Wednesday, February 15, 2012

Is the surface tension of a bubble greater at the bottom of the ocean, than it is at the surface?

Another way of asking this is... Is it easier to pop a bubble closer to the surface than at the bottom depths?Is the surface tension of a bubble greater at the bottom of the ocean, than it is at the surface?
According to the Laplace equation:



/_\p=gamma(1/r1-1/r2)



Where /_\p is the change in pressure ("Delta p")

gamma is the surface tension

r1 and r2 are the radii of the bubble at the differing pressures.



Note that gamma, ie. the surface tension, is a constant in this equation. Why? Because the surface tension is a force perpendicular (ie, on the surface of the bubble) to the pressure being applied. The surface tension does not change.



However, the first answerer is correct in that, if enough pressure is applied, the gas will dissolve in the water, so the bubble would cease to exist. This is another question though.Is the surface tension of a bubble greater at the bottom of the ocean, than it is at the surface?
I think there will be no bubbles at the bottom of the ocean ... right ?Is the surface tension of a bubble greater at the bottom of the ocean, than it is at the surface?
If the bubble existed on the bottom, it would be greater.....



Shanti
I'll assume you don't really want to pop a bubble, since the best you can do is split or disperse a bubble near the ocean's depths. Accordingly, I'll assume the bubble at the surface is not really on the surface, but near the surface. Otherwise, the question is easy. You can "pop" a bubble ON the surface, but not BELOW the surface. Surface tension often refers to the cohesion of water caused by hydrogen bonds between its molecules, as in the opposing of an object's penetration. It's actually possible to "float" a needle on the surface of a body of water due to the surface tension of the water. A bubble is created inside a body of water due to the gas molecule's pressure being acted upon by the cohesive water around it. Near the surface of the ocean the pressure of the gas in the bubble is less than at its depths, but since water is virtually noncompressible, it's density is relatively constant, assuming you weren't interested in temperature effects. Therefore, it should be just as easy to poke your finger from the inside of a bubble near the surface of the water, as it is to do it in the deep ocean. If this is what you are defining "surface tension" then it should be for all practical intents and purposes the same at any depth.

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