A refrigerator operates between 250 K and 300 K. What is its coefficient of perf

A refrigerator operates between 250 K and 300 K. What is its coefficient of performance (COP)? (2022)

A refrigerator operates between 250 K and 300 K. What is its coefficient of performance (COP)? (2022)

Step 1: Identify the temperatures involved. The cold temperature (T_cold) is 250 K and the hot temperature (T_hot) is 300 K.
Step 2: Calculate the difference between the hot and cold temperatures. This is done by subtracting T_cold from T_hot: 300 K - 250 K = 50 K.
Step 3: Use the formula for the coefficient of performance (COP) of a refrigerator: COP = T_cold / (T_hot - T_cold).
Step 4: Substitute the values into the formula: COP = 250 K / (300 K - 250 K).
Step 5: Simplify the equation: COP = 250 K / 50 K.
Step 6: Perform the division: 250 / 50 = 5.0.
Step 7: Conclude that the coefficient of performance (COP) of the refrigerator is 5.0.

Coefficient of Performance (COP) – The COP of a refrigerator is a measure of its efficiency, defined as the ratio of heat removed from the cold reservoir to the work input required to remove that heat.
Thermodynamic Temperature Scale – Understanding the Kelvin scale and the significance of absolute temperatures in thermodynamic calculations.
Heat Transfer – The basic principles of heat transfer and how they relate to refrigeration cycles.