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184    PHASE EQUILIBRIA



                                                    Diamond
                                            10 6                    Liquid
                                          Applied pressure p/p O  10 4 2  Graphite  Vapour







                                            10





                                             1
                                                    2000      4000      6000
                                                         Temperature/K
                      Figure 5.4 The phase diagram of carbon showing the two solid-state extremes of diamond and
                      graphite. Graphite is the thermodynamically stable form of carbon at room temperature and pressure,
                      but the rate of the transition C (diamond) → C (graphite) is virtually infinitesimal

              5.2     Pressure and temperature changes
                      with a single-component system:
                      qualitative discussion


                       How is the ‘Smoke’ in horror films made?

                      Effect of temperature on a phase change: sublimation

                      Horror films commonly show scenes depicting smoke or fog billowing about the
                      screen during the ‘spooky’ bits. Similarly, smoke is also popular during pop concerts,
                                      perhaps to distract the fans from something occurring on or off
              Dry ice is solid car-   stage. In both cases, it is the adding of dry ice to water that produces
              bon dioxide.            the ‘smoke’.
                                        Dry ice is carbon dioxide (CO 2 ) in its solid phase. We call it
                                                          O
                      ‘dry’ because it is wholly liquid-free at p : such solid CO 2 looks similar to normal ice
                      (solid water), but it ‘melts’ without leaving a puddle. We say it sublimes, i.e. undergoes
                      a phase change involving direct conversion from solid to gas, without liquid forming
                      as an intermediate phase. CO 2(l) can only be formed at extreme pressures.
                        Solid CO 2 is slightly denser than water, so it sinks when placed in a bucket of
                                                                      ◦
                      water. The water is likely to have a temperature of 20 C or so at room temperature,
                                                                                  ◦
                      while typically the dry ice has a maximum temperature of ca −78 C (195 K). The
                      stable phase at the temperature of the water is therefore gaseous CO 2 . We should
                      understand that the CO 2(s) is thermodynamically unstable, causing the phase transition
                      CO 2(s) → CO 2(g) on immersion in the water.
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