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376    Cha pte r  T h i r tee n

               silicate. Anhydrous silica gel and activated carbon are also used as
               bleaching adsorbents to a limited extent. The desired color of the oil
               can be obtained by adjusting the amount and type of earth used and
               the physical conditions under which the bleaching operation is carried
                                                   13
               out. Synthetic adsorbents and attapulgites  have also been used.
                   Because the necessity of using fuller’s earth involves not merely
               an expense but also loss of oil, and because the costs of decolorizing
               rise with the amount of earth used, the price paid for oil, such as cot-
               tonseed oil in the United States, among other factors, also depends on
               the ease with which the oil may be decolorized or bleached. Further-
               more, if too much fuller’s earth has to be used, the oil acquires an
               earthy flavor. The  American trade has, therefore, established two
               classes of cottonseed oil: bleachable and unbleachable. A bleachable
               oil is one that may be reduced to a very definite color standard when
               treated in a specifically prescribed way. 14
                            10
                   Nag et al.  have studied the effect of temperature and cost
               required to bleach oil. Kinetic studies on bleaching edible oil reported
               using a low-cost adsorbent (e.g., charred sawdust) at different tem-
               peratures. The changes in energy, enthalpy, and entropy during this
               process have been calculated as follows.
                   Nag et al.  have calculated the change in free energy (ΔG) due to
                           11
               the adsorption of inorganic salts from the solution to the surface of
               the solid [Eq. (13.1)]:
                                     C p
                            G
                           Δ= RTM/   ∫ Γ p  / C dC p  + RTM/  ln C p  (13.1)
                                           p
                                     0
                   The first term on the right-hand side of Eq. (13.1) is based on the
               Gibbs adsorption equation and represents the change in free energy
               (KJ/mole) due to the transfer of Γ (mg/m ) of the adsorbate to an
                                                    2
               interface when the solute concentration is changed from zero to C .
                                                                        p
               The value of this term can be obtained by graphical integration using
               the experimental data. The value of Γ /C  has been plotted for vari-
                                               p  p
               ous values of C  within the concentration range from zero to a fixed
                            p
               value of adsorbate concentration, and the graphical value of the area
               has been estimated. Here, M is the molecular weight of the oils, and
               the second term on the right-hand side represents the free-energy
               change due to hypothetical dilution of the bulk solution from the con-
               centration range C to one molal value, keeping Γ  (mg/m ) hypo-
                                                                  2
                               p                           p
               thetically fixed during the dilution process. ΔG for different values
               of C  has been estimated from the experimental data. For a diluted
                   p
               solution, the difference between molarity and molality has been
                        13
               neglected. ΔG is the free-energy change of the crude oil per gram of
               the adsorbent, that is, the saturated surface area of charred saw dust
               referred as Φ, where Φ = surface area = 1 . From kinetic studies, it
               is  observed that adsorption values will decrease, which show that
               colorants and impurities in the oils are adsorbed by charred sawdust.
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