Final answer:
The deep freezer is expected to have a lower COP compared to the refrigerator without a freezer compartment because it has to maintain a larger temperature difference with the outside environment, resulting in more energy consumption per unit of heat transferred.
Step-by-step explanation:
The Coefficient of Performance (COP) of a heat pump or refrigerator is a measure of its efficiency. The COP is generally higher for cooling systems with a smaller temperature difference between the inside (the refrigerated space) and the outside environment. Since a deep freezer operates at a significantly lower temperature than a refrigerator without a freezer compartment, it needs to maintain a larger temperature difference with the outside environment. This typically requires more work per unit of heat transferred, leading to a lower COP for the deep freezer compared to the refrigerator.