A reversible heat pump delivers heat at a rate of 100 kW to warm a house maintained at 20 oC. The ambient air at -5 oC, 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.

Abrayton cycle operates with a regenerator on the air-standard with properties evaluated at 400 k. the tem- perature of the air entering the compressor is 350k while the temperature of the air exiting the compressor is 600 k. the temperature of the air entering the turbine is 1600 k. the overall cycle produced 600 kj/kg of net work out. assuming a regenerator effectiveness of 0.8, what is the temperature of the air before heat addition (combustion)? draw this process on a t - s diagram