Page 253 - Physical chemistry understanding our chemical world
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220    PHASE EQUILIBRIA

                                      showing that the water will freeze at the lower temperature of
              This value of  T repre-
              sents the depression of  (273.16 − 0.32) K.
              the freezing tempera-
              ture, so it is negative  SAQ 5.6 Pure     water  has   a  normal   freezing  point
                                      of 273.15 K. What will be the new normal freezing point
                                                                                     3
                                      of water if 11 g of KCl is dissolved in 0.9dm of water?
                      The cryoscopic constant of water is 1.86 K kg −1  mol −1 ; assume the density
                      of water is 1 g cm −3 , i.e. molality and molarity are the same.

                        An almost identical equation relates the elevation of boiling point to the molality:


                                   T (elevation) = K (ebullioscopic) × 1000 × molality of the salt  (5.18)


                      where K (ebullioscopic) relates to the elevation of boiling temperature. Table 5.3 con-
                      tains a few sample values of K (ebullioscopic) . It can be seen from the relative val-
                      ues of K (ebullioscopic) and K (cryoscopic) in Table 5.3 that dissolving a solute in a sol-
                      vent has a more pronounced effect on the freezing temperature than on the boiling
                      temperature.




                                                        Aside

                         The ice on a car windscreen will also melt when squirted with de-icer. Similarly, we add
                         anti-freeze to the water circulating in a car radiator to prevent it freezing; the radiator
                         would probably crack on freezing without it; see the note on p. 194.
                           Windscreen de-icer and engine anti-freeze both depress the freezing point of water
                         via the same principle as rock salt depressing the temperature at which ice freezes on a
                         road. The active ingredient in these cryoscopic products is ethylene glycol (II), which
                         is more environmentally friendly than rock salt. It has two physicochemical advantages
                         over rock salt: (1) being liquid, it can more readily enter between the microscopic
                         crystals of solid ice, thereby speeding up the process of cryoscopic melting; (2) rock
                         salt is impure, whereas II is pure, so we need less II to effect the same depression of
                         freezing point.


                                                      CH 2   CH 2
                                                    OH          OH
                                                          (II)


                           Ethylene glycol is also less destructive to the paintwork of a car than rock salt is,
                         but it is toxic to humans.
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