Surface Tension: Bubble Volume & Container Wall Contact

In summary, the conversation discusses the effect of a solid surface on the volume of an air bubble rising in water. The equations of Young's Equation and γsl - γs + γlv.cos θ = 0 are mentioned. The attempt at a solution includes considering the shape of the container and the ratio of surface to volume to determine the radius of curvature of the bubble. The question is raised about whether the volume of the bubble changes when the shape of the container is changed without changing the pressure. It is noted that the question itself is unclear and may be problematic.
  • #1
Otaku123445
3
0

Homework Statement



An air bubble rises in water and makes contact with a container wall. Does contact with the solid surface change the bubble volume even if the surface is neither hydrophilic nor hydrophobic, but forms a contact angle of 90 degrees with the air-water interface?(Neglect Hydrostatic pressure)

Homework Equations


Young's Equation
γsl - γs + γlv.cos θ = 0


The Attempt at a Solution


I know for sure that if hydrostatic pressure is taken into account, then as the bubble rises it expands. But, in the absence of pressure as it hits the container there is only tension forces. But, I'm not sure if the radius of curvature of bubble will be larger or smaller .
 
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  • #2
If you consider the shape of a container which minimises the ratio of surface to volume that should help you with the radius of curvature.

I don't think surface tension can be included without hydrostatic pressure (the bubble would sink) so the question really seems to be "If you change the shape of a closed container of air, without changing the pressure, does the volume change?"

I feel the real problem here isn't with you but whoever set this sloppy question.
 

What is surface tension?

Surface tension is a physical property of liquids that describes the force exerted by the surface of the liquid, which allows it to resist external forces and maintain its shape.

How is surface tension measured?

Surface tension is typically measured in units of force per unit length, such as newtons per meter (N/m) or dynes per centimeter (dyn/cm).

What is the relationship between surface tension and bubble volume?

Surface tension is directly related to the volume of a bubble. As surface tension increases, the bubble volume decreases, and vice versa.

How does surface tension affect the contact between a bubble and its container wall?

Surface tension is responsible for the shape and stability of bubbles, so it also affects the contact between a bubble and its container wall. High surface tension will cause the bubble to form a more spherical shape, resulting in more contact with the container wall.

What are the practical applications of studying surface tension and its effects?

Understanding surface tension and its effects is crucial in many scientific and industrial fields, such as fluid dynamics, materials science, and pharmaceuticals. It also plays a significant role in everyday life, from the formation of soap bubbles to the functioning of our respiratory system.

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