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NITROGEN ISOTHERM AND SOLID SURFACE AREA 87
versally accepted standard method for measurement of surface area is the
method of Brunauer, Emmett, and Teller (BET) (Brunauer et al., 1938;
Adamson, 1967; Gregg and Sing, 1982), in which one determines the adsorp-
tion isotherm of any of a number of suitable vapor adsorbates (e.g., N 2) on the
solid (adsorbent) of interest. Suitable adsorbates must be chemically inert to
the solid, not subject to molecular sieving, and confined to the exterior of the
solid (i.e., they must exhibit no significant penetration or site specific interac-
tion with the solid). The BET model [Eq. (4.7)] calculates the monolayer
capacity (Q m) from the adsorption isotherm; the surface area per adsorbate
molecule (a m) is estimated from the liquid density as
23
.
a m = 109 ( M d N) (6.1)
l
where M is the molecular weight of the adsorbate, d l is the adsorbate liquid
3
density, and N is the Avogadro number. Using d l = 0.808g/cm for liquid N 2 at
2
77K gives a m = 16.2 ¥ 10 -20 m per N 2 molecule. The solid samples prior to
adsorption studies are usually outgassed under vacuum (or under an inert gas)
at some selected temperature.
Although N 2 vapor at the liquid N 2 boiling point of 77K is the adsorbate
most frequently employed for surface-area determination, the method is by
no means limited to N 2, and a wide variety of other suitable adsorbates (e.g.,
krypton) produce reasonably consistent results on the same solid. The surface
area of a solid, considered to be the solid–gas or solid–vacuum interfacial area,
which is external to the material, is assumed both to preexist and to be un-
affected by the measurement. Any vapor that may potentially react with or
penetrate into the solid is not appropriate for surface-area determination. The
surface area is therefore an intrinsic property of the solid; that is, within the
precision of the method, it should be independent of the choice of acceptable
adsorbates (Brunauer et al., 1938). There has been a serious confusion in the
earlier soil-science literature about the surface areas of soils and clays to which
we shall attend later.
We now consider the adsorption data of N 2 vapor at liquid N 2 temperature
(77K) on selected natural solids given in Table 6.1. The solid samples exam-
ined were outgassed under a stream of helium at temperature ranging from
100°C, as for activated carbon, to 150 to 200°C for the rest. Plots of the N 2 -
vapor uptake (Q) versus N 2 relative pressure (P/P°) for relatively pure silica
(Alfa Aesar Co.), alumina (calcined, Alcoa Co.), goethite (Ward’s Natural
Science), Georgia kaolinite (KGa-2), K-saturated Arizona montmorillonite
(K-SAz-1), Ca-saturated Arizona montmorillonite (Ca-SAz-1), and activated
carbon (CAL grade, Calgon Co.) are shown in Figures 6.1 to 6.3. For the three
mineral oxides and the two clays, the N 2 isotherms are type II, whereas for
activated carbon the isotherm is more like type IV, of the Brunauer classifi-
cation. Among the mineral oxides and clays, certain differences are visible with
respect to their (concave-downward) curvatures at low P/P° and the related