Methanol (CH3OH) is produced in the reaction of carbon dioxide and hydrogen via the reaction and process given below: CO2+3H2→CH3OH+H2O The fresh feed to the process contains hydrogen, carbon dioxide,...

Methanol (CH3OH) is produced in the reaction of carbon dioxide and hydrogen via the reaction and process given below:

CO2+3H2→CH3OH+H2O

The fresh feed to the process contains hydrogen, carbon dioxide, and 0.800 mol% inerts (I). The reactor effluent passes through a condenser that removes essentially all of the methanol and water formed and none of the reactants or inerts. The unreacted reactants and inerts are recycled to the reactor. To avoid buildup of the inerts in the system, a purge stream is withdrawn from the recycle. 100 mol/h of feed to the reactor contains 29.5 mol% CO2, 68.0 mol% H2, and 2.50 mol% inerts. The single-pass conversion of hydrogen is 82.67%. What is the recycle-to-fresh feed ratio?