Building a Reactor
usnc.com
usnc.com
Not saying that's wrong, but my seat-of-the-pants guess would have been ten orders of magnitude higher than this. (Citation?)
Natural uranium is a mix of 0.7% U-235 and 99.3% U-238. U-235 has a half-life of 700 million years and a spontaneous fission (SF) probability of 7e-11. U-238 has a half-life of 4.5 billion years and a SF probability of 5.4e-7. So on average it takes 6 times longer for a U-238 to decay than U-235, but when it does it has a probability to do it by spontaneous fission that is 7000 times higher. Add to that that U-238 is 141 times more plentiful in natural uranium, and you get that you can completely ignore U-235 when it comes to spontaneous fission.
1 kg of Uranium is about 4.2 moles. Each has 6e23 atoms (Avogadro's number), that's a total of about 25e23 atoms. Every year about 1 in 4.5 billion of those will decay one way or another. That's 5.5e14 decay events. The probability of spontaneous fission is 5.4e-7, so basically 10 million of these decay events are SF. There are 32 million seconds in a year, so I am getting about 0.3 SF events per second. On average a fission event generates about 2.5 neutrons, so that's close to 1 neutron per second.
They are getting 10 per second. They are nuclear engineers and I'm just a guy who knows how to multiply and how to read wikipedia. Most likely their number is correct.
> They are getting 10 per second. They are nuclear engineers and I'm just a guy who knows how to multiply and how to read wikipedia. Most likely their number is correct.
Nicely done! It gets complicated, well beyond my current understanding. However, U238's first decay product is Thorium234, which has a half life of 24 days. Thorium234 in turn decays into Proactinium, which has a half life of 1.17 minutes. There are 16 more decays until finally arriving at Pb206 (lead), which is stable.
These decays must give room for lots more neutrons to emerge.
[1] https://world-nuclear.org/information-library/nuclear-fuel-c...
For just "how much stuff is there", we can look at the concentration in the earths crust, and we get about 10^17 kilograms of the stuff (10^15 if you want U-235).
If you just say "Sure, but we can't get most of that, how much can reasonably get extracted at current prices and technology" then you go down to about 10^9 kilograms.
What tool is used for these ?
I could say roughly the same thing about a smartphone.
I see what you did there
So it's possible to for a blob of fissile material to just form naturally.
Some people have postulated that the moon itself was formed in a nuclear fission excursion [2], and/or that there is or was a nuclear reactor in the center of Earth [3]. These are both not commonly believed.
[1] https://en.wikipedia.org/wiki/Natural_nuclear_fission_reacto...
[2] https://phys.org/news/2010-01-moon-nuclear-explosion.html
You are incredibly off on complexity