Speed of the molecules on the gas kinetics theory

AI Thread Summary
The discussion centers on the relationship between molecular speed in gas kinetics and the speed of light barrier. The formula v=sqrt(3kT/m) is highlighted, where k is Boltzmann's constant, T is temperature in Kelvin, and m is the mass of the gas particles. It is noted that while kinetic energy can increase indefinitely with temperature, molecular speeds are constrained by relativistic limits. The concept of equipartition is mentioned, indicating that energy distribution among gas particles follows specific rules at nonrelativistic speeds. Ultimately, the implications of high temperatures, such as those from the Big Bang, raise questions about the behavior of gases under extreme conditions.
geoorge
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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 boltzman
T = kelvin
and m = mass of the element


remember the huge T of the big bang
 
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geoorge said:
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 boltzman
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.
 
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