Question

The inside of your refrigerator is approximately 0 ∘c . heat from the inside of your refrigerator is deposited into the air in your kitchen, which has a temperature of approximately 24 ∘c . At these operating temperatures, what is the maximum possible coefficient of performance of your refrigerator?

Answer 1

The maximum possible coefficient of performance for a refrigerator operating at temperatures of 0°C inside and 24°C in the kitchen is 12.375.

Step-by-step explanation:

The coefficient of performance (COP) of a refrigerator is the ratio of the heat removed from the cold reservoir to the work done on the refrigerator.

For a refrigerator working at temperatures of 0 °C inside and 24 °C in the kitchen, the maximum possible COP can be calculated using the formula:

COP = Th / (Th - Tc)

where Th is the absolute temperature of the hot reservoir (in Kelvin) and Tc is the absolute temperature of the cold reservoir (in Kelvin).

In this case, the hot reservoir (kitchen) is at 24 + 273 = 297 K and the cold reservoir (inside the refrigerator) is at 0 + 273 = 273 K. Plugging these values into the formula, we get:

COP = 297 / (297 - 273) = 297 / 24 = 12.375

Therefore, the maximum possible coefficient of performance for the refrigerator operating at these temperatures is 12.375.