Consider an engine with a gas power cycle that can be modeled using the actual Diesel cycle. This particular engine has a compression ratio of 16, and a cutoff ratio of 1.75. Just before compression, the air has a pressure of P = 98 kPa, and a temperature of T = 19°C. The compression process has anisentropic efficiency of 88%, while the expansion process has an isentropic efficiency of 94%. If the engine produces 220 horse-power and the engine operates at 1250 cycles/minute, determine the rate at which heat is added to the system, and the maximum temperature of the gas during the cycle. Use cold air standard assumptions.