Understanding Archimedes Principle: Observing Bubble Size in Rising Water Column

[domyy]

Homework Statement

It`s not to calculate, actually, I am just trying to understand this. I think it has to do with Archimedes Principle, but could anyone explain the following more clearer to me?

"It`s observed that as bubbles rise in a deep column of water, the diameter of the bubbles increases."

Homework Equations

The Attempt at a Solution

 

[Doc Al]

I don't think it's particularly related to Archimedes' principle. Instead, think of the bubble as being an ideal gas. How are pressure and volume related? How does pressure in the fluid change as the bubble rises?

 

[domyy]

does it have to do with Pascal`s then?

 

[Doc Al]

does it have to do with Pascal`s then?

Not especially. It has to do with static pressure in a fluid. What does it depend on?

 

[asteriatic]

Yes, you are correct. This phenomenon can be explained by Archimedes Principle, which states that an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. In this case, the bubbles are rising through the water column, and as they do so, they are displacing more and more water. This results in an increase in the upward buoyant force acting on the bubbles, causing them to expand in size. This can also be seen in other objects, such as a balloon rising in the air. As it rises, it is displacing more and more air, causing it to expand. I hope this helps to clarify the concept for you.