Methanol may be produced by the reaction of carbon dioxide and hydrogen. 

CO₂ + 3H₂ → CH₃OH + H₂O

 

The  fresh feed to the process contains hydrogen and carbon dioxide in  stoichiometric proportion, and inerts (I). The reactor effluent passes  to a condenser, which removes essentially all of the methanol and water  formed, none of the reactants or inerts. The latter substances are  recycled to the reactor after mixing with the fresh feed. To avoid  build-up of the inerts in the system, a purge stream is withdrawn from  the recycle. The fractional split is 0.16. The feed to the reactor has  an overall flow rate of 6803 mol/h, which contains 2% inerts. The  single-pass conversion of the reactor is 60%. Calculate the molar flow  rates of hydrogen and carbon dioxide in the fresh feed, and the  production rate of methanol.