A gas stream consisting of 65 mole% H2, 34.5 mole% CO, and 0.5 mole% CH4 is fed to a process to synthesize methanol (CO + 2H2 → CH3OH). The stream from the reactor is fed to a condenser where essentially all of the synthesized methanol is condensed and all of the unreacted gases are recycled back to the reactor. To avoid a buildup of methane, a purge stream is removed from the recycle. The overall conversion of CO is 85% and the methane mole fraction in the reactor inlet [n3/(n1+n2+n3)] is 0.03.
1. Find the amount of methanol produced by this process (n11).
2. Find the fraction of recycle that is purged [np/(nr+np)].
