If we combine a perfect engine and a real refrigerator with the engine converting heat Q from the hot reservoir into work \(\displaystyle W=Q\) to drive the refrigerator, then the heat dumped to the h...If we combine a perfect engine and a real refrigerator with the engine converting heat Q from the hot reservoir into work \(\displaystyle W=Q\) to drive the refrigerator, then the heat dumped to the hot reservoir by the refrigerator will be \(\displaystyle W+ΔQ\), resulting in a perfect refrigerator transferring heat \(\displaystyle ΔQ\) from the cold reservoir to hot reservoir without any other effect.
