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2.3 Gas–Liquid Interfacial Behavior                             53

            Fig. 2.8 Vapor pressure of a
            nonideal solution                        Henry’s law
                                             Partial pressure  P i  Nonideal solution



                                                             Raoult’s law



                                                              x i

            encounter in air emission studies. In practice, there is no such thing as an ideal
            solution, it is unlikely for two different types of molecules behave as if they were
            the same: the forces of attraction between solvent and solute are exactly the same as
            between the original solvent molecules. However, very dilute solutions obey the
            Raoult’s law to a reasonable approximation.



            2.3.3 A Real Gas–Liquid System


            For a real gas–liquid system, however, the vapor pressure decreases much faster
            than that calculated using Eq. (2.80) for extremely dilute solutions. As depicted in
            Fig. 2.8, the vapor pressure versus mole fraction of solvent in solution curve of a
            nonideal solution should follow Henry’s law at low concentrations and Raoult’s law
            at high concentrations.



            2.3.4 Interfacial Mass Transfer


            Lewis and Whitman (1924) two-film theory may be used to visualize the gas–liquid
            interfacial mass transfer. It is assumed that the gas and liquid phases are in turbulent
            contact with each other, and there is an interface area that separates these two
            phases. As shown in Fig. 2.9, near the interface, there is a small portion called film
            exists including a small portion (film) of the gas and another portion of liquid on
            either side of the interface. Beyond the films, fluids are assumed to be perfectly
            mixed with uniform concentrations. Mass transfer takes place in these two films.
            Fluids in these films are assumed to flow in a laminar or streamline motion.
            Therefore, molecular motion occurs by diffusion, which can be mathematically
            described. Concentration differences are negligible except in the films in the
            vicinity of the interface. Both films offer resistance to overall mass transfer. And the
            interface is at equilibrium described by Henry’s law and it offers no resistance to
            mass transfer.
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