Porosimetry is
an analytical technique used to determine various quantifiable
aspects of a material's porous nature, such as pore diameter,
total pore volume, surface
area, and bulk and absolute densities.
The technique involves the intrusion of
a non-wetting liquid (often mercury) at high pressure into
a material through the use of a porosimeter. The pore size can be
determined based on the external pressure needed to force the liquid into a
pore against the opposing force of the liquid's surface
tension.
A force balance equation known as
Washburn's equation for the above material having cylindrical pores is given
as:
PG= pressure of gas
O= surface tension of liquid
日= contact angle of intrusion liquid
DP= pore diameter
Since the technique is usually done
under vacuum, the gas pressure begins at zero. The contact
angle of mercury with most solids is between 135° and 142°,
so an average of 140° can be taken without much error. The surface
tension of mercury at 20 °C under vacuum is 480 mN/m. With the
various substitutions, the equation becomes:
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