An internal combustion engine uses octane as fuel. The air and fuel vapor mixture enter the engine at 298 K. Twenty per cent excess air is supplied. Seventy-five per cent of the carbon present in the fuel is converted to CO2 and the rest to CO, and the combustion products leave the engine at 800 K, calculate the energy transferred as heat to the engine per kg fuel burned. The mean heat capacities (J.mol-1.K-1) are 32.5 for O2, 31.1 for N2, 31.0 for CO, 50.0 for H2O, and 49.0 for CO2.