Wow i just recalculated, there is indeed a hughe error in my formulla.
I'm off with a factor of 1000 i think.
1Ev = 11604,505 K
So 13,6Ev is somewhere around 158 000 K
I think this should be a correct result.
A gas thad is expanding needs energy or otherwise heat to make thad expansion possible.
So when the gas leaves the can it needs energy to expand and so it cools down the can itself as well as the air around the can.
The energy needed to remove an electron from hydrogen is 13.6 Electron Volt.
Converting electron volt to kelvin:
(1ev/Kb) = (1.60217653 X 10^-19 J)/(1.3806505 X 10^-23 J/K) = 11604,505 K
13.6 * 11604,505 K = ~158 000 degrees Kelvin.