Surface Tension Calculator
Surface Tension
Calculate surface tension using multiple methods: wire frame method, capillary rise, pressure difference (Young-Laplace), and liquid database. Analyze capillary height, pressure differences, work of adhesion, and spreading coefficient.
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Why: Understanding surface tension helps you make better, data-driven decisions.
How: Enter your values below and results will compute automatically.
Run the calculator when you are ready.
💧 Water Droplet Formation
Calculate surface tension for water droplet using wire frame method
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🫧 Soap Bubble Radius
Determine surface tension from soap bubble pressure difference
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📏 Capillary Rise in Glass Tube
Calculate capillary rise height for water in glass capillary tube
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🦗 Insect Walking on Water
Surface tension analysis for water strider (insect) on water surface
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🌡️ Mercury in Thermometer
Surface tension calculation for mercury in glass thermometer
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Enter Parameters
Calculation Method
Wire Frame Method
Temperature
Units
For educational and informational purposes only. Verify with a qualified professional.
What is Surface Tension?
Surface tension is a physical property of liquids that causes the surface of a liquid to behave like an elastic membrane. It is the result of cohesive forces between liquid molecules being stronger at the surface than in the bulk. Surface tension is measured in force per unit length (N/m) or energy per unit area (J/m²).
Cohesive Forces
Attractive forces between molecules of the same substance create surface tension.
Key Points:
- Stronger at surface
- Creates elastic membrane
- Minimizes surface area
Units
Surface tension is measured in N/m (newtons per meter) or mN/m (millinewtons per meter).
Common Values:
- Water: 72.8 mN/m
- Mercury: 486.5 mN/m
- Ethanol: 22.3 mN/m
Applications
Surface tension explains many phenomena including capillary action, droplet formation, and floating objects.
Examples:
- Capillary rise
- Soap bubbles
- Water striders
Surface Tension Calculation Methods
There are several methods to measure and calculate surface tension, each suitable for different applications and conditions.
📊 Calculation Methods
Wire Frame Method
Where:
- γ = Surface tension (N/m)
- F = Force applied (N)
- L = Length of wire frame (m)
This method uses a wire frame pulled through a liquid surface. The force required to pull the frame is measured and used to calculate surface tension.
Capillary Rise Method
Where:
- h = Capillary rise height (m)
- γ = Surface tension (N/m)
- θ = Contact angle (degrees)
- ρ = Liquid density (kg/m³)
- g = Gravitational acceleration (9.80665 m/s²)
- r = Tube radius (m)
This method measures the height a liquid rises in a narrow capillary tube. The height depends on surface tension, contact angle, density, and tube radius.
Young-Laplace Equation (Pressure Difference)
For Bubble: ΔP = 4γ/R
Where:
- ΔP = Pressure difference (Pa)
- γ = Surface tension (N/m)
- R = Radius of curvature (m)
The Young-Laplace equation relates pressure difference across a curved interface to surface tension and radius of curvature. Bubbles have two surfaces, so the pressure difference is doubled.
Eötvös Rule (Temperature Dependence)
Where:
- γ = Surface tension (N/m)
- k = Eötvös constant (2.1×10⁻⁷ J/(K·mol^(2/3)))
- Tc = Critical temperature (K)
- T = Temperature (K)
- V = Molar volume (m³/mol)
Eötvös rule describes how surface tension decreases linearly with temperature, approaching zero at the critical temperature.
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