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116    ENERGY AND THE FIRST LAW OF THERMODYNAMICS


                                                            O
                        Table 3.3 Table of mean bond enthalpies  H  as a function of bond order and atoms. All
                                                            BE
                        values cited in kJ mol −1  and relate to data obtained (or corrected) to 298 K
                                C       N      S       O       I      Br     Cl      F      H
                        H–     414     389    368     464     297    368     431    569     435
                        F–     490     280    343     213     280    285     255    159
                        Cl–    326     201    272     205     209    218     243
                        Br–    272     163    209      –      176    192
                        I–     218      –      –       –      151
                        O–     326     230    423     142
                        O=     803 a   590 b  523     498
                        O≡    1075      –      –       –
                        S–     289      –     247
                        S=     582      –      –
                        N–     285     159
                        N=     515     473
                        N=     858     946
                        C–     331
                        C=     590 c
                        C≡     812
                        a 728 if –C=O.
                        b 406 if –NO 2 ; 368 if –NO 3 .
                        c 506 if alternating – and =.



                      moment’s thought suggests an alternative way of writing Equation (3.31), i.e.:

                           O
              Values of  H r  can
                                                     bonds formed      bonds broken
              vary markedly from          H  O  =−            ν H  O  −         ν H  O     (3.32)
              experimental values if         r                    BE                BE
                                                         i                 i
              calculated in terms of
                 O
               H .
                 BE
                                      Note again the minus sign, which we retain for the same reason as
                                      for Equation (3.31).
                        Each of these bond enthalpies is an average enthalpy, measured from a series of
                                                    O
                      similar molecules. Values of  H BE  for, say, C–H bonds in hydrocarbons are likely
                      to be fairly similar, as shown by the values in Table 3.3. The bond energies of C–H
                      bonds will differ (sometimes quite markedly) in more exceptional molecules, such as
                      those bearing ionic charges, e.g. carbocations.  H  O  values differ for the OH bond
                                                                   BE
                      in an alcohol, in a carboxylic acid and in a phenol.
                        These energies relate to bond rearrangement in gaseous molecules, but calculations
                      are often performed for reactions of condensed phases, by combining the enthalpies
                      of vaporization, sublimation, etc. We can calculate a value without further correction
                      if a crude value of  H r is sufficient, or we do not know the enthalpies of phase
                      changes.
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