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82    ENERGY AND THE FIRST LAW OF THERMODYNAMICS




                                             Internal energy








                                                   Initially       Finally
                                               (before reaction)  (after reaction)
                      Figure 3.2 In an endothermic process, the final product has more energy than the initial starting
                      materials. Energy has been taken in



                                      Worked Example 3.2 What is the change in internal energy dur-
              A process is endo-      ing sweating?
              thermic if the final
              state has more energy
                                      The definition of  U in Equation (3.1) is  U = U (final) − U (initial) ,so
              than does the ini-      the value of  U (evaporation) is obtained as U (water, g) − U (water, l) .We
              tial state. The word
                                      already know that the final state of the water is more energetic than
              derives from the Greek
              roots thermo (mean-     its initial state, so the value of  U is positive. We say such a process
                                      is endothermic.
              ing ‘energy’ or ‘tem-
              perature’) and endo
              (meaning ‘inside’ or      We feel cooler when sweating because the skin loses energy
              ‘within’). An endother-  by transferring it to the water on its surface, which then evapo-
              mic process takes in    rates. This process of water evaporation (sweating) is endothermic
              energy.                 because energy passes from the skin to the water, and a body
                                      containing less energy has a lower temperature, which is why we
                                      feel cooler.


                                                        Aside


                         Heat is absorbed from the surroundings while a liquid evaporates. This heat does not
                         change the temperature of the liquid because the energy absorbed equates exactly to
                         the energy needed to break intermolecular forces in the liquid (see Chapter 2). Without
                         these forces the liquid would, in fact, be a gas.
                           At constant temperature, the heat absorbed during evaporation is often called the
                         latent heat of evaporation. This choice of words arises from the way evaporation occurs
                         without heating of the liquid; ‘latent’ is Latin for ‘hidden’, since the energy added to is
                         not ‘seen’ as a temperature rise.
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