Step 1: Understanding the Concept:
Power is defined as the rate at which work is done or energy is consumed over time.
In engineering systems, it is essential to distinguish between units of energy (heat quantity) and units of power (energy rate).
Detailed Explanation:
Let us analyze the units presented in the options:
- kW (Kilowatt): This is the SI unit of power, representing one kilojoule of energy consumed per second:
\[ 1 \text{ kW} = 1 \text{ kJ/s} \]
Since power consumption measures the rate of electrical energy consumed by the compressor motor of a refrigeration system, it is measured in kilowatts (kW).
- kJ (Kilojoule): This is a unit of energy, representing work done or heat transferred.
- kcal (Kilocalorie): This is a metric unit of thermal energy, representing the heat required to raise the temperature of 1 kg of water by \(1^{\circ}\text{C}\).
- Btu (British Thermal Unit): This is an Imperial unit of energy, representing the heat required to raise the temperature of 1 pound of water by \(1^{\circ}\text{F}\).
Therefore, kW is the only unit listed that represents power consumption.
Step 2: Final Answer:
The power consumption of a refrigerating machine is determined in terms of kW.