1. A heat pump with COP = 4 uses 1 kW of power input to heat a 25?C room, drawing energy from the outside at 15?C. Assume the high/low temperatures in the heat pump are 45?C/0?C. Find the total rates of entropy into and out of the heat pump, the rate from the outside at 15?C, and the rate to the room at 25?C.
2. A window receives 500 W of heat transfer at the inside surface of 20?C and transmits the 500 W from its outside surface at 2?C, continuing to ambient air at -5?C. Find the flux of entropy at all three surfaces and the window's rate of entropy generation.