The volume of gas in a flexible container at a depth of 10 m/33 ft will expand to double its original volume if taken to the surface.
The amount of space that a substance or object occupies.
Volume is denoted with letter V
Generally, a gas molecule is simply defined as a combination of numbers of atoms that are connected one to another.
here, 10 m/33 feet of sea water is taken to exerts a gauge pressure that is the same pressure as the atmosphere.
This means that we add one atmosphere/bar pressure for every 10 m/33 feet you descend.
The effect of this is that,
at 10 m/33 ft absolute pressure is two ata/bar
Adding another 10 m/33 ft to this depth to make it 20 m/66 ft, puts you under under three ata/bar of pressure and so on.
Descending to a depth it means that you have double the ata/bar pressure acting on you. If you decide to resurface, the pressure on the flexible container will reduce by a factor of two.
Since volume is inversely proportional to the pressure,
If the pressure reduces by a factor of 2, then the volume will increase by a factor of two.
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