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FolkSong t1_izov2wh wrote

>The simple relationship E=mc2 tells us that 2.3 kg mass was converted to energy in the bomb, but a hydrogen fusion reaction only converts about 0.7% of the starting mass to energy. So they would have had to burn through at least 330 kg of hydrogen, and they probably started with much more since the efficiency of fusion won't be 100%.

>According to wikipedia, high yield nuclear weapons produce something like 5 megatons per metric ton of material, which would mean the Tsar Bomba had about 10,000 kg of hydrogen.

Just to interpret the comment:

2.3 kg is the mass of hydrogen which is converted to pure energy in a 50 MT bomb (which is roughly the yield of the Tsar Bomba, the largest bomb ever detonated). Eg. the total mass of bomb material after detonation is 2.3 kg less than the starting mass.

330 kg is the absolute minimum amount of hydrogen which would have been present in the above bomb based on 0.7% of it being converted to energy. But a real bomb would likely contain significantly more due to other inefficiencies.

10,000 kg is the estimate of the actual quantity of hydrogen in the Tsar Bomba.

Also keep in mind just asking how much material is used in a bomb is like asking how long a piece of string is. The above discussion was about a 50 MT bomb, but the largest weapon currently in the US arsenal, the B83, has a maximum yield of 1.2 MT and a total mass of 1100kg (not just hydrogen). Most are smaller than that. The W76, used on submarine missiles, is only 95 kg total with a 0.1 MT max yield.

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uberbob102000 t1_izum84c wrote

Anyone with half a brain can figure out that Tsar Bomba probably does NOT have 10,000kg of Hydrogen. It doesn't exactly store well..

Someone just pulled a number out of their ass by misinterpreting another statistic, because that doesn't NOT mean you get 5 megatons per 1 metric ton of hydrogen. It means material as a whole...

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FolkSong t1_izvpdfe wrote

It wouldn't be hydrogen gas, it would be a solid compound, probably Lithium-6 Deuteride. I think the questioner really wanted to know the total amount of fusion fuel so the estimate seems plausible for that (the whole bomb weighed 27,000 kg).

If they truly only cared about hydrogen atoms it would be less, but it's hard to imagine why someone would care about that specifically.

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