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230   Lignocellulosic Biomass to Liquid Biofuels


          data set, and periodic standards are required to check the variations. Also
          process parameters such as velocity, temperature, CO, and H 2 reactor
          pressure require investigations to develop kinetic models.
             A kinetic model was developed by Kellner and Bell [111] and
          Takoudis [112] for the hydrocarbons production without assumptions on
          a rate-determining step. However, several assumptions were introduced to
          solve the resulting set of equations. In general, the development of kinetic
          model should be based on rate-determining steps with particular mecha-
          nistic scheme during FT synthesis.
             The FT synthesis could be expressed as the combination of the FT
          reaction and the WGS reaction [Eqs. (7.6) and (7.7)].
                                  m        1

                       CO 1 1 1      H 2 - C n H m 1 H 2 O R FT Þ      (7.6)
                                                         ð
                                  2n       n
                            CO 1 H 2 O2CO 2 1 H 2 R WGS Þ              (7.7)
                                                   ð
             Kinetic equations and model could be developed on the overall syngas
          consumption [68,108,112 116], which could be individualistic of the WGS
          equilibrium for FT products. The FT reaction rate allows the variation in
          syngas consumption rate by reaction stoichiometry, which varies depending
          on the catalyst and is presented in Table 7.4. Several kinetic studies were
          carried out using fixed-bed reactors at high syngas conversion. However,
          some reactor types such as plug flow reactor (PFR) cannot be used for
          studying the intrinsic kinetics of the FT synthesis due to the CO and H 2
          partial pressure, which vary along the axis of the reactor [104].Someother
          difficulties could arise, because of heat and mass-transfer rate, secondary reac-
          tions, and self-product reticence. In order to achieve a compromise between

          Table 7.4 Kinetic equations rate for syngas consumption rate, which proposed in
          Table 7.5 [35].
          Kinetic equations                Eq. no.       References

                                           (7.8)         [64,68]
          kP H 2
              P                            (7.9)         [68,105,113]
          kP H 2 CO =P CO 1 aP H 2 O
            2
          kP P CO =P CO P H 2  1 aP H 2 O  (7.10)        [105,108,114]
            H 2
              P                            (7.11)        [68,106,109,114]
          kP H 2 CO =P CO 1 aP CO 2
            1=2 1=2     1=2   1=2 2        (7.12)        [110]
          kP   p  =ð1a1P  1bP   Þ
            CO H 2      CO    H 2
               1=2            1=2 2        (7.13)        [104]
          kP CO p  =ð1a1P CO 1bP  Þ
               H 2            H 2
                           2
                 =ð11bP CO Þ               (7.14)        [115,116]
          kP CO P H 2
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