Young-Laplace Equation Calculator
Calculate the capillary pressure difference across a spherical fluid interface using the Young-Laplace equation.
Calculation Parameters
Adjust the values below.
Calculated Result
Pressure Difference (ΔP)
Expert Tip
Ensure units are correctly formatted (e.g. Kelvin for gas temperatures and liters for volumes) to get chemically accurate outputs.
How this Calculator Works
This calculator allows you to solve Young-Laplace Equation problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- Surface Tension (γ, mN/m) (Range: 1.0 to 100.0, Default: 72.0)
- Interface Radius (R, μm) (Range: 0.1 to 50.0, Default: 5.0)
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
(Valid for a spherical interface with a single curvature)
Where:
- Surface Tension: Parameter value.
- Interface Radius: Parameter value.
Step-by-Step Calculation Example
To calculate Young-Laplace Equation manually, follow these steps:
- Identify the input parameters. For example:
- Surface Tension (γ, mN/m) = 72.0
- Interface Radius (R, μm) = 5.0
- Apply the formula:
ΔP = (2 * γ) / R
(Valid for a spherical interface with a single curvature) - Verify the calculated value which is updated instantly in the results panel on the right.
Frequently Asked Questions
What is the Young-Laplace equation? ▼
ΔP = γ × (1/R1 + 1/R2), relating pressure difference across a fluid interface to surface tension γ and principal radii of curvature.
What is the pressure difference inside a spherical liquid droplet? ▼
For a spherical droplet of radius R, ΔP = 2γ / R.
What is the pressure difference inside a spherical soap bubble? ▼
Because a soap bubble has two liquid-air surfaces (inner and outer), ΔP = 4γ / R.