DOC.
5
73
L =
^(£2+"2+/2)
=
v 2
'v
sv'
n
m
(far--V
l
1
T
Ak,Tq
diX-^
*
.dz
2K
T
o
n
i
m
T^l++ty
4^o
wr0
n n
r+oo
V2
4k
I0
=
3
-oo
=
3/cf,0
+00
^
.4/cfo
dfz/
-oo
[17]
This
quantity
is thus
independent
of the choice of the
region
and
the choice
of the
atom,
and hence
is in
general
the
mean
value for the
atom
at
the
absolute
temperature
T0.
The
quantity
3K
equals
the
quotient
of the
mean
kinetic
energy
of
an
atom
and the absolute
temperature.1
Further,
the
constant
K
is
closely
connected with the
number
N
of
true
molecules contained in
one
molecule
as
the chemists understand it
(equivalent
weight
based
on
1
g
hydrogen as
unit).
It is well
known
that for
such
a
quantity
of
an
ideal
gas,
and
with
gram
and
centimeter
used
as
units,
we
have
pv
=
RT,
where
R
=
8.31
x
107.
[19]
According
to
the kinetic
theory
of
gases, however,
pv
=
2/3
NL
,
1Cf. L. Boltzmann,
Vorl.
über Gastheorie
[Lectures
on
the
theory
of
gases]
2
(1898): §42.
[18]