184
DOC.
4
KINETIC THEORY LECTURE NOTES
We
ask
for
probability
that
molecule is
contained in
da
(direction
cone).
Integrated over
variables
x
y
z
£
r|
C
gives
constant
dW
=
const
disdta
Je
1
mR2
,
,
(sin 2tto2 + t2) +
^Mf/cosOdo dt
hfH
cost-
(sin2*)2)
1
MR2
=
const.
dtidue*
\e
doje
e~T~
dx
*
[p. 36]
For
a
molecule
of
a
monatomic
solid substance
simplest
assumption[70]
attraction
ar
-ax,
ay, az
E
=
-(?
+
r\2
+
C2)
+
-(x2
+ y2+'z2)
2
1
dW
=
ke
g[
]dx
dy
dz
d£ dr\ d£
[71]
Mean kinetic
energy
ml
m
2
^2e
(WWjx•
d£
2
• •
dx
-
dC
m
2
£
dt
-(l/e)(m/2)«2
m
m
2© 20
x2e *2dx
0
=
0
2
-v2
dx
E
-
=
6^
0
=
30
2
for
gram-molecule
E
=
3RT in
calories
3 1.97
T
=
5.9 T