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672    C h a p t e r   1 5                                                                                                H i g h - Te m p e r a t u r e   C o r r o s i o n    673



                       Species   State        H            S             G
                                           (kJ mol )   (J mol  K )   (kJ mol )
                                                 −1
                                                                           −1
                                                               −1
                                                            −1
                       Cr        gas       422.02      207.58        116.25
                       Cr        solid      36.97       70.78        −67.29
                       Cr O      solid    −993.71      276.68       −1401.27
                         2  3
                       CrO       gas       230.37      295.28        -204.57
                       CrO       gas       −12.73      351.72       −530.81
                          2
                       CrO       gas      −204.60      381.78       −766.96
                          3
                       O         gas        39.67      257.73       −339.97
                         2
                      TABLE 15.3  Thermochemical Data for the Cr-O System at 1473 K

                         The equilibrium constant (K ) is evaluated with Eq. (15.12), giving
                                                p
                      an equilibrium pressure of oxygen calculated with Eq. (15.12).
                                                  −∆
                                                    G
                                          logK =  2 303⋅  0 RT            (15.11)
                                              p
                                                  .
                                     log(p  ) = −  2  logK Cr O 3 = − 17.90    (15.12)
                                                     2
                                         O 2  3     p
                         The dotted vertical line in Fig. 15.4 represents this boundary. At
                      low  oxygen  pressure  it  can  be  seen  that  the  presence  of  Cr(g)  is
                      independent of oxygen pressure. For oxygen pressures greater than


                       Reaction                                  DG 0
                                                               (kJ mol )
                                                                     −1
                       2 Cr(s) + 1.5 O  = Cr O                  −756.72
                                   2    2  3
                       Over Cr(s)
                       Cr(s) = Cr(g)                             183.54
                       Cr(s) + 0.5 O  = CrO(g)                    32.71
                                  2
                       Cr(s) + O  = CrO (g)                     −123.54
                              2     2
                       Cr(s) + 1.5 O  = CrO (g)                 −189.71
                                  2    3
                       Over Cr O
                             2  3
                       0.5 Cr O (s) = Cr(g) + 0.75 O             561.90
                            2  3              2
                       0.5 Cr O (s) = CrO(g) + 0.25 O            411.07
                            2  3               2
                       0.5 Cr O (s) + 0.25 O = CrO (g)           254.81
                            2  3        2    2
                       0.5 Cr O (s) + 0.75 O  = CrO (g)          188.65
                            2  3        2     3
                      TABLE 15.4  Standard Energy of Reactions for the Cr-O System at 1473 K
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