Consider a hypothetical situation, where your friend suggests leaving the refrigerator door open to help cool the house on a hot summer day. Discuss what will happen to the temperature of the room. Will it decrease, increase, or stay the same and why

Refers use more energy than they pump out of the air inside.

LOL !!!

Your refrigerator has coils on the back that heat the room.

1. Motor compresses gas. Its pressure goes up but it gets HOT.

2. That hot pressurized gas goes through coils outside and behind the machine discharging the heat to the room and warming it up.

3. THEN the gas is allowed to expand into other coils INSDIDE the ice box, cooling it in there.

So
room gets hot
ice box gets cold.

Due to the difficulty of attaining efficiency of 100 percent particularly when not operating at a low temp of absolute zero, the room will get hotter than the ice box gets colder :)

In short you clould have simply said power goes into the room through the electric outlet, and one way or another using that power in the room will warm it up.

SOLUTION :
Put those coils from the back of the refrigerator outside the window.
Then the expansion colls the room and the compression warms the world outside.
HOWEVER - that is not called a refrigerator. It is called an "air conditioner" :)

In this hypothetical situation, leaving the refrigerator door open to cool the house on a hot summer day is not an effective method. The temperature of the room will most likely increase, rather than decrease. This is due to the following reasons:

1. Mechanical design: Refrigerators are designed to cool the items inside by removing heat from the closed compartment and releasing it outside. By leaving the door open, the refrigerator's cooling system will continue to function, but it will have to work harder to remove the increasing heat inside the refrigerator and release it into the room.

2. Heat exchange: When the refrigerator door is open, the warm air from the surrounding room will enter the refrigerator, causing the temperature inside to rise. The refrigerator will struggle to maintain its cool temperature, resulting in increased energy consumption and heat production.

3. Energy transfer: Refrigerators generate heat while running, and by leaving the door open, additional heat is being added to the room. This extra heat, combined with the room's existing temperature, will cause the overall temperature of the room to increase rather than decrease.

To cool a room effectively, it is better to use appropriate cooling methods like air conditioning, fans, or opening windows to allow cross ventilation. These methods help to remove hot air from inside the room and bring in cooler air from outside.