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 5 mol recycle/1 mol 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 essentiall 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. required for a methanol production rate of 100 kmol/hr, calculate the fresh feed rate (kmol/hr), the molar flow rate and composition of the purge gas, and the overall and single-pass conversions