Why do cold water bottles and soft-drink bottles sweat?

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A cold water bottle appears to sweat because it’s a cooling source for the water vapor in the layer of air that surrounds the bottle. Air that is relatively warm can hold more water vapor than cooler air.  When the cold water bottle is introduced, the warm air near the bottle cools and some of the water vapor condenses into liquid water, which is then deposited on the outside of the bottle.

Where does water come from?

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Water is made up of hydrogen and oxygen, and it exists in gaseous, liquid, and solid states. Water is one of the most plentiful and essential compounds, occurring as a liquid on Earth’s surface under normal conditions, which makes it invaluable for human uses and as plant and animal habitat. Since water is readily changed to a vapor (gas), it can travel through the atmosphere from the oceans inland, where it condenses and nourishes life.