Diffusivity by Stefan Tube Method Calculator

✖The temperature of Gas is the measure of the hotness or coldness of a gas.ⓘ Temperature of Gas [T]			+10% -10%
✖The Log Mean Partial Pressure of B is the Partial pressure of component B in terms of the logarithmic mean.ⓘ Log Mean Partial Pressure of B [P_BLM]			+10% -10%
✖The density of liquid is defined as the mass of liquid per unit volume.ⓘ Density of Liquid [ρ_L]			+10% -10%
✖Height of column 1 is the length of the column1 measured from bottom to Top.ⓘ Height of Column 1 [h₁]			+10% -10%
✖Height of column 2 is the length of the column2 measured from bottom to Top.ⓘ Height of Column 2 [h₂]			+10% -10%
✖Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure of Gas [P_T]			+10% -10%
✖Molecular Weight A is the mass of a given molecule a.ⓘ Molecular Weight A [M_A]			+10% -10%
✖The Partial Pressure of component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed side of the diffusing component.ⓘ Partial Pressure of Component A in 1 [P_A1]			+10% -10%
✖The Partial Pressure of component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component.ⓘ Partial Pressure of Component A in 2 [P_A2]			+10% -10%
✖Diffusion Time represents the total time in which the diffusion was taking place.ⓘ Diffusion Time [t]			+10% -10%

✖The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit.ⓘ Diffusivity by Stefan Tube Method [D_AB]

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Formula

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Diffusivity by Stefan Tube Method

Formula

`"D"_{"AB"} = ("[R]"*"T"*"P"_{"BLM"}*"ρ"_{"L"}*("h"_{"1"}^2-"h"_{"2"}^2))/(2*"P"_{"T"}*"M"_{"A"}*("P"_{"A1"}-"P"_{"A2"})*"t")`

Example

`"0.007961m²/s"=("[R]"*"298K"*"101300Pa"*"850kg/m³"*(("75cm")^2-("2cm")^2))/(2*"101325Pa"*"4kg/mol"*("30000Pa"-"11416Pa")*"1000s")`

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Diffusivity by Stefan Tube Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffusion Coefficient (DAB) = ([R]*Temperature of Gas*Log Mean Partial Pressure of B*Density of Liquid*(Height of Column 1^2-Height of Column 2^2))/(2*Total Pressure of Gas*Molecular Weight A*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)*Diffusion Time)
D_AB = ([R]*T*P_BLM*ρ_L*(h₁^2-h₂^2))/(2*P_T*M_A*(P_A1-P_A2)*t)
This formula uses 1 Constants, 11 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Diffusion Coefficient (DAB) - (Measured in Square Meter Per Second) - The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of the hotness or coldness of a gas.
Log Mean Partial Pressure of B - (Measured in Pascal) - The Log Mean Partial Pressure of B is the Partial pressure of component B in terms of the logarithmic mean.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - The density of liquid is defined as the mass of liquid per unit volume.
Height of Column 1 - (Measured in Meter) - Height of column 1 is the length of the column1 measured from bottom to Top.
Height of Column 2 - (Measured in Meter) - Height of column 2 is the length of the column2 measured from bottom to Top.
Total Pressure of Gas - (Measured in Pascal) - Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.
Molecular Weight A - (Measured in Kilogram Per Mole) - Molecular Weight A is the mass of a given molecule a.
Partial Pressure of Component A in 1 - (Measured in Pascal) - The Partial Pressure of component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed side of the diffusing component.
Partial Pressure of Component A in 2 - (Measured in Pascal) - The Partial Pressure of component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component.
Diffusion Time - (Measured in Second) - Diffusion Time represents the total time in which the diffusion was taking place.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 298 Kelvin --> 298 Kelvin No Conversion Required
Log Mean Partial Pressure of B: 101300 Pascal --> 101300 Pascal No Conversion Required
Density of Liquid: 850 Kilogram per Cubic Meter --> 850 Kilogram per Cubic Meter No Conversion Required
Height of Column 1: 75 Centimeter --> 0.75 Meter (Check conversion here)
Height of Column 2: 2 Centimeter --> 0.02 Meter (Check conversion here)
Total Pressure of Gas: 101325 Pascal --> 101325 Pascal No Conversion Required
Molecular Weight A: 4 Kilogram Per Mole --> 4 Kilogram Per Mole No Conversion Required
Partial Pressure of Component A in 1: 30000 Pascal --> 30000 Pascal No Conversion Required
Partial Pressure of Component A in 2: 11416 Pascal --> 11416 Pascal No Conversion Required
Diffusion Time: 1000 Second --> 1000 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_AB = ([R]*T*P_BLM*ρ_L*(h₁^2-h₂^2))/(2*P_T*M_A*(P_A1-P_A2)*t) --> ([R]*298*101300*850*(0.75^2-0.02^2))/(2*101325*4*(30000-11416)*1000)

