Problem 1. Syngas is a hydrogen-based fuel that is typically derived from a naturally occurring hydrocarbon compound. There are many variations depending on the source and application, but for this problem consider a syngas fuel that has a chemical composition of 40%H2,40%CO, and 20%CO2 (by volume). a) Write the balanced stoichiometric reaction of this fuel with air, assuming 1 mole of fuel. b) What is the LHV of this fuel (kJ/kg) at 298K ? c) What is the equivalence ratio of a fuel-air mixture if there is 80% excess air? d) Assuming that the product species are mostly CO2,H2O,O2, and N2, write the balanced equation for the mixture in part c. e) Assuming the reactants enter a combustion chamber in a premixed state, what is the molecular weight of the fuel-air mixture in part c ? What is the molecular weight of the product mixture? f) If a dry gas analysis were being performed on the combustion products, what would be the measured mole fractions of CO2 and O2 ? g) One way to estimate the product gas temperature is to assume the steady-state combustion process can be modeled as just adding heat to air. Estimate the temperature of the gases exiting the combustor by assuming the gas mixture entering and exiting is air with heat added to the system equivalent to the LHV of the fuel. The temperature of the reactants is 298K. (Hint: LHV is per kg of fuel, so need to put it per kg of air)