Dean,

I will try to answer your questions, pasted below:

Just a question. Does Stokes Law apply to colloidal suspensions?? Does the +
charge on the particles modify the gravitational action on those particles??


According to Stokes' Law, the terminal velocity of a spherical particle
settling under the influence of gravity in a fluid of a given density and
viscosity is proportional to the square of the particle's radius.  With the
particles we are dealing with, the terminal velocity is attained almost
instantaneously.  Therefore, we can assume that a particle starts to settle
at a constant terminal velocity immediately after the container of fluid is
set to rest.  However, Stokes' Law rests upon several simplifying
assumptions which are listed below:

1. The particles are sufficiently large to be unaffected by the thermal
(Brownian) motion of the fluid molecules

2. The particles are rigid, spherical, and smooth.

3. All particles have the same density

4. The suspension is sufficiently dilute that particles do not interfere
with one another and each settles independently.

5. The flow of the fluid around the particles is laminar, i.e., no particle
exceeds the critical velocity for the onset of turbulence.

In the case of CS preparations at concentrations typically produced, I
believe that points 2 through 5 do not have any significant effect on the
settling rate calculated by Stokes' Law.  It is point 1 that is problematic.
Very small particles, those less than about 1 micron diameter, can be
retained in suspension against the force of gravity due to the random
bombardment of the particle by molecules in the fluid suspending agent.
This is the reason why small particles can form a stable colloid in a fluid
even though they are not in solution.

In my chemistry books, a colloid is defined as a fluid containing particles
in a size range from 10 angstroms to 1 micron.  So apparently, a particle
smaller in size than about one micron does not settle at a rate that can be
described purely by Stokes' Law.  We must take into account the effects of
Brownian motion, which tend to keep the particles suspended.  If there is
someone on this list who is familiar with colloid chemistry, perhaps they
could add information about what is known about settling rates of particles
less than one micron in diameter.  As I have time, I will try to do some
library research on this point.

As regards the charge on the silver particles, I will try to give my best
answer.  The silver particles in the CS all have a positive charge as I
understand it.  Like charges repel each other, which means that the silver
particles will want to stay apart.  These repelling forces will be active in
all directions so the net effect is that they will not interfere with the
settling rate imposed by gravity.

Now if we have particles of opposite charge in the fluid, they will be
attracted to each other and form larger aggregate particles.  The aggregates
would settle at a faster rate then the individual particles.  This is the
principle used with flocculating agents, which have opposite charges from
material in suspension.  They are often used in treatment of liquid wastes
to settle out suspended solids.

In the case of CS preparations, at least those produced with pure water, the
only particles in suspension should be the silver particles.  Therefore,
there should not be any flocculation (aggregation) of particles which would
increase the settling rate.  I would invite any others on the list to
contribute their knowledge on this point.

I hope this answers your questions.

Jeff La Favre


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