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164                              Entropy Analysis in Thermal Engineering Systems


          Table 10.3 The species considered in the equilibrium model reported in Ref. [21].
          Group  Chemical formula

          1      C(g), CH, CH 2 ,CH 3 ,CH 4 ,C 2 H 2 ,C 2 H 4 ,C 2 H 6 ,C 3 H 8
          2      H, H 2 ,O,O 2 , CO, CO 2 ,OH,H 2 O, H 2 O 2 , HCO, HO 2
          3      N, N 2 , NCO, NH, NH 2 ,NH 3 ,N 2 O, NO, NO 2 , CN, HCN, HCNO
          4      S(g), S 2 (g), SO, SO 2 ,SO 3 , COS, CS, CS 2 , HS, H 2 S
          5      C(s), S(s)


          oxygen, nitrogen, and sulfur. The gasification products then consist of a
          homogeneous phase comprising the gaseous species and two single-species
          solid phases. The reactions included in the equilibrium model are:
          (a) combustion reactions

                                       1
                                   C+ O 2 ! CO                       (10.23)
                                       2
                                        1
                                  CO + O 2 ! CO 2                    (10.24)
                                        2
          (b) carbon-steam and Boudouard reactions


                                 C+H 2 O ! CO + H 2                  (10.25)

                                   C+CO 2 ! 2CO                      (10.26)
          (c) methanation

                                   C+2H 2 ! CH 4                     (10.27)
          (d) water-gas shift reaction


                                                                     (10.28)
                                CO + H 2 O ! CO 2 +H 2
          The predicted best-fit equilibrium temperature substantially deviates
          from the actual operation temperature. The modification made by the
          authors was to incorporate the actual amount of carbon converted into
          the products, whereas the other elements were assumed to completely con-
          vert. This effect is accounted for by a fractional conversion factor, β,
          which can be determined by the following correlation obtained from coal
          gasification tests.

                                            0:3
                                β ¼ 0:0647αT   +0:465                (10.29)
          for α¼0.3–0.5, T¼1000–1200 K.
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