☰ Contents · Physics

Surface tension of liquids and capillary phenomena

Lessons 34–35 · 2 lessons · P. Habibullayev, A. Boydedayev, A. Bahromov, K. Suyarov, J. Usarov, M. Yuldasheva. Physics Grade 9, revised and expanded 3rd edition. G‘afur G‘ulom Publishing House, Tashkent, 2019
35

Wetting. Capillary phenomena

Textbook: pp. 97–99
GoalKnow wetting and non-wetting, the meniscus; capillary phenomena and the formula h = 2σ/(ρgr), and use them.
New words
wetting · ho‘llashmeniscus · meniskcapillary · kapillyarcapillary rise height · kapillyar ko‘tarilish balandligi
Explanation

If the attraction between liquid and solid molecules is stronger than the attraction between the liquid’s own molecules, the liquid wets the solid (water – glass, soapy water – skin); if weaker, it does not wet (mercury – glass, water – oily feather). A wetting liquid has a concave surface near the vessel wall (the meniscus curves upward), a non-wetting one a convex surface. Very narrow tubes are capillaries; a wetting liquid rises in a capillary, a non-wetting one sinks. The rise stops when the surface tension force F = σ·2πr equals the weight of the column mg = ρ·πr²h·g, so h = 2σ/(ρgr). The smaller the radius, the greater h. Capillary phenomena appear in the rise of water in plants, in the evaporation of soil moisture and in the dampening of foundations; loosening the soil breaks the capillaries and keeps the moisture.

Worked examples
Water (σ = 0.073 N/m, ρ = 1000 kg/m³) in a capillary of radius 0.5 mm: h = 2·0.073/(1000·10·0.0005) = 0.0292 m ≈ 29 mm.
If the capillary radius is halved, h doubles (h ∝ 1/r): in a tube of radius 0.25 mm water rises about 58 mm.
Class activity

Observation: dip the edge of a paper napkin or white cloth into a glass of coloured water and watch the water climb. Which cloth absorbs faster? Link the result to capillarity. Use only water and food colouring.

Practice
1
When does a liquid wet a solid?
2
How many mm does alcohol (σ = 0.022 N/m, ρ = 800 kg/m³) rise in a glass capillary of radius 0.2 mm? (g = 10 m/s²)
3
Does mercury rise or sink in a glass tube? What shape is the meniscus?
4
Why does loosening the soil keep it moist?