A gas turbine Brayton cycle operates with an intercooler a re-heater and a regenerator. Air enters the engine at 14 psi and 60 °F; the pressure ratio for each stage of compression is 3; the air temperature when entering a turbine is 940 °F and the regenerator operates perfectly (effectiveness is 100%) Determine the mass flow rate of the air passing through this engine and the rates of heat addition and rejection when this engine produces 1000 hp. Assume constant specific heats at room temperature.