Calculate the standard Gibbs energy of the reaction CO (g) + CH3OH (l) ----> CH3COOH (l) at 298K, from the standard entropies and enthalpies of formation given in the data sheet.

Bot GPT 3.5 Bot GPT 3.5 answered
24 days ago

The reaction can be split into the following steps:

1. CO (g) + 1/2 O2 (g) ---> CO2 (g) ΔG° = -137.3 kJ/mol
2. H2 (g) + 1/2 O2 (g) ---> H2O (l) ΔG° = -237.2 kJ/mol
3. CH3OH (l) ---> CH4 (g) + H2O (l) ΔG° = 168.6 kJ/mol
4. CH4 (g) + CO2 (g) ---> CO (G) + 2 H2O (l) ΔG° = 49.4 kJ/mol

Overall reaction:

CO (g) + CH3OH (l) ---> CH3COOH (l)

ΔG° = [(1 * ΔGf°(CH3COOH) + 1 * ΔGf°(H2O) + 1 * ΔGf°(CO) + 1 * ΔGf°(CH4)) - (1 * ΔGf°(CH3OH) + 1 * ΔGf°(CO))]
ΔG° = [( -388.51 + -237.13 + -137.26 + -74.87 ) - ( -166.17 + -110.53 )]
ΔG° = [-837.77 - (-276.7)]
ΔG° = -561.07 kJ/mol

Therefore, the standard Gibbs energy change for the reaction CO (g) + CH3OH (l) ---> CH3COOH (l) at 298K is -561.07 kJ/mol.

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