Page 92 - Chemical equilibria Volume 4
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68     Chemical Equilibria
                           in the solid. In fact, the inserted atoms of H and the free sites form a solid
                           solution and we shall write the balance equation in the form:
                                2<<s>> + {H 2} = 2<<H>>                                  [3R.2]
                                             P/P 0
                                                  °  Sieverts’ measurements


                                            28
                                                          586K
                                            24
                                                            565K
                                            20

                                           16
                                                            553K

                                            12              523K

                                             8
                                                            473K
                                             4


                                              0    0.2    0.4   0.6    0.8   1   x

                                  Figure 3.1. Isothermal of pressure to composition for dissolution of
                                   hydrogen in palladium. Curves calculated by Larcher; [FOW 49]


                             By taking convention (I) as the reference of the solution which has two
                           components, the localized hydrogen atoms and the free sites, the law of mass
                           action is written as:


                                 ⎡  γ (I) x  ⎤  2  P 0  ()
                                                    P
                                 ⎢   H     ⎥    =  K 2                                   [3.41]
                                  γ ⎢  (I)  (1 x ⎥ ⎣  −  )  P
                                   s       ⎦  H  2
                             By choosing the model of a strictly-regular solution for the solid solution,
                           we obtain the results shown in Figure 3.1, where we show the hydrogen
                           pressure at equilibrium as a function of its atomic fraction in the solid. Note
                           that we have a very good coincidence between the curves given by the model
                           and the experimental points. These results are as satisfactory for zones with a
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