Page 276 - Gas Adsorption Equilibria

262 Chapter 5

Introducing the ratio of volumes (b) into equation (5.54), the volume
of the interstitial gas phase at the pendulum can be rewritten as

From gravimetric measurements – using preferably a magnetic suspension
balance – one can determine the quantity

Here is the mass of sorbent material included in the basket at the
magnetic suspension, cp. Figs. 3.4, 4.12, 5.9, is the mass of gas sorbed in
and is the volume of the sorbent / sorbate in the
swollen state. To facilitate rotation we introduce the ratio of sorbent
masses at the balance and the pendulum defined by

Due to the extensivity property of and we have also

In view of (5.59-5.61) equation (5.58) can be rewritten as

Similarly we have from (5.52) and (5.57)

Equations (5.62, 5.63) are two linear equations for and having the
solutions