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4 Thermodynamics and Statistical Physics
The Maxwell distribution
N (ν)dν = 4π
m
2πkT
3/2 ν
2 e
−mν
2 /2kT dv
(4.7)
Fig. 4.1 The Maxwell distribution
Flux
∅ =
1
4
n < ν > (number of molecules striking unit area per second)
(4.8)
where n is the number of molecules per unit volume.
Mean free path (M.F.P)
λ =
1
√
2πnσ 2
(4.9)
where n is the number of molecules per unit volume and σ is the diameter of the
molecule.
Collision frequency
f =
< ν >
λ
(4.10)
Viscosity of gas (η)
η =
1
3
ρλ < ν >
(4.11)
Thermal conductivity (K )
K = ηC ν
(4.12)
where C ν is the specific heat at constant volume.
4 Thermodynamics and Statistical Physics
The Maxwell distribution
N (ν)dν = 4π
m
2πkT
3/2 ν
2 e
−mν
2 /2kT dv
(4.7)
Fig. 4.1 The Maxwell distribution
Flux
∅ =
1
4
n < ν > (number of molecules striking unit area per second)
(4.8)
where n is the number of molecules per unit volume.
Mean free path (M.F.P)
λ =
1
√
2πnσ 2
(4.9)
where n is the number of molecules per unit volume and σ is the diameter of the
molecule.
Collision frequency
f =
< ν >
λ
(4.10)
Viscosity of gas (η)
η =
1
3
ρλ < ν >
(4.11)
Thermal conductivity (K )
K = ηC ν
(4.12)
where C ν is the specific heat at constant volume.