Let’s see CO2 has one carbon atom and two oxygen atoms. Methane is CH4, that is one carbon atom and 4 hydrogen atoms. I never see in the article where the hydrogen atoms are going to come from. Besides as cheap as methane is today I don’t see the point.
The reaction took place in water. So I assume the water was the source of the hydrogen.
The process involves immesing the electrode in water through which CO2 is passed, so the current will break down the water molecules to obtain the hydrogen. The reaction produces 3 molecules of oxygen for each molecule of methane: 2H2O + CO2 = CH4 + 3O2
My bad- the reaction is produces 2 oxygen molecules for each methane molecule:
4xH2O + 2xCO2 = 2xCH4 + 4xO2
There is no “free” energy, however if the technology is more efficient than existing processes to create synthetic hydrocarbons it could be useful.