Methanol is synthesized from carbon monoxide and hydrogen in a catalytic reactor. The fresh feed to the process contains 32.0 mol% CO, 64.0 mol% H2 and 4.00 mol% N2. This stream is mixed with a recycle stream in a ratio of 13.00 mol recycle/1 mol fresh feed to produce the feed to the reactor, which contains 11.0 mol% N2. The reactor effluent goes to a condenser from which two streams emerge: a liquid product stream containing essentially all of the methanol formed in the reactor, and a gas stream containing all of the CO, H2, and Nz 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. For a methanol production rate of 100.0 mol/h, calculate the fresh feed rate (mol/h), the molar flow rate and composition of the purge gas, and the overall and single-pass conversions. Fresh feed rate: mol/h Purge rate: mol/h mol fraction Co in purge: mol fraction Ny in purge: Overall CO conversion: % Single-pass Co conversion: %