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