Say you had a large bomb - take the 50 megaton Tsar Bomba. You then proceed to place it in the center of a spherical tank containing liquid hydrogen, and then detonate it. Could you start a fusion reaction inside of that tank (and roughly how big would that tank need to be)?
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The fusion process is triggered by compression so just lighting a match isn’t enough. See http://nuclearweaponarchive.org/ – ZeroTheHero Apr 02 '18 at 02:58
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The only thing that would work is to put it in a tank of U-238. – JEB Apr 02 '18 at 03:34
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My apologies, I meant if I actually detonated the bomb, instead of just lighting a match. – Nikhil Murali Apr 02 '18 at 10:48
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Only if the tank is made part of a new stage of the radiation implosion device itself, see here. – Count Iblis Apr 02 '18 at 18:16
2 Answers
The first ever thermonuclear device, Ivy Mike, contained a tank with liquid deuterium (heavier isotope of hydrogen, the main isotope, protium, has too small fusion cross-sections). The fusion reactions in this tank were ignited by a fission bomb.
Note, that the main problem for obtaining a significant yield from fusion reactions is to contain fusion fuel long enough for it to fuse, rather than being dispersed by the explosion prematurely (then this would be called a fizzle). So, while simply placing the bomb inside the tank with liquid deuterium will produce some fusion reactions, large yields require careful design such as Teller-Ulam configuration.

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When the nuclear bomb is ignited, the liquid hydrogen in the tank would evaporate instantly. The evaporation heat of liquid hydrogen of a tank of any reasonable size is negligible compared to the energy released even by a small (Hiroshima) 15kT TNT fission bomb.
Note after comment by @rob: That there won't be any significant fusion of ordinary hydrogen with hydrogen has been answered here: Fusion: Why deuterium and tritium?

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The question seems to be about nuclear reactions in the hydrogen, not about the hydrogen phase change. – rob Apr 02 '18 at 16:55
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@rob - The answer is correct. The hydrogen will evaporate and dissipate. That there won't be any significant fusion of ordinary hydrogen with hydrogen has been answered here: https://physics.stackexchange.com/q/87972/129209 – freecharly Apr 02 '18 at 17:41