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)].

Transcribed Image Text:

100 mol 0.65 mol H₂/mol 0.345 mol CO/mol 0.005 mol CH₂/mol n₁ (mol H₂) n2 (mol CO) n3 (mol CH4) nr, H2 (mol H₂) nr, co (mol CO) nr, CH4 (mol CH4) n₁ (mol H₂) ns (mol CO) n6 (mol CH₂) n7 (mol CH3OH) n₁1 (mol CH3OH) ng (mol H₂) ng (mol CO) n₁0 (mol CH4) np, H2 (mol H₂) np. co (mol CO) np, CH4 (mol CH4) 100 mol 0.65 mol H₂/mol 0.345 mol CO/mol 0.005 mol CH₂/mol n₁ (mol H₂) n2 (mol CO) n3 (mol CH4) nr, H2 (mol H₂) nr, co (mol CO) nr, CH4 (mol CH4) n₁ (mol H₂) ns (mol CO) n6 (mol CH₂) n7 (mol CH3OH) n₁1 (mol CH3OH) ng (mol H₂) ng (mol CO) n₁0 (mol CH4) np, H2 (mol H₂) np. co (mol CO) np, CH4 (mol CH4)