DOC.
15
117
Analogously,
B*
=
B(1
-
p)
,
C*
=
C(1
-
p)
.
If
we
put
5*2
=
A*2
+
B*2
+
C*2
,
[40]
then
we
have, neglecting infinitesimally
small
terms
of
higher
order,
£*2
= 52(1
-
2tp)
.
We
found for the
development
of
heat
per
unit time
and volume
V*
=
2S2k(l
-
ip)
.
[41]
If
k*
denotes the coefficient
of viscosity of
the
mixture,
we
have
J*
=
26*2k*
.
With neglect
of infinitesimal quantities
of
higher
order, the last three
equations yield
k*
=
k(1
+
p)
.
[42]
Thus
we
obtain the
following
result:
If
very
small rigid
spheres
are suspended
in
a
liquid,
the coefficient
of internal friction
increases
by
a
fraction
that is
equal
to
the total
volume
[43]
of the
spheres
suspended
in unit
volume, provided
that this total
volume
is
very
small.
§3.
On
the
volume
of
a
dissolved substance
whose
molecular
volume
is
[44]
large
compared
with
that
of
the
solvent
Consider
a
dilute solution of
a
substance that
does
not
dissociate in
the solution.
A
molecule of the dissolved
substance shall
be large
compared
with
a
molecule of the solvent
and
shall
be
considered
as
a
rigid
sphere
of