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Work of Cohesion given Surface Tension Formula

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Work of Cohesion is defined as the surface free energy increased by separating a column of pure liquid into two halves. Check FAQs

W Coh = 2 \cdot γ \cdot {[Avaga-no]}^{\frac{1}{3}} \cdot {(V m)}^{\frac{2}{3}}

W_Coh - Work of Cohesion?γ - Surface Tension of Fluid?V_m - Molar Volume?[Avaga-no] - Avogadro’s number?

Work of Cohesion given Surface Tension Example

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Here is how the Work of Cohesion given Surface Tension equation looks like with Values.

Here is how the Work of Cohesion given Surface Tension equation looks like with Units.

Here is how the Work of Cohesion given Surface Tension equation looks like.

9.8E+7 = 2 \cdot 73 \cdot {6E+23}^{\frac{1}{3}} \cdot {(22.4)}^{\frac{2}{3}}

9.8E+7J/m² = 2 \cdot 73mN/m \cdot {6E+23}^{\frac{1}{3}} \cdot {(22.4m³/mol)}^{\frac{2}{3}}

9.8E+7 = 2 \cdot 73 \cdot {6E+23}^{\frac{1}{3}} \cdot {(22.4)}^{\frac{2}{3}}

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Work of Cohesion given Surface Tension Solution

Follow our step by step solution on how to calculate Work of Cohesion given Surface Tension?

FIRST Step Consider the formula

W Coh = 2 \cdot γ \cdot {[Avaga-no]}^{\frac{1}{3}} \cdot {(V m)}^{\frac{2}{3}}

Next Step Substitute values of Variables

∴

W Coh = 2 \cdot 73mN/m \cdot {[Avaga-no]}^{\frac{1}{3}} \cdot {(22.4m³/mol)}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

W Coh = 2 \cdot 73mN/m \cdot {6E+23}^{\frac{1}{3}} \cdot {(22.4m³/mol)}^{\frac{2}{3}}

Next Step Convert Units

∴

W Coh = 2 \cdot 0.073N/m \cdot {6E+23}^{\frac{1}{3}} \cdot {(22.4m³/mol)}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

W Coh = 2 \cdot 0.073 \cdot {6E+23}^{\frac{1}{3}} \cdot {(22.4)}^{\frac{2}{3}}

Next Step Evaluate

∴

W Coh = 97971968.7883846J/m²

LAST Step Rounding Answer

∴

W Coh = 9.8E+7J/m²

Work of Cohesion given Surface Tension Formula Elements

Variables

Constants

Work of Cohesion

Work of Cohesion is defined as the surface free energy increased by separating a column of pure liquid into two halves.

Symbol: W_Coh

Measurement: Heat DensityUnit: J/m²

Note: Value should be greater than 0.

Formulas to find Work of Cohesion

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

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

Avogadro’s number

Avogadro’s number represents the number of entities (atoms, molecules, ions, etc.) in one mole of a substance.

Symbol: [Avaga-no]

Value: 6.02214076E+23

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 for very Thin Plate using Wilhelmy-Plate Method

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

How to Evaluate Work of Cohesion given Surface Tension?

Work of Cohesion given Surface Tension evaluator uses Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3) to evaluate the Work of Cohesion, The Work of Cohesion given Surface Tension formula is defined as the surface tension times the amount of new area created. Work of Cohesion is denoted by W_Coh symbol.

How to evaluate Work of Cohesion given Surface Tension using this online evaluator? To use this online evaluator for Work of Cohesion given Surface Tension, enter Surface Tension of Fluid (γ) & Molar Volume (V_m) and hit the calculate button.

FAQs on Work of Cohesion given Surface Tension

What is the formula to find Work of Cohesion given Surface Tension?

The formula of Work of Cohesion given Surface Tension is expressed as Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3). Here is an example- 9.8E+7 = 2*0.073*[Avaga-no]^(1/3)*(22.4)^(2/3).

How to calculate Work of Cohesion given Surface Tension?

With Surface Tension of Fluid (γ) & Molar Volume (V_m) we can find Work of Cohesion given Surface Tension using the formula - Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3). This formula also uses Avogadro’s number constant(s).

Can the Work of Cohesion given Surface Tension be negative?

No, the Work of Cohesion given Surface Tension, measured in Heat Density cannot be negative.

Which unit is used to measure Work of Cohesion given Surface Tension?

Work of Cohesion given Surface Tension is usually measured using the Joule per Square Meter[J/m²] for Heat Density. Calorie (th) per Square Centimeter[J/m²], Langley[J/m²], Btu (IT) per Square Foot[J/m²] are the few other units in which Work of Cohesion given Surface Tension can be measured.

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