Thermodynamics, Statistical Physics, and Quantum Mechanics

128

Substituting dVfrom(S.4.34.2) and from(S.4.34.3) into(S.4.34.1), we

So,

When (S.4.34.5)becomes

Ideal Gas and Classical Statistics

4.35 Poisson Distribution in Ideal Gas (Colorado)

The probability of finding aparticularmolecule in a volumeVis

The probability of findingNmarked molecules in a volume Vis

Similarly, the probability of finding oneparticularmolecule outside of the
volume Vis

and for particularmoleculesoutsideV,

Therefore, the probability of finding any molecules in a volumeVis
the product of the twoprobabilities(S.4.35.1) and(S.4.35.2) weighted by
the number of combinations forsuch aconfiguration:

have

SOLUTIONS