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Himal kharel
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I am currently studying surface tension. I came across a topic named "capillarity" where it is said that mercury falls down in capillary tube. But it rises in a barometer . Why is it so?
Capillarity is the phenomenon where liquids, such as water, move through narrow spaces, such as tubes or porous materials, without the assistance of external forces, such as gravity.
The contradiction regarding capillarity is that while it is commonly observed that liquids rise in narrow tubes, it is also observed that the height of the rise is inversely proportional to the diameter of the tube. This contradicts the idea that capillarity is solely due to surface tension, as surface tension should result in a higher rise with smaller tube diameters.
Two main theories attempt to explain the contradiction - the Young-Laplace equation and the Kelvin equation. The Young-Laplace equation takes into account the surface tension and curvature of the liquid at the air-liquid interface, while the Kelvin equation considers the effects of the liquid's vapor pressure and the curvature of the solid-liquid interface.
Currently, the Kelvin equation is considered to be the more accurate explanation for the contradiction regarding capillarity. This is because it takes into account additional factors, such as the vapor pressure of the liquid, which the Young-Laplace equation does not. However, both theories have their limitations and the exact explanation for capillarity remains a subject of ongoing research and debate.
Understanding capillarity and its contradiction has many practical applications, such as in the fields of engineering, materials science, and biology. It can help with the design of microfluidic devices, the selection of materials for porous structures, and the understanding of transport processes in plants and animals. It also has implications in fields such as medicine, where it can affect drug delivery and the behavior of blood in the body.