Can we cool down a room with refrigerator?

Today, in my physics class, my professor brought up an interesting question. The question goes like this-----If we close all the windows in a room, and open the door of refrigerator, can we make the room cooler? Although no one in the real life does such a thing, I found it interesting and worth discussing.

 Before we talk about the possibility of cooling down the room by closing the windows and opening the door of fridge, we should know how fridges work. Normally, the heat flows from the higher temperature to the lower temperature spontaneously. When the temperature of the whole system is equalized, the heat will stop flowing. If we want to make the temperature of specific object or space to be lower than the temperature of the surrounding space, we must put extra energy to remove the heat out of the object or the space we want to cool down.(According to the second law of thermal-dynamic) The functioning of fridges follows this principle. Electric energy is used to power the fridges, and fridges use this energy to pump the heat out. At this point, many people may think that open the door of the fridge can cool the room down, because the fridge in the room, although slowly, keeps pumping the heat out of the room. However, many of you didn't consider one important thing---where does the heat go? We all know that the fridge is moving the heat from one space to another space. The heat is moved from the inside of the fridge to the out side of the fridge. In fact, the heat is released to the whole room. That is to say, opening the door of the fridge doesn't cool down the room at all, because the heat is not moved away from the room; it is just moved from one space of the room to another space of the room. Therefore, the temperature of the room does not become lower.

We can look at this question from another aspect. If we use the law of thermal-dynamic to analyze this question, we will still get the same result. According to the second law of thermal-dynamic, without the input of the energy, the entropy(disorder of the system) increases or remains constant. The increase of the disorder, in this case, can be taken as the lost of thermal energy of the room. If there's no energy is input to the room, the the thermal energy of the room will be lost spontaneously until the temperature of the room is equal to the temperature of the outside. In this case, energy is input constantly to the power the fridge. That is to say, energy goes into the room constantly. Therefore, the temperature of the room actually goes up since the energy flows into the system from the outside. If we want to cool down the room, we should unplug the fridge, stopping the energy from flowing into the room, and the room will be cool down slightly.