Can a room be cooled when a door of refrigtor open?

Yes, a room can be cooled when a refrigerator door is open, but it's not effective or practical. When the refrigerator is running, it removes heat from its interior, expelling that heat into the room via the condenser coils. While the air inside the fridge can become cooler, the overall heat output from the refrigerator will likely raise the room's temperature over time, making it an inefficient cooling method.