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2







             Introducing interactions

             and bonds










             Introduction

             We look first at deviations from the ideal-gas equation, caused by inter-particle
             interactions. Having described induced dipoles (and hydrogen bonds) the interaction
             strengths are quantified in terms of the van der Waals and virial equations of state.
               Next, formal bonds are described, both covalent (with electrons shared between
             participating atoms) and ionic (in which electrons are swapped to form charged ions;
             these ions subsequently associate in response to electrostatic forces). Several under-
             lying factors are expounded, such as ionization energy I and electron affinity E (ea) .
             The energy changes occurring while forming these interactions are alluded to, but are
             treated properly in Chapter 3.

     2.1     Physical and molecular interactions


              What is ‘dry ice’?

             Deviations from the ideal-gas equation


             We call solid carbon dioxide (CO 2 ) ‘dry ice’. To the eye, it looks
                                                                          Substances sublime if
             just like normal ice, although it sometimes appears to ‘smoke’;
                                                                          they pass directly from
             see below. Carbon dioxide is a gas at room temperature and only
                                                                          asolid to form agas
             solidifies (at atmospheric pressure) if the temperature drops to about  without being a liquid
                 ◦
             −78 C or less, so we make dry ice by cooling gaseous CO 2 below
                                                                          as an intermediate
             its freezing temperature. We call it dry ice because, unlike normal  phase; see Chapter 5.
             ice made with water, warming it above its melting temperature
             leaves no puddle of liquid, because the CO 2 converts directly to a gas. We say
             it sublimes.
               Gases become denser as we lower their temperature. If CO 2 was still a gas at
                 ◦
                                                           3
             −90 C, then its molar volume would be 15 200 cm . In fact, the molar volume of
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