Evaluating ... ...

D_AB = 0.00796061479302969

STEP 3: Convert Result to Output's Unit

0.00796061479302969 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

0.00796061479302969 ≈ 0.007961 Square Meter Per Second <-- Diffusion Coefficient (DAB)

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Diffusion » Diffusivity: Measurement & Prediction » Diffusivity by Stefan Tube Method

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< 5 Diffusivity: Measurement & Prediction Calculators

Diffusivity by Stefan Tube Method

Go Diffusion Coefficient (DAB) = ([R]*Temperature of Gas*Log Mean Partial Pressure of B*Density of Liquid*(Height of Column 1^2-Height of Column 2^2))/(2*Total Pressure of Gas*Molecular Weight A*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)*Diffusion Time)

Diffusivity by Twin Bulb Method

Go Diffusion Coefficient (DAB) = ((Length of Tube/(Inner Cross Section Area*Diffusion Time))*(ln(Total Pressure of Gas/(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2))

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

Go Diffusion Coefficient (DAB) = ((1.0133*(10^(-7))*(Temperature of Gas^1.75))/(Total Pressure of Gas*(((Total Atomic Diffusion Volume A^(1/3))+(Total Atomic Diffusion Volume B^(1/3)))^2)))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2))

Chapman Enskog Equation for Gas Phase Diffusivity

Go Diffusion Coefficient (DAB) = (1.858*(10^(-7))*(Temperature of Gas^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Total Pressure of Gas*Characteristic Length Parameter^2*Collision Integral)

Wilke Chang Equation for Liquid Phase Diffusivity

Go Diffusion Coefficient (DAB) = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature of Gas)/(Dynamic Viscosity of Liquid*((Molar Volume of Liquid/1000)^0.6))

< 16 Important Formulas in Diffusion Calculators

Diffusivity by Stefan Tube Method

Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*ln((Total Pressure of Gas-Partial Pressure of Component A in 2)/(Total Pressure of Gas-Partial Pressure of Component A in 1))

Diffusivity by Twin Bulb Method

Molar Flux of Diffusing Component A through Non-Diffusing B based on Log Mean Partial Pressure

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*((Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)/Log Mean Partial Pressure of B)

Mass Diffusing Rate through Hollow Cylinder with Solid Boundary

Go Mass Diffusing Rate = (2*pi*Diffusion Coefficient*Length of Cylinder*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2))/ln(Outer Radius of Cylinder/Inner Radius of Cylinder)

Mass Diffusing Rate through Solid Boundary Sphere

Go Mass Diffusing Rate = (4*pi*Inner Radius*Outer Radius*Diffusion Coefficient*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2))/(Outer Radius-Inner Radius)

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*(Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMPP

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*(Total Pressure of Gas^2))/(Film Thickness))*((Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/Log Mean Partial Pressure of B)

Molar Flux of Diffusing Component A through Non-Diffusing B based on Concentration of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*((Concentration of Component A in 1-Concentration of Component A in 2)/Log Mean Partial Pressure of B)

Chapman Enskog Equation for Gas Phase Diffusivity

Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A

Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*ln((1-Mole Fraction of Component A in 2)/(1-Mole Fraction of Component A in 1))

Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Partial Pressure of A

Go Molar Flux of Diffusing Component A = (Diffusion Coefficient (DAB)/([R]*Temperature of Gas*Film Thickness))*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)

Mass Diffusing Rate through Solid Boundary Plate

Go Mass Diffusing Rate = (Diffusion Coefficient*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)*Area of Solid Boundary Plate)/Thickness of Solid Plate

Wilke Chang Equation for Liquid Phase Diffusivity

Go Diffusion Coefficient (DAB) = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature of Gas)/(Dynamic Viscosity of Liquid*((Molar Volume of Liquid/1000)^0.6))

Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Concentration of A

Go Molar Flux of Diffusing Component A = (Diffusion Coefficient (DAB)/(Film Thickness))*(Concentration of Component A in 1-Concentration of Component A in 2)

Diffusivity by Stefan Tube Method Formula

What is Stefan Tube Method ?

