Page 148 - Adsorption Technology & Design, Elsevier (1998)

Design procedures 137

g

Y
Vm 3
Vm a
Co kg/m 3 cf kg/m 3

i ~

M kg
q kg/kg

Figure 6.1 Single-stage contacting of a batch of fluid with a batch of adsorbent.

The adsorbent is initially free from the impurity. The isotherm is linear (that
is, it follows Henry's law as described in Section 3.3.2) and is given by"

(6.1)
q = Kc
where q is the loading of the impurity on the GAC (kg impurity/kg GAC) in
equilibrium with the impurity concentration in the water, c (kg/m3), and K is
the equilibrium constant (m3/kg).
It is assumed that water is not adsorbed and since the impurity
concentration is always low, the volume of solution does not change. The
mass balance on the impurity is therefore as follows:
V (co - cf) = Mq (6.2)

If the adsorbent were not initially free from the impurity but had been