Interfacial Tension by Laplace Equation Calculator

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Capillarity and Surface Forces in Liquids (Curved Surfaces)

BET Adsorption Isotherm

Colloidal Structures in Surfactant Solutions

Freundlich adsorption isotherm

Important Formulas of Adsorption Isotherm

Important Formulas of Colloids

Important Formulas on Surface Tension

Langmuir Adsorption Isotherm

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Laplace and Surface Pressure

Parachor

Surface Pressure

Surface Tension

Wilhelmy-Plate Method

✖The Laplace Pressure is the pressure difference between the inside and the outside of a curved surface that forms the boundary between a gas region and a liquid region.ⓘ Laplace Pressure [ΔP]			+10% -10%
✖Radius of Curvature at Section 1 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 1 to describe the curvature at any point on surface 1.ⓘ Radius of Curvature at Section 1 [R₁]			+10% -10%
✖Radius of Curvature at Section 2 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 2 to describe the curvature at any point on surface 2.ⓘ Radius of Curvature at Section 2 [R₂]			+10% -10%

✖Interfacial Tension is the force of attraction between the molecules at the interface of two fluids.ⓘ Interfacial Tension by Laplace Equation [σ_i]

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Formula

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Interfacial Tension by Laplace Equation

Formula

`"σ"_{"i"} = "ΔP"-(("R"_{"1"}*"R"_{"2"})/("R"_{"1"}+"R"_{"2"}))`

Example

`"3618.407mN*m"="5Pa"-(("1.67m"*"8m")/("1.67m"+"8m"))`

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Interfacial Tension by Laplace Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2))
σ_i = ΔP-((R₁*R₂)/(R₁+R₂))
This formula uses 4 Variables

Variables Used

Interfacial Tension - (Measured in Newton Meter) - Interfacial Tension is the force of attraction between the molecules at the interface of two fluids.
Laplace Pressure - (Measured in Pascal) - The Laplace Pressure is the pressure difference between the inside and the outside of a curved surface that forms the boundary between a gas region and a liquid region.
Radius of Curvature at Section 1 - (Measured in Meter) - Radius of Curvature at Section 1 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 1 to describe the curvature at any point on surface 1.
Radius of Curvature at Section 2 - (Measured in Meter) - Radius of Curvature at Section 2 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 2 to describe the curvature at any point on surface 2.

STEP 1: Convert Input(s) to Base Unit

Laplace Pressure: 5 Pascal --> 5 Pascal No Conversion Required
Radius of Curvature at Section 1: 1.67 Meter --> 1.67 Meter No Conversion Required
Radius of Curvature at Section 2: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_i = ΔP-((R₁*R₂)/(R₁+R₂)) --> 5-((1.67*8)/(1.67+8))

Evaluating ... ...

σ_i = 3.61840744570838

STEP 3: Convert Result to Output's Unit

3.61840744570838 Newton Meter -->3618.40744570838 Millinewton Meter (Check conversion here)

FINAL ANSWER

3618.40744570838 ≈ 3618.407 Millinewton Meter <-- Interfacial Tension

(Calculation completed in 00.020 seconds)

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< 9 Laplace and Surface Pressure Calculators

Interfacial Tension by Laplace Equation

Go Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2))

Correction Factor given Surface Tension

Go Correction Factor = (Drop Weight*[g])/(2*pi*Capillary Radius*Surface Tension of Fluid)

Laplace Pressure of Curved Surface using Young-Laplace Equation

Go Laplace Pressure given Young Laplace = Surface Tension*((1/Radius of Curvature at Section 1)+(1/Radius of Curvature at Section 2))

Maximum Force at Equilibrium

Go Maximum Force = (Density of Liquid Phase-Density of Liquid or Gas Phase)*[g]*Volume

Laplace Pressure

Go Laplace Pressure = Pressure inside of Curved Surface-Pressure Outside of Curved Surface

Parachor Given Molar Volume

Go Parachor given Molar Volume = (Surface Tension of Fluid)^(1/4)*Molar Volume

Contact Angle Hysteresis

Go Contact Angle Hysteresis = Advancing Contact Angle-Receding Contact Angle

Laplace Pressure of Bubbles or Droplets using Young Laplace Equation

Go Laplace Pressure of Bubble = (Surface Tension*2)/Radius of Curvature

Shape Factor using Pendant Drop

Go Shape Factor of Drop = Diameter of Tip of Drop/Equatorial Diameter

Interfacial Tension by Laplace Equation Formula

What is Laplace equation?

Laplace's equation, second-order partial differential equation widely useful in physics because its solutions R (known as harmonic functions) occur in problems of electrical, magnetic, and gravitational potentials, of steady-state temperatures, and of hydrodynamics.

How to Calculate Interfacial Tension by Laplace Equation?

Interfacial Tension by Laplace Equation calculator uses Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2)) to calculate the Interfacial Tension, The Interfacial Tension by Laplace Equation formula is defined the force of attraction between the molecules at the interface of two fluids also includes Laplace pressure. At the air–liquid interface, this force is often referred to as surface tension. Interfacial Tension is denoted by σ_i symbol.

How to calculate Interfacial Tension by Laplace Equation using this online calculator? To use this online calculator for Interfacial Tension by Laplace Equation, enter Laplace Pressure (ΔP), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂) and hit the calculate button. Here is how the Interfacial Tension by Laplace Equation calculation can be explained with given input values -> 3.7E+6 = 5-((1.67*8)/(1.67+8)).

FAQ

What is Interfacial Tension by Laplace Equation?

The Interfacial Tension by Laplace Equation formula is defined the force of attraction between the molecules at the interface of two fluids also includes Laplace pressure. At the air–liquid interface, this force is often referred to as surface tension and is represented as σ_i = ΔP-((R₁*R₂)/(R₁+R₂)) or Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2)). The Laplace Pressure is the pressure difference between the inside and the outside of a curved surface that forms the boundary between a gas region and a liquid region, Radius of Curvature at Section 1 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 1 to describe the curvature at any point on surface 1 & Radius of Curvature at Section 2 is defined as the radius of curvature in mutually perpendicular planes containing a line normal to surface 2 to describe the curvature at any point on surface 2.

How to calculate Interfacial Tension by Laplace Equation?

The Interfacial Tension by Laplace Equation formula is defined the force of attraction between the molecules at the interface of two fluids also includes Laplace pressure. At the air–liquid interface, this force is often referred to as surface tension is calculated using Interfacial Tension = Laplace Pressure-((Radius of Curvature at Section 1*Radius of Curvature at Section 2)/(Radius of Curvature at Section 1+Radius of Curvature at Section 2)). To calculate Interfacial Tension by Laplace Equation, you need Laplace Pressure (ΔP), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂). With our tool, you need to enter the respective value for Laplace Pressure, Radius of Curvature at Section 1 & Radius of Curvature at Section 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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