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222    PHASE EQUILIBRIA



                         We can cancel the gas constant R, the volume and temperature, which are all constant,
                         to yield
                                            p (total) = p (petrol) + p (oxygen) + p (nitrogen)

                         which is Dalton’s law, Equation (5.19).





                       How do anaesthetics work?

                      Gases dissolving in liquids: Henry’s law


              ‘Anaesthesia’ is the    An anaesthetist administers chemicals such as halothane (III)to a
              science of making       patient before and during an operation to promote unconsciousness.
              someone unconscious.    Medical procedures such as operations would be impossible for
              The word comes from     the surgeon if the patient were awake and could move; and they
              the Greek aesthesis,    would also be traumatic for a patient who was aware of what the
              meaning sensation
                                      surgery entailed.
              (from which we get
              the modern English
              word ‘aesthetic’, i.e. to                         F      Br Cl
              please the sensations).
              The initial ‘ana’makes                           F
              the word negative, i.e.                           F       H
              without sensation.                                   (III)


                                        Although the topic of anaesthesia is hugely complicated, it is
              A really deep, chem-    clear that the physiological effect of the compounds depends on
              ically induced sleep    their entrapment in the blood. Once dissolved, the compounds pass
              is termed ‘narcosis’,   to the brain where they promote their narcotic effects. It is now
              from the Greek narke,   clear that the best anaesthetics dissolve in the lipids from which
              meaning ‘numbness’.     cell membranes are generally made. The anaesthetic probably alters
              Similarly, we similarly
              call a class-A drug a   the properties of the cell membranes, altering the rates at which
              ‘narcotic’.             neurotransmitters enter and leave the cell.
                                        A really deep ‘sleep’ requires a large amount of anaesthetic and a
                                      shallower sleep requires less material. A trained anaesthetist knows
              Henry’s law is named    just how much anaesthetic to administer to induce the correct depth
              after William Henry     of sleep, and achieves this by varying the relative pressures of the
              (1775–1836), and says
                                      gases breathed by the patient.
              that the amount of gas    In effect, the anaesthetist relies on Henry’s law, which states
              dissolved in a liquid or
              solid is in direct pro-  that the equilibrium amount of gas that dissolves in a liquid is
              portion to the partial  proportional to the mole fraction of the gas above the liquid. Henry
              pressure of the gas.    published his studies in 1803, and showed how the amount of gas
                                      dissolved in a liquid is directly proportional to the pressure (or
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