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368                                        12  Carbon Capture and Storage

            amines is usually described by the zwitterion mechanism, whereas the reaction with
            tertiary amines is described by the base-catalyzed hydration of CO 2 [54].
              According to the zwitterion mechanism [16] the reaction between CO 2 and the
            amine (AmH) proceeds through the formation of a zwitterion as an intermediate
            (R1, Eq. (12.27)).

                                       k f1
                                               þ
                             CO 2 + AmH $ AmH COO        ðR1Þ           ð12:27Þ
                                       k b1
              The zwitterion reacts with a base or bases (Bs) to form carbamate as the final
            product (R2, Eq. (12.28)).

                                      k B
                    AmH COO +Bs ! AmCOO + BsH          þ    ðR2Þ        ð12:28Þ
                         þ


              When the base is MEA its self, Eqs. (12.27) and (12.28) lead to an overall
            reaction. It shows that the stoichiometric CO 2 to MEA mole ratio is 0.5 mol CO 2
            per mole of MEA.
              With water in the solution, the following reactions may also take place:.
                                              þ
                                    H 2 O $ H þ OH                      ð12:29Þ
                                          k OH
                                CO 2 þ OH $ HCO       ðR3Þ              ð12:30Þ

                                                 3
                                       k H 2 O

                             CO 2 þ H 2 O $ HCO þ H þ    ð R4Þ          ð12:31Þ
                                               3
              Assuming zwitterion concentration at quasi-steady state, the overall rate of
            reaction for R1 and R2 is

                                          þ                þ
                      ½
                                     ½
                                                                   ½
                                                      ½
              r 1;2 ¼ k f1 CO 2 Š AmH½  Š   k b1 AmH COO Š ¼ k B AmH COO Š BsŠ ð12:32Þ
              Reorganizing Eq. (12.32) leads to
                                    r 1;2         k f1
                                          ¼                             ð12:33Þ
                                ½ CO 2 Š AmHŠ  1 þ k b1 = k B BsŠÞ
                                                      ½
                                    ½
                                                   ð
              When R2 is instantaneous, k b1   k B , as it is for some amines. Almost every
            zwitterion is deprotonated before it can revert to CO 2 and amine through the
            backward reaction in R1. Mathematically, the denominator in Eq. (12.33) can be
            simplified by k b1 = k B Bs½ð  ŠÞ ! 0 and Eq. (12.33) becomes
                                            ½
                                    r 1;2 ¼ k f1 CO 2 Š AmH½  Š         ð12:34Þ
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