Well, I'm lazy and I'll just do one case. Taking your 2500 MT of fission energy in current nuclear warheads, which looks reasonable, that's 2500 MT x 4.2 PJ/MT = 10500 PJ or 10,500,000 TJ = 10,500,000 TWs. With 10 TW of thermal power, that would take 1,050,000 seconds to produce if all the reactors were running. 1,050,000s ~= 300h ~= 13 days. If I'm right, you lost one factor of 10 there; the nuclear power plants of the world produce as many fission products every couple of weeks as the entire world's arsenal of nuclear weapons, and every quarter or so as much as the largest arsenal the world has had.MiM wrote:Zilla, on your question about how many reactors and how many bombs.
The World Nuclear Association gives about 430 reactors producing a total of about 3700 GW electricity in October 2011. Multiply by roughly 3 to get ~10 TW thermal effect.
Stockpiles are harder, and there are many estimates. Here is one historical listing http://www.johnstonsarchive.net/nuclear/nucstock-0.html, giving peaks of about 70,000 warheads, and 27,000 Mt, in the 1970's. Another estimate I found was 5000 Mt today. If we (roughly) estimate half of that to be fusion energy, those numbers need to be halved for fission content.
If we calculate from here, it would take about 1.5 years for all power plants to produce the energy of the fission part of the peak total weapons stockpile and about 4 months to match todays stockpile. If we consider that the medium age for the fuel in a reactor is about 2 years, we can estimate that the amount of long lived fission products in all reactors today is of the same order of magnitude as the long lived fission products that theoretically could have been released in a nuclear holocaust during the crazy years, and clearly above what is available today.
But then we have to add all the short lived nuclides from the weapons and activation products from both, so that is not the full picture. And of course, you have to put a nuke (or another big bomb) on a power plant to get it to release all of its content.
Hope I didn't make any bad mistakes, calculating with that many zeros is always a challenge -maybe Jim's 11 y students could check my calculations
That would say the total amount of medium to long lived fission products in the world's nuclear plants is perhaps 5 times the maximum that could ever have been released in a nuclear holocaust, and around 25 times what a nuclear holocaust could release today.
I agree with you that it's unlikely that we'd see all of that released at once, either for the reactors or for the bombs, but in combination with the original video, it does illustrate that the amounts of energy and fission products we're talking about are not unimaginable.