DOC.
4
KINETIC THEORY LECTURE NOTES
153
We
can
set
p
=
nm
k
=
1mCC'
ß
_
1
mc
its
~ W
From
this
one sees
that k should be
independent
of the
density,
which has
been
amply
proved
by
experiment.[17]
Further,
we
have
c
«
\[T
,
which
should
thus
hold
for
k
as
well.
But
it does not
hold,
because
s
decreases for
higher temperatures (the
elastic
spheres
model
not
completely
applicable.[18]
Diffusion
of
Molecules
of
Kind
1
in Molecules
of
Kind
2[19]
[p.
7]
.
dc
.
cat
cos
(p •
-
(z0
-
A
cos
(p)
47Ü
,
dK
(
cdt
cos cp~
I
nx
-~/coscp"dnx
j
dK
f
dn
.
cdt
cos
q -
I nx
+
xcos
cp
dZ
-
-
2 .
cdt
cos
cp
sin
(p
/
do
d(p
_ cos
q
dn*
4n
dz
iz/2
Z=
-cX
8n
x cosz
i
(p
sin
•
(p
d(p ,
=
1
,
örii
dz
3
dz
0
cos3
(p
1
0
3
If
n
denotes the concentration of the
gas
in
gr.mol.,
one
obtains
by dividing by
N
cm3
Diffusion
gram-molecule
=
-ia£n
=
-D-
3
dz
dz
D
=
-
ck
3
1-.5
.104
.10-5
=
0.16[20]
3