94 DOC.
2
LAW OF PHOTOCHEMICAL
EQUIVALENCE
must
be satisfied.
Thus,
as
the
most
important consequence
we
obtain
(5),
which
states
that
a
gas
molecule that
decomposes
under
the
absorption of
radiation
of
frequency
v0
absorbs
(on
average)
the radiation
energy
hv0
in
the
course
of
its
decomposition.
We assumed the
simplest
kind of
reaction,
but
we
could
just
as
well
have derived
equation (5)
for other
gas
reactions
occurring
under
light absorption
in
the
same way.
It
is
also obvious that this relation
can
be
proved
in
a
similar
manner
for dilute solutions. The relation
may
well be
generally
valid.
Furthermore,
if
we
replace
the
quantity
a
in
(4a")
with the
help
of
(6),
we
obtain,
taking
into
consideration
(3), abbreviating n2n3/n1
=
k,
and
applying
Wien's
radiation
law,
iV/zv0
Nhv»
1
_
\
/
b,

gK
=
~RT~
~ HT;
+
Ä^5niiCvi
+
Cl"(Cvi
+
R)'
~f\
For
T
=
Ts,
this
equation
reduces
to
the familiar
equation
for the dissociation
equilibrium
for
gases,
a
proof
that the above
theory
does
not
contradict the
thermodynamic
theory
of dissociation.
Prague, January
1912
(Received
on
18 January 1912)