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My guess is that technically, it never stops completely. We regularly observe that the less dense the medium is, the lower the speed of sound is in it. So I guess the answer is that sound does propagate in the 'rarified' medium of space, only at a speed that's so low it's totally ridiculous. Maybe that's even consistent with the idea of how far a sound-excited molecule in space has to go before it has a good chance of hitting another one and transferring its momentum and energy. Don't forget that you still have to find an efficient way of somehow transferring sound energy intothe medium, which won't be that easy with a 12-inch speaker cone into one hydrogen atom per cc of medium.

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Q: Sound can't travel in a vacuum but even outer space is not a perfect vacuum -- how diffuse can a gas be before it stops conducting sound completely?
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