Methanol (CH3OH) is made industrially in two steps from CO and H2. It is so cheap to make that it is being considered for use as a precursor to hydrocarbon fuels such as methane (Ch4):
Step 1. CO(g) + 2H2(g) → CH3OH(l) ΔS° -332J/K
Step 2. CH3OH(l) → CH4(g) + 1/2O2(g) ΔS° = 162 J/K
Is step 1 spontaneous at 298 K?
a) yes b) no