A heat pump has a coefficient of performance of 3.80 and...

A heat pump has a coefficient of performance of 3.80 and operates with a power consumption of $7.03 \times 10^{5} \mathrm{W}$. (a) How much energy does it deliver into a home during $8.00 \mathrm{h}$ of continuous operation? (b) How much energy does it extract from the outside air?

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Key Concepts

Coefficient_of_Performance

The coefficient of performance (COP) is a key metric for devices such as heat pumps and refrigerators. It is defined as the ratio of useful heating or cooling provided to the work required to produce that heating or cooling. This concept distinguishes these devices from typical heat engines and reflects their efficiency in moving energy rather than converting one form of energy to another.

Heat_Pump_Operation

A heat pump is a system that transfers heat from a colder area to a warmer area by using mechanical energy, as in a refrigeration cycle. This operation exploits the principles of thermodynamics to extract energy from the environment (often air or ground) and deliver it indoors, providing heating with greater energy efficiency compared to direct resistive heating.

Power_and_Energy_Relationship

Understanding the relationship between power and energy is crucial when analyzing any electrical or mechanical system. Power, measured in watts, represents the rate at which energy is used or transferred, while energy is the total amount of work done over time. Calculations involving these concepts often require integrating power consumption over a given time period to determine total energy delivered or expended.

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