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Surface Tension given Contact Angle Formula

GoSurface Tension for very Thin Plate using Wilhelmy-Plate Method Formula

GoSurface Tension Force given Density of Fluid Formula

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Surface Tension of Fluid is the energy or work required to increase the surface area of a fluid due to intermolecular forces. Check FAQs

γ = (2 \cdot R curvature \cdot ρ fluid \cdot [g] \cdot h c) \cdot (\frac{1}{\cos (θ)})

γ - Surface Tension of Fluid?R_curvature - Radius of Curvature?ρ_fluid - Density of Fluid?h_c - Height of Capillary Rise/Fall?θ - Contact Angle?[g] - Gravitational acceleration on Earth?

Surface Tension given Contact Angle Example

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Here is how the Surface Tension given Contact Angle equation looks like with Values.

Here is how the Surface Tension given Contact Angle equation looks like with Units.

Here is how the Surface Tension given Contact Angle equation looks like.

75.6723 = (2 \cdot 25 \cdot 14.9 \cdot 9.8066 \cdot 10) \cdot (\frac{1}{\cos (15.1)})

75.6723mN/m = (2 \cdot 25mm \cdot 14.9kg/m³ \cdot 9.8066m/s² \cdot 10mm) \cdot (\frac{1}{\cos (15.1°)})

75.6723 = (2 \cdot 25 \cdot 14.9 \cdot 9.8066 \cdot 10) \cdot (\frac{1}{\cos (15.1)})

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Surface Tension given Contact Angle Solution

Follow our step by step solution on how to calculate Surface Tension given Contact Angle?

FIRST Step Consider the formula

γ = (2 \cdot R curvature \cdot ρ fluid \cdot [g] \cdot h c) \cdot (\frac{1}{\cos (θ)})

Next Step Substitute values of Variables

∴

γ = (2 \cdot 25mm \cdot 14.9kg/m³ \cdot [g] \cdot 10mm) \cdot (\frac{1}{\cos (15.1°)})

Next Step Substitute values of Constants

∴

γ = (2 \cdot 25mm \cdot 14.9kg/m³ \cdot 9.8066m/s² \cdot 10mm) \cdot (\frac{1}{\cos (15.1°)})

Next Step Convert Units

∴

γ = (2 \cdot 0.025m \cdot 14.9kg/m³ \cdot 9.8066m/s² \cdot 0.01m) \cdot (\frac{1}{\cos (0.2635rad)})

Next Step Prepare to Evaluate

∴

γ = (2 \cdot 0.025 \cdot 14.9 \cdot 9.8066 \cdot 0.01) \cdot (\frac{1}{\cos (0.2635)})

Next Step Evaluate

∴

γ = 0.0756723082180652N/m

Next Step Convert to Output's Unit

∴

γ = 75.6723082180652mN/m

LAST Step Rounding Answer

∴

γ = 75.6723mN/m

Surface Tension given Contact Angle Formula Elements

Variables

Constants

Functions

Surface Tension of Fluid

Surface Tension of Fluid is the energy or work required to increase the surface area of a fluid due to intermolecular forces.

Symbol: γ

Measurement: Surface TensionUnit: mN/m

Note: Value should be greater than 0.

Formulas to find Surface Tension of Fluid

Radius of Curvature

The Radius of Curvature is the reciprocal of the curvature.

Symbol: R_curvature

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Density of Fluid

Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

Symbol: ρ_fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Height of Capillary Rise/Fall

The Height of Capillary Rise/Fall is the level to which the water rises or falls in a capillary tube.

Symbol: h_c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Height of Capillary Rise/Fall

Contact Angle

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.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Contact Angle

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Surface Tension of Fluid

Go Surface Tension for very Thin Plate using Wilhelmy-Plate Method

γ = \frac{F thin plate}{2 \cdot W plate}

Go Surface Tension Force given Density of Fluid

γ = (\frac{1}{2}) \cdot (R \cdot ρ fluid \cdot [g] \cdot h c)

Go Surface Tension given Correction Factor

γ = \frac{m \cdot [g]}{2 \cdot π \cdot r cap \cdot f}

Go Surface Tension given Molecular Weight

γ = [EOTVOS_C] \cdot \frac{T c - T - 6}{{(\frac{MW}{ρ liq})}^{\frac{2}{3}}}

Other formulas in Surface Tension category

Go Parachor given Surface Tension

P s = (\frac{M molar}{ρ liq - ρ v}) \cdot {(γ)}^{\frac{1}{4}}

Go Surface Pressure

Π = γ o - γ

Go Height of Magnitude of Capillary Rise

h c = \frac{γ}{(\frac{1}{2}) \cdot (R \cdot ρ fluid \cdot [g])}

Go Surface Tension given Critical Temperature

γ Tc = k o \cdot {(1 - (\frac{T}{T c}))}^{k 1}

How to Evaluate Surface Tension given Contact Angle?

Surface Tension given Contact Angle evaluator uses Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle)) to evaluate 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 evaluate Surface Tension given Contact Angle using this online evaluator? To use this online evaluator 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.

FAQs on Surface Tension given Contact Angle

What is the formula to find Surface Tension given Contact Angle?

The formula of Surface Tension given Contact Angle is expressed as Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle)). Here is an example- 75672.31 = (2*0.025*14.9*[g]*0.01)*(1/cos(0.263544717051094)).

How to calculate Surface Tension given Contact Angle?

With Radius of Curvature (R_curvature), Density of Fluid (ρ_fluid), Height of Capillary Rise/Fall (h_c) & Contact Angle (θ) we can find Surface Tension given Contact Angle using the formula - Surface Tension of Fluid = (2*Radius of Curvature*Density of Fluid*[g]*Height of Capillary Rise/Fall)*(1/cos(Contact Angle)). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

What are the other ways to Calculate Surface Tension of Fluid?

Here are the different ways to Calculate Surface Tension of Fluid-

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)

Can the Surface Tension given Contact Angle be negative?

No, the Surface Tension given Contact Angle, measured in Surface Tension cannot be negative.

Which unit is used to measure Surface Tension given Contact Angle?

Surface Tension given Contact Angle is usually measured using the Millinewton per Meter[mN/m] for Surface Tension. Newton per Meter[mN/m], Gram-Force per Centimeter[mN/m], Dyne per Centimeter[mN/m] are the few other units in which Surface Tension given Contact Angle can be measured.

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Surface Tension given Contact Angle Formula

​GoSurface Tension for very Thin Plate using Wilhelmy-Plate Method Formula

​GoSurface Tension Force given Density of Fluid Formula

Surface Tension given Contact Angle Example

Surface Tension given Contact Angle Solution

Surface Tension given Contact Angle Formula Elements

Other Formulas to find Surface Tension of Fluid

Other formulas in Surface Tension category

How to Evaluate Surface Tension given Contact Angle?

FAQs on Surface Tension given Contact Angle

Variable Name

GoSurface Tension for very Thin Plate using Wilhelmy-Plate Method Formula

GoSurface Tension Force given Density of Fluid Formula