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Suppose the molecules of an ideal gas move with a speed comparable to the speed of light. I am trying to adapt the kinetic theory to express the pressure of the gas in terms of m and the relativistic energy, but each time I try to derive the expression, I get: P = (1/3)(N/V)(v/c)√(E^{2} - m^{2}c^{2}).
N/V - number density
v - velocity
c - speed of light
E - relativistic energy
m - rest mass
There shouldn't be the term for velocity. Idk what I am doing wrong.
N/V - number density
v - velocity
c - speed of light
E - relativistic energy
m - rest mass
There shouldn't be the term for velocity. Idk what I am doing wrong.