Consider a small volume v in a classical ideal gas with volume V and temperature T. (N) Ne-(N) N! PN = Prove that the probability of finding N gas particles (here, not the total number of gas particles) in the volume v follows the Poisson distribution, where N is the average number of particles in the volume v.

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Consider a small volume v in a classical ideal gas with volume V and temperature T.
(N)Ne-(N)
N!
PN =
Prove that the probability of finding N gas particles (here, not the total number of gas particles) in the volume v
follows the Poisson distribution, where N is the average number of particles in the volume v.
Transcribed Image Text:Consider a small volume v in a classical ideal gas with volume V and temperature T. (N)Ne-(N) N! PN = Prove that the probability of finding N gas particles (here, not the total number of gas particles) in the volume v follows the Poisson distribution, where N is the average number of particles in the volume v.
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