Chemistry / CALCULATOR

Young–Laplace Pressure Jump

Young–Laplace Pressure Jump with defined units, a worked example and input validation.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

N/m
Enter surface tension in N/m.
m
Enter principal curvature radius 1 in m.
m
Enter principal curvature radius 2 in m.

Formula

ΔP=surface tension ×(1/R1+1/R2).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Single convex interface with positive principal radii. A soap film with two surfaces needs separate treatment; signed saddle curvature is not supported.

Example Calculation

Example inputs
  • Surface tension: 0.072 N/m
  • Principal curvature radius 1: 0.001 m
  • Principal curvature radius 2: 0.001 m

Surface tension = 0.072; Principal curvature radius 1 = 0.001; Principal curvature radius 2 = 0.001. Primary result: 144.

Frequently asked questions

How do I use this calculator?

Enter surface tension, principal curvature radius 1, principal curvature radius 2. The result updates automatically. Use Reset to restore the example values.

What method does it use?

ΔP=surface tension ×(1/R1+1/R2).. Single convex interface with positive principal radii. A soap film with two surfaces needs separate treatment; signed saddle curvature is not supported.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.