On a hot summer day we want to cool our room by opening the refrigerator door annd closing all the windows and doors. Will the process work ?

Explanation

No. whena refrigerator is working in a closed room with its door closed, it is rejecting heat from inside to the air in the room. So temperature of room increases gradually.
When the door of refrigerator is kept open, heat rejected by the refrigerator to the room will be more than the heat taken by the refrigetator from the room (by an amount equal to work done by the compressor). Therefore, temp. of room will increase at a slower rate compared to the first case.