Can a kitchen be cooled by leaving the door of an electric refrigerator open?

Explanation

No, A kitchen cannot be cooled by leaving the door of a refrigerator open, rather it will get slightly heated. When the door of the refrigerator is kept open, refrigerator now extracts heat from the kitchen room (acting as cooling chamber). Work is done on it by the electric motor and the total energy is rejected to the room (now acting as surroundings). Thus the work done by the motor gets added to the room, so it gets heated.