Does a barrel explode if it's filled with water?

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Filling a barrel completely with water and leaving no air creates a pressure difference between the water's internal pressure and atmospheric pressure. The calculated pressure from the water at 1 meter height is 9800 N/m^2, while atmospheric pressure is 101,300 N/m^2, leading to a significant difference of 91,500 N/m^2. However, water is not easily compressible, which prevents the barrel from collapsing under this pressure difference. When filling a water bottle against atmospheric pressure, the water is already pressurized, and if filled in a vacuum, it would be further compressed by atmospheric pressure upon transfer. Understanding these principles clarifies why barrels and water bottles do not explode under normal conditions.
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Pressure = density * gravity * height

I'm wondering what will happen if you fill a barrel completely with water and leave absolutely no air in it. Let's say the barrel is 1 meter tall. So the pressure from the water inside would be 1000*9.8*1 = 9800 N/m^2

But the atmospheric pressure would be 101,300 N/m^2

Difference between the two pressures would be 91,500 N/m^2.

Wouldn't that cause the barrel to collapse (implode)?
 
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I'm pretty sure I got something wrong here. I don't see water bottles exploding...
 
My guess is that water is not easily compressible, so it holds the barrel.
 
Not easily compressible, but easily pressurize-able. (probably not a word, but it should be)

See, if you fill the water bottle while in the atmosphere, the weight of the water isn't the only pressure in action. You're filling the bottle against air pressure, so the water in the bottle is already compressed and pressurized before you close the top.

If you fill the bottle in a vacuum (problematic due to the water boiling, but bear with me...) and transfer it to the atmosphere, atmospheric pressure will compress it, pressurizing the water. The final volume in the second case will be slightly less than in the first case.
 
russ_watters said:
Not easily compressible, but easily pressurize-able. (probably not a word, but it should be)

See, if you fill the water bottle while in the atmosphere, the weight of the water isn't the only pressure in action. You're filling the bottle against air pressure, so the water in the bottle is already compressed and pressurized before you close the top.

If you fill the bottle in a vacuum (problematic due to the water boiling, but bear with me...) and transfer it to the atmosphere, atmospheric pressure will compress it, pressurizing the water. The final volume in the second case will be slightly less than in the first case.

Thank you, I now understand. :D
 
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