1. For a practical spark-ignition engine cycle, determine the maximum cycle temperature (no round-off around the sharp corner). The source of energy is the stoichiometric reaction of isooctane (C8H18) in air

but only a fraction of the heat is utilized to power the engine, represented by a coefficient u. The temperature after compression is T₂. Assume constant specific heat capacities cv and cp for the combustion product. Assume the enthalpies of isooctance, air, CO2, and H₂O are known at T₂2. Derive an expression for the maximum cycle temperature. C