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## Main Question or Discussion Point

In thermodynamics (ignoring relativistic effects) you can use the maxwell-boltzmann-distribution to find the average speed of the gas particles.

[itex]v^2=\frac{8kT}{\pi m}[/itex]

But there are high Temperatures that would have average speeds > c.

Are there distributions that describe gases with an average speed of 0.5 relativistically?

[itex]v^2=\frac{8kT}{\pi m}[/itex]

But there are high Temperatures that would have average speeds > c.

Are there distributions that describe gases with an average speed of 0.5 relativistically?