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Young-Laplace Pressure Calculator — result sheet
Calculate ideal gauge pressure across a spherical liquid interface from surface tension and radius.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: ΔP = 2γ/r for a single spherical liquid interface; ΔP = 4γ/r for a soap bubble with two surfaces.
The surface count is explicit because a soap bubble has two liquid-gas interfaces while a simple droplet has one.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Surface tension — N/m; minimum 1.0E-6; maximum 1000000
- Interface radius — mm; minimum 1.0E-6; maximum 1000000000
- Interface type — 2 choices
Worked example
| Input | Value |
|---|---|
| Surface tension | 0.037 |
| Interface radius | 0.2 |
| Interface type | bubble |
Gauge pressure = 740 Pa.
Assumptions and limits
- The interface is spherical, static, and characterized by one surface-tension value.
- Radius is converted from millimetres to metres before the pressure calculation.
- Gravity, contact-angle geometry, surfactant gradients, viscosity, and dynamic deformation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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