How efficient is an ideal reversible heat pump?
What is the coefficient of performance of this heat pump?
A) 10.4
B) 9.44
C) 0.644
D) 0.533
E) 0.0962
The coefficient of performance (COP) of the heat pump
The COP of a heat pump is defined as the ratio of the amount of heat energy transferred to the hot reservoir to the amount of work input required to achieve this transfer. In this case, the heat pump is transferring heat from the outside air at -10.0°C to the house at 18.0°C. The temperature difference between the two reservoirs is 28.0°C. Using the Carnot efficiency formula, the maximum possible efficiency is (T_hot - T_cold) / T_hot, where T_hot is the absolute temperature of the hot reservoir and T_cold is the absolute temperature of the cold reservoir. The coefficient of performance (COP) of this heat pump is 9.44.
The coefficient of performance (COP) of a heat pump is a crucial indicator of its efficiency in transferring heat. With a COP of 9.44, this ideal reversible heat pump is able to transfer heat energy effectively from the outside air at -10.0°C to the inside of the house at 18.0°C.
Efficiency in heat pumps is essential for maintaining a comfortable temperature indoors while minimizing energy consumption. By understanding and optimizing the coefficient of performance, homeowners can choose energy-efficient heating and cooling solutions that are both cost-effective and environmentally friendly.
Overall, an ideal reversible heat pump with a coefficient of performance of 9.44 demonstrates its efficiency in heat transfer, making it a suitable choice for maintaining a comfortable indoor temperature with minimal energy consumption.