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230    CHAPTER 10 THERMODYNAMICS OF COMBUSTION




             FIGURE 10.9
                                                       Pressure, p  2         3
             peV diagram for constant pressure combustion.















                                                                                      1


                                                                                       Volume, V


                The stoichiometric chemical equation is
                                C 6 H 6 þ 7:5ðO 2 þ 3:76N 2 Þ/6CO 2 þ 3H 2 O þ 23:5N 2 :  (10.35)
                The rich mixture equation is

                                   7:5
                             C 6 H 6 þ  O 2 þ 3:76N 2 /aCO 2 þ bCO þ 3H 2 O þ 23:5N 2 :  (10.36)
                                   1:2
                                      a þ b ¼ 6
                                                         a ¼ 3:5; b ¼ 2:5
                                      2a þ b þ 3 ¼ 12:5
                Hence
                          C 6 H 6 þ 6:25ðO 2 þ 3:76N 2 Þ / 3:5CO 2 þ 2:5CO þ 3H 2 O þ 23:5N 2  (10.37)
                          |fflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflffl{zfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflffl}  |fflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflffl{zfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflfflffl}
                                   n R ¼30:75                   n P ¼32:5
                The energy equation, for constant pressure combustion is

                                 H P ðT P Þ¼  Q p  þ½H R ðT R Þ  H R ðT s ފ þ H P ðT s Þ:  (10.38)
                                               s
                Reactants energy [H R (T R )   H R (T s )]

                              Constituent     C 6 H 6        O 2           N 2
                                             39,936.1      27,230.9      26,342.1
                                 h 880
                                              8201.8       8509.7        8503.4
                                 h 298
                              Difference     31,734.4      18,721.2      17,838.7
                                  n             1           6.25          23.5
                                 nh          31,734.4     117,007.5     419,209.3


                                       ½H R ðT R Þ  H R ðT s ފ ¼ 567951:2kJ:
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