Some vehicles manufacturing company try to use gasoline fuel blend called M60 which is a mixture of 40% ethanol (CH5OH) and 60% gasoline C8H18. If this blend is tested on 6 cylinders petrol engine working on ideal Otto cycle, at an equivalence ratio $=0.85. The temperature of the mixture before the spark ignites is 500 K. The enthalpy of formation for ethanol is hf= -277690 kJ/kmol, and cp= 2.44 kJ/kg.K. The enthalpy of formation for gasoline is hf= -259280 kJ/kmol, and cp= 2.42 kJ/kg.K. (1) Write the balanced equation for the reaction. (ii) Calculate the actual AF ratio of the mixture. (iii) If the theoretical maximum combustion temperature is 2150K. To reduce the formation of NOx, it is desired to reduce this maximum temperature to 2000K. This is done by exhaust gas recycling (EGR). Calculate the amount of EGR needed to reduce maximum combustion temperature to 2000K. Note that the exhaust gas will be approximated as all nitrogen at a temperature of (900+10*Y) K. (Y=7)