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Carbon monoxide and hydrogen are led to a reactor in a 1:2 molar ratio to produc

ID: 1018333 • Letter: C

Question

Carbon monoxide and hydrogen are led to a reactor in a 1:2 molar ratio to produce methanol by the following reaction: CO + 2 H_2 rightarrow CH_3OH A single pass conversion of 25% is achieved. The methanol produced is completely separated and the unreacted gases are recycled back to the process, where they are mixed with a fresh feed of carbon monoxide and hydrogen before entering the reactor. If 200 kmol of methanol are produced per hour, find: The total molar flow rate of the fresh feed (kmol/h). The total molar flow rate of the recycle stream (kmol/h).

Explanation / Answer

Quantity of methanol to be produced = 200 kmol/hr

As per the reaction , moles of CO = 200 mol/hr and Hydrogen = 2*200 =400 Kmol/hr

Total molar flow rate of fresh feed= 200 K mol/hr (CO) + 400 K mol/hr ( Hydrogen)= 600 Kmol/hr

ler R= Recycle

Feed entering the reactor = Fresh Feed + Recycle =   600 +R

25% conversion is achieved, moles of Feed converted= 0.25*(600+R)

Unconverted product = 0.75*(600+R)

The unconverted mixture of CO and H2 are recycled and hence unconverted = R

0.75*(600+R)= R

600+R= R/0.75= 1.33 R

600 =0.33R

R= 600/0.33 =1818 Kmol/hr