The balanced equation for the formation of methanol (CH3OH) is:
2 H2(g) + CO(g) → CH3OH(g)
We’re being asked to determine at what temperature the given reaction is spontaneous. The standard free energy change of a reaction (ΔG˚rxn) is given by the following equation:
We’re given the ΔH˚f and S˚ of each reactants and products. We can use those to calculate for ΔH˚rxn and ΔS˚rxn separately.
Making Methanol The element hydrogen is not abundant in nature, but it is a useful reagent in, for example, the potential synthesis of the liquid fuel methanol from gaseous carbon monoxide:
2 H2(g) + CO(g) --> CH3OH (g)
This reaction is spontaneous at temperatures lower than:
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Based on our data, we think this problem is relevant for Professor Lair's class at UCM.