Fissioning one gram matches tonnes of coal
Complete fission of one gram of uranium-235 releases about as much energy as burning around three tonnes of coal.
Each fission yields about 200 million electron-volts, which is a ridiculous energy for one nucleus and a tiny energy for a hand. There are so many nuclei in a gram that the tiny energies add to around 80 billion joules. Coal, burned, yields on the order of 24 million joules a kilogram. Divide, and a gram of fully fissioned uranium-235 stands in for a few tonnes of coal. That ratio is why a reactor core is measured in tonnes of fuel and a coal yard in trains.
The catch is in the words ‘complete’ and ‘uranium-235’. Reactor fuel is mostly uranium-238. Only a few percent is the fissile isotope, and not all of that is burned before the fuel is retired. A gram of yellowcake, or a gram of a fresh fuel pellet, is not this gram. The energy is in the nucleus. Getting it out is the engineering, and the engineering does not collect the theoretical total.
Caveats
- Three tonnes is an order-of-magnitude equality for complete fission against typical coal. The heating value of coal varies. The fission energy per nucleus is not exactly 200 MeV in every accounting, once neutrinos that escape are subtracted.
- The comparison says nothing by itself about waste, accidents, or cost. It is a statement about energy density.
Sources
- 1Glasstone S., Sesonske A.. Nuclear Reactor Engineering. Chapman & Hall, 1994.