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I think the title says pretty much. Last night I poured hot water in a half full bottle of water and closed the cap. The bottle immediately shrunk. Why? My girlfriend suggested that the hot water has less oxygen in it and thus consumes some of the oxygen in the bottle.

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Did it shrink or just collapse ? And how fast is "immediately" ? –  Carl Witthoft Feb 12 at 12:48
    
Was the bottle made of polyethylene terephthalate? Those have a low glass transition temperature, below that of boiling water. –  DumpsterDoofus Feb 12 at 16:49

2 Answers 2

In an ideal gas

ideal gas

where P is the absolute pressure of the gas, V is the volume of the gas, n is the amount of substance of gas (measured in moles), T is the absolute temperature of the gas and R is the ideal, or universal, gas constant.

The capped gas in the bottle cools, according to the black body radiation law everything cools at a certain rate. IN the formula above the combined pressure times volume has to become smaller. If the walls are not rigid the imbalance of the inside pressure to the outside compresses the wall until pressure equilibrium is reached. The same is true if you put a capped half emty bottle in the freezer.

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p.s. of course if the water is hot enough it will also melt the plastic where the water is and part of the deformation is due to this. –  anna v Feb 12 at 9:18
    
I also think that user986959 is referring to the shrinking of a plastic bottle. But I do not think it is not melting, but rather returning from a deformed shape by increasing its temperature above its transition temperature (for example for PET this is equal to 70°C). –  fibonatic Feb 12 at 9:42
    
@fibonatic , yes, wrong terminology for plastic maybe. But I have recently taken a frozen bottle ( I used them to transport perishables) and when it melted and I opened it air filled it ( lower inside pressure). –  anna v Feb 12 at 10:29
    
And of course as the water cools it shrinks in volume, leaving the gas trapped above it more room to expand. To maintain pressure, the non-rigid walls of the bottle will collapse. –  jwenting Feb 12 at 14:31

You filled the hot water into the bottle, during this time it created steam inside the bottle, moving part of the air out. After closing, the steam cools down and condenses quickly. As some air was pushed out, that creates a vacuum, collapsing the bottle.

Another process, which probably has contributed, but would be the main effect when the water is not really hot, not producing steam: The hot water heats the air in the bottle. The air expands caused by increased temperature. After closing the bottle, the air cools down and decreases volume, creating a vacuum, which collapses the bottle.

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Welcome to the site! –  tpg2114 Mar 22 at 3:28

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