for including (i) the recycle stream and (ii) the purge stream in the process design