Work of Cohesion given Surface Tension Solution

STEP 0: Pre-Calculation Summary
Formula Used
Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3)
WCoh = 2*γ*[Avaga-no]^(1/3)*(Vm)^(2/3)
This formula uses 1 Constants, 3 Variables
Constants Used
[Avaga-no] - Avogadro’s number Value Taken As 6.02214076E+23
Variables Used
Work of Cohesion - (Measured in Joule per Square Meter) - Work of Cohesion is defined as the surface free energy increased by separating a column of pure liquid into two halves.
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.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
STEP 1: Convert Input(s) to Base Unit
Surface Tension of Fluid: 73 Millinewton per Meter --> 0.073 Newton per Meter (Check conversion here)
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WCoh = 2*γ*[Avaga-no]^(1/3)*(Vm)^(2/3) --> 2*0.073*[Avaga-no]^(1/3)*(22.4)^(2/3)
Evaluating ... ...
WCoh = 97971968.7883846
STEP 3: Convert Result to Output's Unit
97971968.7883846 Joule per Square Meter --> No Conversion Required
FINAL ANSWER
97971968.7883846 9.8E+7 Joule per Square Meter <-- Work of Cohesion
(Calculation completed in 00.004 seconds)

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

Work of Cohesion given Surface Tension Formula

Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3)
WCoh = 2*γ*[Avaga-no]^(1/3)*(Vm)^(2/3)

What is Surface Tension?

Surface tension is the tension of the surface film of a liquid caused by the attraction of the particles in the surface layer by the bulk of the liquid, which tends to minimize surface area. Surface tension not only depends upon the forces of attraction between the particles within the given liquid but also on the forces of attraction of solid, liquid or gas in contact with it. The energy responsible for the phenomenon of surface tension may be thought of as approximately equivalent to the work or energy required to remove the surface layer of molecules in a unit area.

How to Calculate Work of Cohesion given Surface Tension?

Work of Cohesion given Surface Tension calculator uses Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3) to calculate 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 WCoh symbol.

How to calculate Work of Cohesion given Surface Tension using this online calculator? To use this online calculator for Work of Cohesion given Surface Tension, enter Surface Tension of Fluid (γ) & Molar Volume (Vm) and hit the calculate button. Here is how the Work of Cohesion given Surface Tension calculation can be explained with given input values -> 9.8E+7 = 2*0.073*[Avaga-no]^(1/3)*(22.4)^(2/3).

FAQ

What is Work of Cohesion given Surface Tension?
The Work of Cohesion given Surface Tension formula is defined as the surface tension times the amount of new area created and is represented as WCoh = 2*γ*[Avaga-no]^(1/3)*(Vm)^(2/3) or Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3). Surface Tension of Fluid is the energy or work required to increase the surface area of a fluid due to intermolecular forces & Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
How to calculate Work of Cohesion given Surface Tension?
The Work of Cohesion given Surface Tension formula is defined as the surface tension times the amount of new area created is calculated using Work of Cohesion = 2*Surface Tension of Fluid*[Avaga-no]^(1/3)*(Molar Volume)^(2/3). To calculate Work of Cohesion given Surface Tension, you need Surface Tension of Fluid (γ) & Molar Volume (Vm). With our tool, you need to enter the respective value for Surface Tension of Fluid & Molar Volume 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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