Surface Tension given Critical Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)
γTc = ko*(1-(T/Tc))^(k1)
This formula uses 5 Variables
Variables Used
Surface Tension of Fluid given Critical Temp - (Measured in Newton per Meter) - Surface Tension of Fluid given Critical Temp is the energy or work required to increase the surface area of a fluid due to intermolecular forces.
Constant for each Liquid - Constant for each Liquid is the constant being the surface tension of a liquid at absolute zero.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Critical Temperature - (Measured in Kelvin) - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
Empirical Factor - Empirical Factor is the value originating in or based on the empirical observation that relates the surface tension to the critical temperature.
STEP 1: Convert Input(s) to Base Unit
Constant for each Liquid: 55 --> No Conversion Required
Temperature: 45 Kelvin --> 45 Kelvin No Conversion Required
Critical Temperature: 190.55 Kelvin --> 190.55 Kelvin No Conversion Required
Empirical Factor: 1.23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γTc = ko*(1-(T/Tc))^(k1) --> 55*(1-(45/190.55))^(1.23)
Evaluating ... ...
γTc = 39.4872323481773
STEP 3: Convert Result to Output's Unit
39.4872323481773 Newton per Meter -->39487.2323481773 Millinewton per Meter (Check conversion here)
FINAL ANSWER
39487.2323481773 39487.23 Millinewton per Meter <-- Surface Tension of Fluid given Critical Temp
(Calculation completed in 00.004 seconds)

Credits

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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)

Surface Tension given Critical Temperature Formula

Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)
γTc = ko*(1-(T/Tc))^(k1)

What is Eötvös Rule?

The Eötvös rule, named after the Hungarian physicist Loránd (Roland) Eötvös (1848–1919) enables the prediction of the surface tension of an arbitrary liquid pure substance at all temperatures. The density, molar mass, and the critical temperature of the liquid have to be known. At the critical point the surface tension is zero.

What are the Assumptions of Eötvös Rule?

The first assumption of the Eötvös rule is:
1. The surface tension is a linear function of the temperature.

This assumption is approximately fulfilled for most known liquids. When plotting the surface tension versus the temperature a fairly straight line can be seen which has a surface tension of zero at the critical temperature.

The Eötvös rule also gives a relation of the surface tension behavior of different liquids in respect to each other:

2. The temperature dependence of the surface tension can be plotted for all liquids in a way that the data collapses to a single master curve. To do so either the molar mass, the density, or the molar volume of the corresponding liquid has to be known.

How to Calculate Surface Tension given Critical Temperature?

Surface Tension given Critical Temperature calculator uses Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor) to calculate the Surface Tension of Fluid given Critical Temp, The Surface Tension given Critical Temperature is a relationship that allows one to calculate the magnitude of surface tension at given critical temperatures. Surface Tension of Fluid given Critical Temp is denoted by γTc symbol.

How to calculate Surface Tension given Critical Temperature using this online calculator? To use this online calculator for Surface Tension given Critical Temperature, enter Constant for each Liquid (ko), Temperature (T), Critical Temperature (Tc) & Empirical Factor (k1) and hit the calculate button. Here is how the Surface Tension given Critical Temperature calculation can be explained with given input values -> 2.7E+7 = 55*(1-(45/190.55))^(1.23).

FAQ

What is Surface Tension given Critical Temperature?
The Surface Tension given Critical Temperature is a relationship that allows one to calculate the magnitude of surface tension at given critical temperatures and is represented as γTc = ko*(1-(T/Tc))^(k1) or Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor). Constant for each Liquid is the constant being the surface tension of a liquid at absolute zero, Temperature is the degree or intensity of heat present in a substance or object, Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor & Empirical Factor is the value originating in or based on the empirical observation that relates the surface tension to the critical temperature.
How to calculate Surface Tension given Critical Temperature?
The Surface Tension given Critical Temperature is a relationship that allows one to calculate the magnitude of surface tension at given critical temperatures is calculated using Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor). To calculate Surface Tension given Critical Temperature, you need Constant for each Liquid (ko), Temperature (T), Critical Temperature (Tc) & Empirical Factor (k1). With our tool, you need to enter the respective value for Constant for each Liquid, Temperature, Critical Temperature & Empirical Factor 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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