As an engineer trainee, you are asked to check a manufacturer's claim on the performance of their new Ground Source Heat Pump (GSHP) system. The manufacturer claims that their GSHP system is twice as efficient as the cold climate Air Source Heat Pump (cASHP) systems and at least 5 times as efficient as the electric baseboard heaters (with 100% efficiency or COP of 1). For any heat pump System, be I ground source or air source, the system is required to have heat. exchanges with the high and low temperature reservoir. (Remember heat transfer can only happen naturally from high to low temperature.) The typical temperature difference between the heat pump and the air inside the house is 40C. While the typical temperature difference between the outdoor air and the air source heat pump is 20C and the typical temperature difference between the ground and the ground source heat pump is 10C. The air inside the house is maintained at 22C throughout the winter. In Toronto, the average outdoor winter temperature is 0C and the average ground temperature is 10C. Determine the theoretical Carnot heat pump COP for the GSHP and ccASHP