Young-Laplace Equation Calculator

Find the pressure difference across a curved surface.

Droplet ΔP (2γ/r) (Pa) 144
Soap bubble ΔP (4γ/r) (Pa) 288

Formula: ΔP = 2γ/r (droplet) ; 4γ/r (bubble)

Step-by-step with your numbers:
1. Values used:
2. Surface tension = 0.072 N/m
3. Radius = 1
4.
5. Droplet ΔP (2γ/r) = 144Pa
6. Soap bubble ΔP (4γ/r) = 288Pa
Did we solve your problem today?

The Young-Laplace equation gives the pressure jump across a curved liquid surface.

The math behind it

Droplet (one surface): ΔP = 2γ/r. Soap bubble (two surfaces): ΔP = 4γ/r. r in metres.

Worked example

Water droplet (γ 0.072), r 1 mm → 144 Pa.

FAQ

Smaller droplet?

Higher internal pressure (ΔP ∝ 1/r).