Laplace’s law

Laplace’s Law describes the relationship between pressure, surface tension, and radius in curved surfaces like bubbles, blood vessels, or alveoli in the lungs.

For a spherical structure

For a cylindrical structure

P = 2T / r

P = pressure inside the sphere (alveoli)

T = surface tension

r = radius of the sphere

P = T / r

P = pressure inside the cylinder (blood vessel)

T = wall tension

r = radius of the cylinder

Smaller alveoli would collapse because pressure is higher.

The body prevents this using surfactant, which reduces surface tension.

If a vessel radius increases (like in aneurysm),

wall tension increases, making rupture more likely.

Simple summary-

• Inspiration:

Alveoli expand, radius (r) increases → pressure decreases. INICET May 2025

• Expiration:

Alveoli shrink, radius (r) decreases → pressure increases.

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