The adsorption equilibrium data provide reliable evidence to design and optimize adsorption system
. Herein, Langmuir and Freundlich adsorption isotherm models (Eqs.
As most of the polluted effluents are not found under ordinary temperature, the influence of the thermal variations on the adsorption process must be considered to better understand its mechanism and to design a sustainable adsorption system
A closed adsorption system
with silica gel-[H.sub.2]O as the working pair suitable for the long-term storage of low-temperature heat was developed within the HYDES project (Gartler et al.
In order to confirm the best fit theoretical model for the adsorption system
, it is necessary to analyze the data using SS, combined with the values of the determined coefficient ([R.sup.2]).
Linear forms of the isotherms models are also widely adopted to determine the isotherm parameters or the most fitted model for the adsorption system
due to the mathematical simplicity .
The BET surface area was made with the gaseous step adsorption data obtained using an automatic adsorption system
(Autosorb-6, Quantachrome Corporation, USA), after the sample was vacuum-degasified at 250 [degrees]C.
Therefore, present adsorption system
more likely does not follow the kinetic models of Lagergren first-order, Bangham and Elovich.
But the adsorption system
containing a bioadsorbent and multi-constituents may not be as simple as the single-force-driving adsorption system
In order to optimize the design of an adsorption system
, three adsorption isotherms, namely, the Langmuir, Freundlich, and Temkin isotherm models in their linear forms were applied to the equilibrium data to find the suitable model that could be used for design purpose .
In order to calculate pseudo-first-order kinetics for adsorption system
, following equations were used:
Adsorption distance (D) is the nearest distance between the anatase Ti[O.sub.2] (101) surface and any atom of the gas molecule in the adsorption system
. Table 1 lists the adsorption energy, charge transfer, and adsorption distance of three stable adsorption structures in terms of the anatase Ti[O.sub.2] (101) surface and benzene ([C.sub.6][H.sub.6]), styrene ([C.sub.8][H.sub.8]), and isoprene.