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222    CHAPTER 10 THERMODYNAMICS OF COMBUSTION




                                Enthalpy, H                        Reactants


                                                                   Products
                                                                   (incomplete combustion)
                                        H  = H P    C         D    Products
                                          R
                                                                   (complete combustion)
                                         B


                                   - (Q )
                                      ps
                           -  H 0
                                                                   T for incomplete
                                           A                        combustion
                                                                      T for complete
                                                                       combustion
                                                       T R
                                         T s                   Temperature, T
             FIGURE 10.7
             Enthalpy–temperature diagram for incomplete combustion, including rich mixtures and dissociation.


             10.6 EXAMPLES
             The examples quote solutions to the resolution of a calculator. This is to aid readers in identifying
             errors in their calculations, and does not mean the data are accurate to this level.

             Example 1: incomplete combustion
                Evaluate the energy released from constant pressure combustion of a rich mixture of methane and
             air: use f ¼ 1.2.
             Solution
                The chemical equation is

                     CH 4 þ 1:667ðO 2 þ 3:76N 2 Þ/0:333CO 2 þ 2H 2 O þ 0:667CO þ 6:267N 2  (10.28)
                The nitrogen (N 2 ) takes no part in this reaction and does not need to be considered. The energy
             liberated in the reaction (Q p ) is the difference between the enthalpies of formation of the products and
             reactants.
                Enthalpy of formation of reactants,

                                     ðDH f Þ ¼ðDH f Þ CH 4  ¼ 74897 kJ kmol
                                          R
                Enthalpy of formation of products,
                               ðDH f Þ ¼ 0:333ðDH f Þ CO 2  þ 2ðDH f Þ H 2 O  þ 0:667ðDH f Þ CO
                                    P
                                     ¼ 0:333ð 393522Þþ 2ð 241827Þþ 0:667ð 110529Þ
                                     ¼ 688420 kJ=kmol:
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