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84                                           3 Basics of Gas Combustion

              The enthalpy of formation values can be found in Table A.4
                             o
                                                      o
            Species          h (298 K) (J/mol)      Dh (298 K) (MJ/kmol)
                                                      f
                             f
            O 2              0                      0
                             −394.088               −394.1
            CO 2
            H 2 O            −242.174               −242.2
              Then we have

                       802:6 ¼ h o     394:1Þ þ 2   242:2ފ
                                       ½
                                                     ð
                                        ð
                                f ;CH 4
                       h o  ¼ 802:6   394:1   2   242:2 ¼ 75:9MJ=kmole
                        f ;CH 4
              The answer is close to the value of 75 MJ/kmole in Table A.4.


            3.5 Adiabatic Flame Temperature

            The flame temperature affects the formation of the air pollutants, especially NO x .
            Adiabatic flame temperature (AFT) is employed to quantify the flame temperature.
            Depending on how the process is completed, constant volume AFT and constant
            pressure AFT are used accordingly. The constant volume AFT is the temperature of
            the products results from a complete combustion process that takes place without
            any work done on the surroundings because the volume of the combustion system
            does not change. The constant pressure AFT is the temperature of products of a
            complete combustion process that takes place without any heat transfer to the
            surroundings, but there is work done on the surroundings.
              First of all, for either of the definitions, the combustion system is adiabatic (i.e.,
            Q = 0). Therefore, the first law of thermodynamics becomes

                                         DU ¼ W

              For this adiabatic system it is clear that the constant volume AFT is the highest
            temperature that can be achieved for known mixture of fuel and oxidant, because
            work done to the surrounding environment and/or any incomplete combustion
            would lower the temperature of the products. Therefore, the constant pressure flame
            temperature is lower than that of constant volume process because some of the
            energy is utilized to change the volume of the system.
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