While this reaction will work there is another called the Reverse Water Gas Shift (RWGS) reaction. (evworld.com)
When fuel for public transport was scarce in the second world war, some British buses ran on water gas generated in trailers behind the bus, with the product stored in a balloon on top of the bus. (newscientist.com)
Carbon can be used to turn water into green fuels by making water gas, H2 / CO which in turn makes any HC and electricity by F - T, other processes.. (green.blogs.nytimes.com)