DOC. 4 KINETIC THEORY LECTURE NOTES
151
Thermal
Conductivity
CT
Heat conduction
from
the
fact
that, on
average,
each
molecule
the
amount
of heat
v
N
with it.
Hence the heat conduction
will
be
r
1
Cv
BT
J
BT
k
=
lnck-±
1
c
F
=
-~nck
=
-k
-
3
N
Bz
Bz
3
N
Since
-
is
concentration
n, we
have
N
k
1qcAC~
p
=
x\M
Vv
=
M
For monatomic
gas
Cv
=
-R3
2
Further,
if
one
inserts the
value
for
k into
the
first
equ.
for
k, one
obtains
4z~2N
It
turns out
that the thermal
conductivity
is
independent
of the
density
of the
gas.
(Limit
of
validity
of
this
law.[15]
1
4
luPn
1
cCv
4
vs2N