Carnot Refrigerator

Theorem: Coefficient of Performance of the Carnot Refrigerator

No Refrigerator can have a higher Coefficient of Performance than that of the Carnot Refrigerator, which is given by the Temperature $T_{\text{C}}$ of the cold reservoir and the temperature $T_{\text{H}}$ of the hot reservoir.

$$K_{\text{Carnot}}=\frac{T_{\text{C}}}{T_{\text{H}}-T_{\text{C}}}$$

PROOF

TODO