DOC.
10 81
Doc. 10
Review
of
N. N. SCHILLER,
"Some
Concerns
Regarding
the
Theory
of
Entropy
Increase
Due
to
the Diffusion
of Gases
Where
the Initial Pressures
of the
Latter
Are
Equal"
("Einige
Bedenken
betreffend die Theorie der
Entropievermehrung
durch Diffusion der
Gase
bei einander
gleichen
Anfangsspannungen
der
letzteren,"
in
Meyer,
S., ed., Festschrift.
Ludwig
Boltzmann
gewidmet zum
sechzigsten Geburtstage
20.
Februar
1904.
(Leipzig:
J.A. Barth,
1904): 350-366)
[Beiblätter
zu
den
Annalen
der
Physik 29
(1905):
237]
First it is
shown
that
a
homogeneous
gas
can
be
reduced
isothermally
to
an
n-time smaller
volume
without
supply
of
work
and
heat if
one assumes
the
existence of walls that
are
permeable
by a
part of the
mass
of
a
gas
but
not
by
the
rest
of the
mass
of the
gas; according
to
the author, this
assumption
[1]
does not
contain
any
contradiction.
Then
it is demonstrated that the
expression
for the
entropy
of
a system
consisting
of spatially
separated
gases
of
equal temperature
and
pressure
has
the
form
the
entropy
of the
system
after diffusion
can
be represented
by
the
same
formula.
From
this it is concluded that the
entropy
is the
same
before
and
after diffusion.
The
author
arrives
at
the
same
result
by
a
line of
reasoning
[3]
that
cannot be
reproduced
here.
In
this line of
reasoning
one
operates
with
a
surface that
separates
a
chemically
homogeneous
gas
into
two
parts such
that
in
thermal
and
mechanical
equilibrium
the
gas pressure
in the
two
parts
is
different;
it is
(implicitly) assumed
that
during
the
passing
of the
gas
through
this
surface
no
work
is transferred
to
the
gas
by
the latter.
[2]