Methane gas is burned completely with 30% excess air at approximately atmospheric pressure. Both the methane and the air enter the furnace at 303.15 K (30°C) saturated with water vapor, and the flue gases leave the furnace at 1773.15 K (1500°C). The flue gases then pass through a heat exchanger from which they emerge at 323.15 K (50°C). Per mole of methane, how much heat is lost from the furnace, and how much heat is transferred in the heat exchanger?