Surface Tension given Critical Temperature Calculator

✖Constant for each Liquid is the constant being the surface tension of a liquid at absolute zero.ⓘ Constant for each Liquid [k_o]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖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.ⓘ Critical Temperature [T_c]			+10% -10%
✖Empirical Factor is the value originating in or based on the empirical observation that relates the surface tension to the critical temperature.ⓘ Empirical Factor [k₁]			+10% -10%

✖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.ⓘ Surface Tension given Critical Temperature [γ_Tc]

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Formula

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Surface Tension given Critical Temperature

Formula

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

Example

39487.23 mN/m = 55 \cdot {(1 - (\frac{45 K}{190.55 K}))}^{1.23}

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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)
γ_Tc = k_o*(1-(T/T_c))^(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

γ_Tc = k_o*(1-(T/T_c))^(k₁) --> 55*(1-(45/190.55))^(1.23)

Evaluating ... ...

γ_Tc = 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 00.020 seconds)

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Created by Pratibha

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

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Surface Tension given Critical Temperature Formula

Surface Tension of Fluid given Critical Temp = Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)
γ_Tc = k_o*(1-(T/T_c))^(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 γ_Tc 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 (k_o), Temperature (T), Critical Temperature (T_c) & 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 γ_Tc = k_o*(1-(T/T_c))^(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 (k_o), Temperature (T), Critical Temperature (T_c) & 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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