Final answer:
The provided question is incomplete and lacks the context required to accurately determine which relationship is true, especially concerning the coefficients of performance and conservation of energy in thermodynamics.
Step-by-step explanation:
The question relates to the thermodynamic principles involving coefficients of performance (COPs) and the conservation of energy. Unfortunately, the question appears to be cut-off, making it impossible to identify which relationship is true without additional context.
Thermodynamic principles state that the coefficients of performance for refrigerators and heat pumps are defined based on heat transfer and work interactions. For a refrigerator, COP is defined as the ratio of the heat removed from the cold reservoir (Qc) to the work input (W).
In a perfectly reversible system, the conservation of energy relates the heat absorbed from the cold reservoir (Qc), the heat rejected to the hot reservoir (Qh), and the work input (W) by the first law of thermodynamics.