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9.2 Gas-Liquid Systems 239

                                                                                               (9.1-47)


                              Corresponding equations for the two special cases of gas-film mass-transfer control
                            and surface-reaction-rate control may be obtained from these results (they may also be
                            derived individually). The results for the latter case are of the same form as those for
                            reaction-rate control in the SCM (see Table 9.1, for a sphere) with R, replacing (con-
                            stant)  R (and (variable) R replacing rc  in the development). The footnote in Example
                            9-2 does not apply here (explain why).

       9.2 GAS-LIQUID SYSTEMS


       9.2.1  Examples of Systems

                            Gas-liquid reacting systems may be considered from one of two points of view, de-
                            pending on the purpose of the reaction: (1) as a separation process or (2) as a reaction
                            process.
                              In case (l), the reaction is used for the removal of an undesirable substance from a
                            gas stream. In this sense, the process is commonly referred to as “gas absorption with
                            reaction.” Examples are removal of H,S or CO, from a gas stream by contact with an
                            ethanolamine (e.g., monoethanolamine (MEA) or diethanolamine (DEA)) in aqueous
                            solution, represented by:

                                    H,S(g)  +  HOCH,CH,NH,(MEA,e,     --f  HS- + HOCH,CH,NH;       (4
                       CO,(g)  + 2(HOCH,CH,),NH(DEA,    9 +  (HOCH,CH,),NCOO-    + (HOCH,CH,),NH;
                                                                                                   (W

                              In case (2), the reaction is used to yield a desirable product. Examples are found in
                            the manufacture of nitric acid, phenol, and nylon 66, represented, respectively, by:

                                              3NWd    + &O(e)   4  2HNO,(9  + NO(g)                (0

                                             V%(e)  + WYMd      -+  C,H,COOH  + H,O               (D)
                                             C,H,COOH    + (1/2)0,   +  C,H,OH  + CO2  I

                                                   C6H12(9  + O,(g) +  adipic acid                 (El

                              The types of reactors and reactor models used for such reactions are considered in
                            Chapter 24. In this chapter, we are concerned with the kinetics of these reactions, and
                            hence with reaction models, which may have to include gas-liquid mass transfer as well
                            as chemical reaction.
                              Similar to the case of gas-solid reactions, we represent the stoichiometry of a  gas-
                            liquid reaction in a model or generic sense by

                                                      A(g) + bB(9 + products                    (9.2-1)
                            B(9 may refer to pure liquid B or, more commonly, to B dissolved in a liquid solvent.
                            Furthermore, we assume throughout that B(9 is nonvolatile; that is, B occurs only in
                            the liquid-phase, whereas A may be present in both phases. This assumption implies
                            that chemical reaction occurs only in the liquid phase.
                              In the treatment to follow, we first review the two-film model for gas-liquid mass
                            transfer, without reaction, in Section 9.2.2, before considering the implications for ki-
                            neticsin  Section 9.2.3.
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