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*Rcurvature*ρfluid*[g]*hc)*(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*Rcurvaturefluid*[g]*hc)*(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)

Credits

Created by Pratibha
Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
Pratibha has created this Calculator and 100+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

20 Surface Tension Calculators

Surface Tension given Contact Angle
Go Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle))
Surface Tension of Sea Water
Go Surface Tension of Sea Water = Surface Tension of Pure Water*(1+(3.766*10^(-4)*Reference Salinity)+(2.347*10^(-6)*Reference Salinity*Temperature in Degree Celsius))
Surface Tension Given Maximum Volume
Go Surface Tension = (Volume*Change in Density*[g]*Correction Factor)/(2*pi*Capillary Radius)
Surface Tension given Molecular Weight
Go Surface Tension of Fluid = [EOTVOS_C]*(Critical Temperature-Temperature-6)/(Molecular Weight/Density of Liquid)^(2/3)
Surface Tension of Pure Water
Go Surface Tension of Pure Water = 235.8*(1-(Temperature/Critical Temperature))^(1.256)*(1-(0.625*(1-(Temperature/Critical Temperature))))
Surface Tension given Critical Temperature
Go Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)
Surface Tension given Correction Factor
Go Surface Tension of Fluid = (Drop Weight*[g])/(2*pi*Capillary Radius*Correction Factor)
Surface Tension given Molar Volume
Go Surface Tension of Fluid given Molar Volume = [EOTVOS_C]*(Critical Temperature-Temperature)/(Molar Volume)^(2/3)
Height of Magnitude of Capillary Rise
Go Height of Capillary Rise/Fall = Surface Tension of Fluid/((1/2)*(Radius of Tubing*Density of Fluid*[g]))
Surface Tension Force given Density of Fluid
Go Surface Tension of Fluid = (1/2)*(Radius of Tubing*Density of Fluid*[g]*Height of Capillary Rise/Fall)
Surface Tension Given Density of Vapor
Go Surface Tension of Fluid = Characteristic Constant*(Density of Liquid-Density of Vapor)^4
Surface Tension given Temperature
Go Surface Tension of Fluid given Temperature = 75.69-(0.1413*Temperature)-(0.0002985*(Temperature)^2)
Surface Tension Given Force
Go Surface Tension of Fluid = Force/(4*pi*Radius of Ring)
Work of Cohesion given Surface Tension
Go Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3)
Solubility Parameter Given Surface Tension
Go Solubility Parameter = 4.1*(Surface Tension of Fluid/(Molar Volume)^(1/3))^(0.43)
Surface Tension for very Thin Plate using Wilhelmy-Plate Method
Go Surface Tension of Fluid = Force on very Thin Plate/(2*Weight of Plate)
Surface Tension Given Gibbs Free Energy
Go Surface Tension of Fluid = Gibbs Free Energy/Area of Surface
Gibbs Free Energy Given Surface Area
Go Gibbs Free Energy = Surface Tension of Fluid*Area of Surface
Surface Tension of Methane+Hexane System
Go Surface Tension of Methane+Hexane System = 0.64+(17.85*Concentration of Hexane)
Surface Tension of Liquid Methane
Go Surface Tension of Liquid Methane = 40.52*(1-(Temperature/190.55))^1.287

17 Important Formulas on Surface Tension Calculators

Force given Surface Tension using Wilhelmy-Plate Method
Go Force = (Density of Plate*[g]*(Length of Plate*Width of Full Size Bearing Plate*Thickness of Plate))+(2*Surface Tension of Fluid*(Thickness of Plate+Width of Full Size Bearing Plate)*(cos(Contact Angle)))-(Density of Fluid*[g]*Thickness of Plate*Width of Full Size Bearing Plate*Depth of Plate)
Surface Tension given Contact Angle
Go Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle))
Surface Tension given Molecular Weight
Go Surface Tension of Fluid = [EOTVOS_C]*(Critical Temperature-Temperature-6)/(Molecular Weight/Density of Liquid)^(2/3)
Surface Tension of Pure Water
Go Surface Tension of Pure Water = 235.8*(1-(Temperature/Critical Temperature))^(1.256)*(1-(0.625*(1-(Temperature/Critical Temperature))))
Surface Tension given Critical Temperature
Go Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)
Surface Tension given Correction Factor
Go Surface Tension of Fluid = (Drop Weight*[g])/(2*pi*Capillary Radius*Correction Factor)
Surface Tension given Molar Volume
Go Surface Tension of Fluid given Molar Volume = [EOTVOS_C]*(Critical Temperature-Temperature)/(Molar Volume)^(2/3)
Height of Magnitude of Capillary Rise
Go Height of Capillary Rise/Fall = Surface Tension of Fluid/((1/2)*(Radius of Tubing*Density of Fluid*[g]))
Surface Tension Force given Density of Fluid
Go Surface Tension of Fluid = (1/2)*(Radius of Tubing*Density of Fluid*[g]*Height of Capillary Rise/Fall)
Total Weight of Plate using Wilhelmy-Plate Method
Go Total Weight of Solid Surface = Weight of Plate+Surface Tension of Fluid*(Perimeter)-Upward Drift
Total Weight of Ring using Ring-Detachment Method
Go Total Weight of Solid Surface = Weight of Ring+(4*pi*Radius of Ring*Surface Tension of Fluid)
Parachor given Surface Tension
Go Parachor = (Molar Mass/(Density of Liquid-Density of Vapor))*(Surface Tension of Fluid)^(1/4)
Surface Pressure using Wilhelmy-Plate Method
Go Surface Pressure of Thin Film = -(Change in Force/(2* (Thickness of Plate+Weight of Plate)))
Surface Tension given Temperature
Go Surface Tension of Fluid given Temperature = 75.69-(0.1413*Temperature)-(0.0002985*(Temperature)^2)
Surface Pressure
Go Surface Pressure of Thin Film = Surface Tension of Clean Water Surface-Surface Tension of Fluid
Work of Cohesion given Surface Tension
Go Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3)
Surface Tension for very Thin Plate using Wilhelmy-Plate Method
Go Surface Tension of Fluid = Force on very Thin Plate/(2*Weight of Plate)

Surface Tension given Contact Angle Formula

Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle))
γ = (2*Rcurvature*ρfluid*[g]*hc)*(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 (Rcurvature), Density of Fluid fluid), Height of Capillary Rise/Fall (hc) & 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*Rcurvaturefluid*[g]*hc)*(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 (Rcurvature), Density of Fluid fluid), Height of Capillary Rise/Fall (hc) & 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 11 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)
  • Surface Tension of Fluid = Force/(4*pi*Radius of Ring)
  • Surface Tension of Fluid = Characteristic Constant*(Density of Liquid-Density of Vapor)^4
  • Surface Tension of Fluid = (Drop Weight*[g])/(2*pi*Capillary Radius*Correction Factor)
  • Surface Tension of Fluid = Force on very Thin Plate/(2*Weight of Plate)
  • Surface Tension of Fluid = Force on very Thin Plate/(2*Weight of Plate)
  • Surface Tension of Fluid = (1/2)*(Radius of Tubing*Density of Fluid*[g]*Height of Capillary Rise/Fall)
  • Surface Tension of Fluid = (Drop Weight*[g])/(2*pi*Capillary Radius*Correction Factor)
  • Surface Tension of Fluid = [EOTVOS_C]*(Critical Temperature-Temperature-6)/(Molecular Weight/Density of Liquid)^(2/3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!