Surface Tension given Contact Angle Calculator

✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_curvature]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+10% -10%
✖The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.ⓘ Height of Capillary Rise/Fall [h_c]			+10% -10%
✖The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.ⓘ Contact Angle [θ]			+10% -10%

✖Surface Tension of Fluid is the energy or work required to increase the surface area of a fluid due to intermolecular forces.ⓘ Surface Tension given Contact Angle [γ]

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Surface Tension given Contact Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle))
γ = (2*R_curvature*ρ_fluid*[g]*h_c)*(1/cos(θ))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Surface Tension of Fluid - (Measured in Newton per Meter) - Surface Tension of Fluid is the energy or work required to increase the surface area of a fluid due to intermolecular forces.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Height of Capillary Rise/Fall - (Measured in Meter) - The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.
Contact Angle - (Measured in Radian) - The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.

STEP 1: Convert Input(s) to Base Unit

Radius of Curvature: 25 Millimeter --> 0.025 Meter (Check conversion here)
Density of Fluid: 14.9 Kilogram per Cubic Meter --> 14.9 Kilogram per Cubic Meter No Conversion Required
Height of Capillary Rise/Fall: 10 Millimeter --> 0.01 Meter (Check conversion here)
Contact Angle: 15.1 Degree --> 0.263544717051094 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (2*R_curvature*ρ_fluid*[g]*h_c)*(1/cos(θ)) --> (2*0.025*14.9*[g]*0.01)*(1/cos(0.263544717051094))

Evaluating ... ...

γ = 0.0756723082180652

STEP 3: Convert Result to Output's Unit

0.0756723082180652 Newton per Meter -->75.6723082180652 Millinewton per Meter (Check conversion here)

FINAL ANSWER

75.6723082180652 ≈ 75.67231 Millinewton per Meter <-- Surface Tension of Fluid

(Calculation completed in 00.004 seconds)

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Created by Pratibha

Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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Surface Tension given Contact Angle Formula

LaTeX Go

Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle))
γ = (2*R_curvature*ρ_fluid*[g]*h_c)*(1/cos(θ))

What do you mean by Contact Angle?

The contact angle is a measure of the ability of a liquid to wet the surface of a solid. The shape that a drop takes on a surface depends on the surface tension of the fluid and the nature of the surface.

How to Calculate Surface Tension given Contact Angle?

Surface Tension given Contact Angle calculator uses Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle)) to calculate the Surface Tension of Fluid, The Surface Tension given Contact Angle formula is defined as a function of Contact angle, the height of capillary rise, acceleration due to Gravity of liquid, Contact angle and the Radius of curvature of the Tube. Surface Tension of Fluid is denoted by γ symbol.

How to calculate Surface Tension given Contact Angle using this online calculator? To use this online calculator for Surface Tension given Contact Angle, enter Radius of Curvature (R_curvature), Density of Fluid (ρ_fluid), Height of Capillary Rise/Fall (h_c) & Contact Angle (θ) and hit the calculate button. Here is how the Surface Tension given Contact Angle calculation can be explained with given input values -> 75672.31 = (2*0.025*14.9*[g]*0.01)*(1/cos(0.263544717051094)).

FAQ

What is Surface Tension given Contact Angle?

The Surface Tension given Contact Angle formula is defined as a function of Contact angle, the height of capillary rise, acceleration due to Gravity of liquid, Contact angle and the Radius of curvature of the Tube and is represented as γ = (2*R_curvature*ρ_fluid*[g]*h_c)*(1/cos(θ)) or Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle)). The Radius of Curvature is the reciprocal of the curvature, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube & The Contact Angle is an angle that a liquid creates with a solid surface or capillary walls of a porous material when both materials come in contact together.

How to calculate Surface Tension given Contact Angle?

The Surface Tension given Contact Angle formula is defined as a function of Contact angle, the height of capillary rise, acceleration due to Gravity of liquid, Contact angle and the Radius of curvature of the Tube is calculated using Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle)). To calculate Surface Tension given Contact Angle, you need Radius of Curvature (R_curvature), Density of Fluid (ρ_fluid), Height of Capillary Rise/Fall (h_c) & Contact Angle (θ). With our tool, you need to enter the respective value for Radius of Curvature, Density of Fluid, Height of Capillary Rise/Fall & Contact Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface Tension of Fluid?

In this formula, Surface Tension of Fluid uses Radius of Curvature, Density of Fluid, Height of Capillary Rise/Fall & Contact Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface Tension of Fluid = Gibbs Free Energy/Area of Surface
Surface Tension of Fluid = (1/2)*(Radius of Tubing*Density of Fluid*[g]*Height of Capillary Rise/Fall)
Surface Tension of Fluid = [EOTVOS_C]*(Critical Temperature-Temperature-6)/(Molecular Weight/Density of Liquid)^(2/3)

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