Page 72 - Gas Adsorption Equilibria

58 Chapter 1

b) One may consider as an optimization parameter which is to be
determined by a least square optimization procedure of measured
adsorption data. To realize this idea one has to introduce an analytic
function for the masses adsorbed i. e. a so-called adsorption isotherm,
cp. Chap. 7,

Here indicate certain parameters whose numerical values also have
to be determined by the optimization procedure.

In view of the fact that the most often used measurement methods for gas
adsorption equilibria, namely the volumetric/manometric method, Chap. 2 and
the gravimetric method, Chap. 3, only allow one to measure instead of or
the so-called reduced mass cp. Eq. (1.5),

with

indicating the total volume of the sorbent / sorbate system, cp. Figure 1.20,
the optimization function is, in view of (1.24), (1.29)

Here are measured data and are
optimization parameters. Obviously, such a procedure only will lead to
meaningful results if there are enough experimental data available, i. e. if
Also, the resulting numerical value for will depend on the
analytic form of the adsorption isotherm (1.30) actually chosen, cp. Chap. 7.

Once the density has been determined, the absolute mass adsorbed
can be calculated from Eqs. (1.24), (1.29), (1.31) as