Water enters the steam generator of a power plant at 7MPa, 50 degrees C, and exits at 7MPa, and 600 degrees C. The steam is then fed into a well-insulated turbine, developing a power output of 31.6 MW before exiting the turbine as a two-phase liquid-vapor mixture at 10 kPa with a quality of 90%. Combustion gases enter the steam generator at 730 degrees C and are cooled to 170 degees C. For steady operation, determine: (a) the mass flow rate of combustion gases in kg/s and (b) the rate of energy transfer between the gas and vapor streams in the steam generator in kJ/s. (The combustion gases can be modeled as air as an Ideal gas with constant specific heats at 600 K. Ignore any heat losses from the components to the surroundings and neglect all kinetic and potential energy effects.)