When a 1kg metal pan containing 1 kg of cold water is removed from the refrigerator and set on a table which absorbs more heat from the room the pan or the water?

The water absorbs more heat from the room initially because water has a higher specific heat capacity than the metal pan. This means it takes more heat energy to raise the temperature of water compared to the metal pan. However, over time, both the pan and water will eventually reach the same temperature as the room.