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Young-Laplace Capillary Pressure Calculator

Input Parameters

Instant Real-time Calculation
Result Chemistry
Laplace Pressure Jump (ΔP)
-- Pascals (Pa)
Export calculation:
Calculation Logic:

The Young-Laplace equation describes the mechanical equilibrium pressure difference sustained across a curved interface between two static fluids due to surface tension.

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Understanding Young-Laplace Capillary Pressure Calculator & Formula

Mathematical Formula: ΔP = (2 × γ) / R (for spherical droplet); ΔP = (4 × γ) / R (for thin soap bubble with 2 interfaces)

The Young-Laplace Capillary Pressure Calculator on CalculatorScale.com is engineered to deliver instant, mathematically verified calculations conforming strictly to standard institutional equations. Whether planning long-term investments, managing household budgets, tracking clinical fitness targets, analyzing academic genetics, calculating veterinary dosages, or converting dimensional units, every calculation updates dynamically in real time without lag.

Every formula used in this tool adheres to certified international standards, including World Health Organization biometric metrics, veterinary clinical guidelines, NIST physical conversion constants, and standard biological equations. Results are computed entirely client-side inside your browser with complete data privacy, ensuring your sensitive numbers and statistics never leave your device.

Our calculators are 100% free with no registration, subscriptions, or paywalls required. You can toggle between imperial and metric units, customize input parameters, export calculation summaries, or embed this calculator directly into your own website or blog.

Surface Tension of Pure Liquids at 20°C

LiquidSurface Tension γ (mN/m)Pressure in 1 mm Droplet (Pa)Pressure in 1 µm Droplet (kPa)
Water72.8 mN/m145.6 Pa145.6 kPa (~1.4 atm!)
Ethanol22.3 mN/m44.6 Pa44.6 kPa
Mercury486.5 mN/m973.0 Pa973.0 kPa (~9.6 atm!)
Soapy Water Solution25.0 mN/m50.0 Pa50.0 kPa

How to Use the Young-Laplace Capillary Pressure Calculator

  1. 1 Input liquid surface tension in mN/m (72.8 for pure water at 20°C).
  2. 2 Input droplet or bubble radius in millimeters (mm).
  3. 3 Read the Laplace pressure jump in Pascals.
FAQ & Help 1 question

Young-Laplace Capillary Pressure Calculator — Frequently Asked Questions

Q1 Why is pressure inside a tiny aerosol droplet so high? ▾

Because pressure jump is inversely proportional to radius R (ΔP = 2γ / R), as droplet radius approaches nanometer scales, the internal pressure skyrockets to dozens of atmospheres.

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