3. (10 points) A reversible heat pump delivers heat at a rate of 100 kW to warm a house maintain edat 20 °C. The ambient air at -5 °C, serves as the cool reservoir. Please calculate the rate of entropy change of the hot and cool reservoirs, respectively, as well of as the heat pump system. Please also check and justify if this heat pump satisfies the increase of entropy principle.

Fig: 1