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178    PHASE EQUILIBRIA

                      Further thermodynamic background: terminology


                      In the thermodynamic sense, a phase is defined as part of a chemical system in
                      which all the material has the same composition and state. Appropriately, the word
                      comes from the Greek phasis, meaning ‘appearance’. Ice, water and steam are the
                                      three simple phases of H 2 O. Indeed, for almost all matter, the three
              A phase is a compo-     simple phases are solid, liquid and gas, although we must note that
              nent within a system,   there may be many different solid phases possible since H 2 O (s)
              existing in a precisely  can adopt several different crystallographic forms. As a related
              defined physical state,
                                      example, the two stable phases of solid sulphur are its monoclinic
              e.g. gas, liquid, or a  and orthorhombic crystal forms.
              solid that has a single
                                        Ice is a solid form of water, and is its only stable form below
              crystallographic form.    ◦
                                      0 C. The liquid form of H 2 O is the only stable form in the tem-
                                                               ◦
                                                                             ◦
                                      perature range 0 <T < 100 C. Above 100 C, the normal, stable
                                                                                              ◦
                      phase is gaseous water, ‘steam’. Water’s normal melting temperature T (melt) is 0 C
                                                                                          O
                      (273.15 K). The word ‘normal’ in this context implies ‘at standard pressure p ’. The
                                                5
                               O
                      pressure p has a value of 10 Pa. This temperature T (melt) is often called the melting
                      point because water and ice coexist indefinitely at this temperature and pressure, but
                      at no other temperature can they coexist. We say they reside together at equilibrium.
                                        To melt the ice, an amount of energy equal to  H  O  must be
                                                                                     (melt)
              Concerning transi-      added to overcome those forces that promote the water adopting
              tions between the       a solid-state structure. Such forces will include hydrogen bonds.
              two phases ‘1’ and      Re-cooling the melted water to re-solidify it back to ice involves
              ‘2’, Hess’s Law states  the same amount of energy, but this time energy is liberated,so
                                          O
                                                      O
              that  H (1→2) =−1 ×      H  (melt)  =− H (freeze) . The freezing process is often called fusion.
               H (2→1) .              (Strictly, we ought to define the energy by saying that no pres-
                                      sure–volume work is performed during the melting and freezing
                      processes, and that the melting and freezing processes occur without any changes in
                      temperature.)
                        Table 5.1 gives a few everyday examples of phase changes, together with some
                      useful vocabulary.
                        Two or more phases can coexist indefinitely provided that we maintain certain
                      conditions of temperature T and pressure p. The normal boiling temperature of water
                            ◦
                                                                        O
                      is 100 C, because this is the only temperature (at p = p ) at which both liquid and
                                   Table 5.1 Summary of terms used to describe phase changes

                      Phase transition       Name of transition             Everyday examples
                      Solid → gas       Sublimation                    ‘Smoke’ formed from dry ice
                      Solid → liquid    Melting                        Melting of snow or ice
                      Liquid → gas      Boiling or vaporization        Steam formed by a kettle
                      Liquid → solid    Freezing, solidification or fusion  Ice cubes formed in a fridge; hail
                      Gas → liquid      Condensation or liquification   Formation of dew or rain
                      Gas → solid       Condensation                   Formation of frost
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