11. A heat pump supplies heat to a house at a rate of 30,000 kJ/hr. If the power consumed by the heat

pump is 3 kW, determine the coefficient of performance of the heat pump.

12. A Carnot heat engine receives heat from a source at 800°C and rejects heat to a sink at 42°C. The

heat is rejected from this engine at a rate of 85 kJ/s. Determine the power output, in kW.

13. An air-conditioner removes heat from a room at 20°C at a rate of 9000 kJ/hr and rejects the heat to

the outdoor air at 32°C. If the coefficient of performance of the air-conditioner is 3, determine:

a. The power consumed by the air-conditioner.

b. The minimum power required if the system is reversible.

14. An A/C unit removes heat from the house at a rate of 600 kJ/min. If the required power input to this

A/C unit is 4 kW, determine:

a. COP of the air-conditioning unit.

b. The rate of heat rejection to the outside air, in kW.

15. A heat pump absorbs heat from the cold outdoors at 2° C and supplies heat to a house at 23° C at a

rate of 16,000 kJ/hr.

a. What is the COP of the heat pump if the power consumed is 2.8 kW?

b. What is the maximum COP of the heat pump?