During one cycle, a refrigerator removes 500 J from a cold...

During one cycle, a refrigerator removes 500 J from a cold reservoir and discharges $800 \mathrm{J}$ to its hot reservoir. (a) What is its coefficient of performance? (b) How much work per cycle does it require to operate?

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Key Concepts

Coefficient of Performance (COP)

In thermodynamics, the coefficient of performance for a refrigerator is a measure of its efficiency. It is defined as the ratio of the heat removed from the cold reservoir to the work input required to remove that heat. A higher COP indicates that the refrigerator performs its cooling function with less work energy.

Conservation of Energy in Thermodynamic Cycles

This fundamental principle states that energy cannot be created or destroyed, only transferred or transformed. In the context of a refrigeration cycle, the energy removed from the cold reservoir, combined with the work input, equals the energy discharged to the hot reservoir. Understanding this balance is essential to analyze energy flows and calculate work and heat transfers accurately.

Thermodynamic Work

Work in a thermodynamic process represents the energy required to drive the system's operation, such as compressing a refrigerant in a refrigerator. It is determined by the difference in energy transfer between the reservoirs, as constrained by the conservation of energy. Knowing how to compute work based on the relationships between the heat flows is crucial for evaluating system performance.

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