182
DOC.
4
KINETIC THEORY LECTURE NOTES
A1
A2
...
A5
If we
introduce
new
variables
so
that
.
2
2
2.
we
obtain
L
=
(r, +
r2* •
•+
r5),
JÜC^
^
drx'
-
dr
n
-1
y^r2
5
dr.-••
dr
®
t
5"
=
_
•
n
In
our case
_0
2
2
[p. 34]
The
specific
heat
content
is
thus
£0
-
N
per
gram-molecule
2
5
D
C"
=
2
But
we always
have
for
a gram-mol[ecule]
7
cp
=
cv
+
R,
hence
in
our case
cp
=
-7R
2
c
7
-£
=
-
=
1.4.
c
5
Is correct
for
gases
that the
chemists
regard
as
diatomic.[66]
Generalization of the
analysis.
Let
p1 ....
pl
be
coordinates,
and
q1
.....
ql
velocities[67]
Energy can be
written
in
the
form (for an
appropriate
choice
of
the q)
E
=
H
+
EA
q]
P
&
the
Av
depend
for
an
appropriate
choice
of the variables
only
on
the
p.
Canonical
distribution.
dW
=
const
e'^+
*x~A'q^dp1
....
dpldq1
....
dql
Suppose region
dp1
....
dp1
given once
and for
all.
Let
us
compare
the
velocity
distributions that
pertain
to this
configuration
of the
pv.
If
we
take
out
everything
that
does
not
depend
on
qv,
we
arrive at