Final answer:
In this reaction, 1 mole of CO reacts to produce 1 mole of CH₃OH. Therefore, the volume of CO gas required is the same as the volume of CH₃OH produced.
Step-by-step explanation:
In the reaction CO + 2H₂ -> CH₃OH, one molecule of CO is consumed to produce one molecule of CH₃OH. Therefore, the volume of CO needed is equal to the volume of CH₃OH produced. Since the volumes of gases are directly proportional to the number of moles, we can use the ideal gas law to relate the volumes. The balanced equation tells us that the stoichiometric coefficient of CO is 1, which means that 1 mole of CO reacts to produce 1 mole of CH₃OH. Therefore, the volume of CO gas required is the same as the volume of CH₃OH produced.
Learn more about Synthesizing CH₃OH from CO and H₂