Speed of the molecules on the gas kinetics theory

[geoorge]

How we can face the speed of the molecules on the gas kinetics theory and the speed barrier of light ?

because v=sqrt(3kT/m)

were k is Boltzmann
T = kelvin
and m = mass of the element


remember the huge T of the big bang

 

[mma]

How we can face the speed of the molecules on the gas kinetics theory and the speed barrier of light ?
because v=sqrt(3kT/m)
were k is Boltzmann
T = kelvin
and m = mass of the element
remember the huge T of the big bang

Equipartition means E = 3kT/m (for a monoatomic gas). This involves v=sqrt(3kT/m) only when E=1/2 mv², i.e. only for small v values (nonrelativistic speeds). In special relativity E=(1/2)mv²/sqrt(1-v²/c²).
However v has an upper limit, kinetic energy doesn't. So temperature can be arbitrarily huge.