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Formula Sheets
/ Physics
Chapter 15
Kinetic Theory of Gases
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Ideal gas and kinetic theory
Molecular speeds and mean free path
Degrees of freedom and specific heats
Ideal gas and kinetic theory
P
V
=
n
R
T
=
N
k
B
T
,
P
=
3
1
ρ
v
rms
2
Average KE
E
ˉ
=
2
3
k
B
T
per molecule (translational)
Molecular speeds and mean free path
v
rms
=
M
3
R
T
,
v
avg
=
π
M
8
R
T
,
v
mp
=
M
2
R
T
Mean free path
λ
=
2
π
d
2
n
1
=
2
π
d
2
P
k
B
T
Degrees of freedom and specific heats
Equipartition
2
1
k
B
T
per degree of freedom
;
U
=
2
f
n
R
T
C
v
=
2
f
R
,
C
p
=
C
v
+
R
,
γ
=
1
+
f
2
Values of f
monatomic
3
(
γ
=
3
5
)
;
diatomic
5
(
γ
=
5
7
)
;
non-linear polyatomic
6
(
γ
=
3
4
)
Mixture
C
v
=
n
1
+
n
2
n
1
C
v
1
+
n
2
C
v
2
Thermodynamics
Oscillations