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Surface tension

Surface tension is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Surface tension rather than just read about it. In short: Surface tension is the energy per unit area due to having a surface in a liquid. It has the dimension of force per unit length, or energy per unit area.

Surface tension — main illustration
Surface tension — illustration

Key takeaways

  • Surface tension belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Surface tension to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Surface tension from memory before moving on to harder problems.

Reference excerpt

Surface tension is the energy per unit area due to having a surface in a liquid. It has the dimension of force per unit length, or energy per unit area. The two are equivalent, but when referring to energy per unit of area, it is common to use the term surface energy, which is a more general term in the sense that it applies also to solids. Surface tension is used for liquids, while surface stress and surface energy are more commonly used for solids. An example of its relevance is the tendency of liquid surfaces at rest to shrink to the minimum surface area possible. Because of the relatively high attraction of water molecules to each other through a web of hydrogen bonds, water has a higher surface tension (72.8 millinewtons (mN) per meter at 20 °C) than most other liquids. This allows objects with a higher density than water such as razor blades and insects (e.g. water striders) to float on a water surface without becoming even partly submerged. The magnitude of the surface tension is connected to the forces between the molecules at the surface. Therefore surfactants are often used to reduce it so there is more contact between the liquid and another material, for instance detergents. It can also lead to pressure inside water bubbles, as well as many other phenomena; it is a classic, well-studied property common to all liquids.

Causes

Due to the cohesive forces, a molecule located away from the surface is pulled equally in every direction by neighboring liquid molecules, resulting in a net force of zero. The molecules at the surface do not have an equal number of molecules on all sides of them and therefore are pulled inward. This creates some internal pressure and forces liquid surfaces to contract to the minimum area. There is also a tension parallel to the surface at the liquid-air interface which will resist an external force, due to the cohesive forces between the molecules. The forces of attraction acting between molecules of the same type are called cohesive forces, while those acting between molecules of different types are called adhesive forces. The balance between the cohesion of the liquid and its adhesion to the material of the container determines the degree of wetting, the contact angle, and the shape of the meniscus. When cohesion dominates (specifically, adhesion energy is less than half of cohesion energy) the wetting is low and the meniscus is convex at a vertical wall (as for mercury in a glass container). On the other hand, when adhesion dominates (when adhesion energy is more than half of cohesion energy) the wetting is high and the similar meniscus is concave (as in water in a glass). Surface tension is responsible for the shape of liquid droplets. Although easily deformed, droplets of water tend to be pulled into a spherical shape by the imbalance in cohesive forces of the surface layer. In the absence of other forces, drops of virtually all liquids would be approximately spherical. The spherical shape minimizes the necessary "wall tension" of the surface layer according to Laplace's law.

Another way to view surface tension is in terms of energy. A molecule in contact with a neighbor is in a lower state of energy than if it were alone. The interior molecules have as many neighbors as they can possibly have, but the boundary molecules are missing neighbors (compared to interior molecules) and therefore have higher energy. For the liquid to minimize its energy state, the number of higher energy boundary molecules must be minimized. The minimized number of boundary molecules results in a minimal surface area. As a result of surface area minimization, a surface will assume a smooth shape.

Physics

Physical units Surface tension, represented by the symbol γ (alternatively σ or T), is measured in force per unit length. Its SI unit is newton per metre but the cgs unit of dyne per centimetre is also used, particularly in the older literature. For example,

γ = 1 d y n c m = 1 e r g c m 2 = 1 10 − 7 m ⋅ N 10 − 4 m 2 = 0.001 N m = 0.001 J m 2 . {\displaystyle \gamma =1~\mathrm {\frac {dyn}{cm}} =1~\mathrm {\frac {erg}{cm^{2}}} =1~\mathrm {\frac {10^{-7}\,m\cdot N}{10^{-4}\,m^{2}}} =0.001~\mathrm {\frac {N}{m}} =0.001~\mathrm {\frac {J}{m^{2}}} .}

Definition

Surface tension can be defined in terms of force or energy.

… excerpt ends here. Continue reading the full article.

Illustrations

Surface tension: Rain water flux from a canopy. Among the forces that govern drop formation: surface tension by cohesion, Van der Waals force, Plateau–Rayleigh instability.
Rain water flux from a canopy. Among the forces that govern drop formation: surface tension by cohesion, Van der Waals force, Plateau–Rayleigh instability.
Surface tension: Diagram of the cohesive forces on molecules of a liquid
Diagram of the cohesive forces on molecules of a liquid
Surface tension: Water droplet lying on a damask. Surface tension is high enough to prevent seeping through the textile
Water droplet lying on a damask. Surface tension is high enough to prevent seeping through the textile
Surface tension: This diagram illustrates the force necessary to increase the surface area. This force is proportional to the surface tension.
This diagram illustrates the force necessary to increase the surface area. This force is proportional to the surface tension.
Surface tension illustration

Worked examples

Example 1 — a first encounter with Surface tension

Start with the simplest possible case. Write down what Surface tension claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Surface tension before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Surface tension ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Surface tension

In research
Surface tension appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Surface tension in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Surface tension is common in secondary-school and first-year university syllabi. It links to neighbouring topics Fluid dynamics, Intermolecular forces, Mechanical quantities, so understanding it makes those chapters shorter.
In everyday life
Look for Surface tension outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Surface tension in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Surface tension means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Surface tension out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Surface tension in simple terms?

Surface tension is the energy per unit area due to having a surface in a liquid. It has the dimension of force per unit length, or energy per unit area.

Why does Surface tension matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Surface tension?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Surface tension.

Tags

  • Fluid dynamics
  • Intermolecular forces
  • Mechanical quantities
  • Surface science

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