A small power plant uses a methane (natural gas) powered furnace to produce steam for a turbine. Methane is fed at 10 mol/sec at 20 [C]. Air is used to provide oxygen for the process. Air is 21mol% O₂ and the balance N₂. Air is fed so that there is 50% excess oxygen, also at 20 [C].

a) If the conversion of methane is 99%, calculate the amount of heat removed if the outlet temperature of the mixture is 185.0 [C].

b) If the conversion of methane is 99%, calculate the outlet temperature if the process removes 6500 kW of heat from the furnace.