Stefan tube consists of a T tube made of glass, placed in a constant temperature water bath. Air pump is used to supply the air, passed through the T tube. Volatile component is filled in the T tube and air passed over it by the pump and change in the level is observed by the sliding microscope.

How to Calculate Diffusivity by Stefan Tube Method?

Diffusivity by Stefan Tube Method calculator uses Diffusion Coefficient (DAB) = ([R]*Temperature of Gas*Log Mean Partial Pressure of B*Density of Liquid*(Height of Column 1^2-Height of Column 2^2))/(2*Total Pressure of Gas*Molecular Weight A*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)*Diffusion Time) to calculate the Diffusion Coefficient (DAB), The Diffusivity by Stefan Tube Method formula is defined as the Diffusivity of gas phase determination by using Stefan tube experimental procedure. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to calculate Diffusivity by Stefan Tube Method using this online calculator? To use this online calculator for Diffusivity by Stefan Tube Method, enter Temperature of Gas (T), Log Mean Partial Pressure of B (P_BLM), Density of Liquid (ρ_L), Height of Column 1 (h₁), Height of Column 2 (h₂), Total Pressure of Gas (P_T), Molecular Weight A (M_A), Partial Pressure of Component A in 1 (P_A1), Partial Pressure of Component A in 2 (P_A2) & Diffusion Time (t) and hit the calculate button. Here is how the Diffusivity by Stefan Tube Method calculation can be explained with given input values -> 0.000199 = ([R]*298*101300*850*(0.75^2-0.02^2))/(2*101325*4*(30000-11416)*1000).

FAQ

What is Diffusivity by Stefan Tube Method?

The Diffusivity by Stefan Tube Method formula is defined as the Diffusivity of gas phase determination by using Stefan tube experimental procedure and is represented as D_AB = ([R]*T*P_BLM*ρ_L*(h₁^2-h₂^2))/(2*P_T*M_A*(P_A1-P_A2)*t) or Diffusion Coefficient (DAB) = ([R]*Temperature of Gas*Log Mean Partial Pressure of B*Density of Liquid*(Height of Column 1^2-Height of Column 2^2))/(2*Total Pressure of Gas*Molecular Weight A*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)*Diffusion Time). The temperature of Gas is the measure of the hotness or coldness of a gas, The Log Mean Partial Pressure of B is the Partial pressure of component B in terms of the logarithmic mean, The density of liquid is defined as the mass of liquid per unit volume, Height of column 1 is the length of the column1 measured from bottom to Top, Height of column 2 is the length of the column2 measured from bottom to Top, Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container, Molecular Weight A is the mass of a given molecule a, The Partial Pressure of component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed side of the diffusing component, The Partial Pressure of component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component & Diffusion Time represents the total time in which the diffusion was taking place.

How to calculate Diffusivity by Stefan Tube Method?

The Diffusivity by Stefan Tube Method formula is defined as the Diffusivity of gas phase determination by using Stefan tube experimental procedure is calculated using Diffusion Coefficient (DAB) = ([R]*Temperature of Gas*Log Mean Partial Pressure of B*Density of Liquid*(Height of Column 1^2-Height of Column 2^2))/(2*Total Pressure of Gas*Molecular Weight A*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)*Diffusion Time). To calculate Diffusivity by Stefan Tube Method, you need Temperature of Gas (T), Log Mean Partial Pressure of B (P_BLM), Density of Liquid (ρ_L), Height of Column 1 (h₁), Height of Column 2 (h₂), Total Pressure of Gas (P_T), Molecular Weight A (M_A), Partial Pressure of Component A in 1 (P_A1), Partial Pressure of Component A in 2 (P_A2) & Diffusion Time (t). With our tool, you need to enter the respective value for Temperature of Gas, Log Mean Partial Pressure of B, Density of Liquid, Height of Column 1, Height of Column 2, Total Pressure of Gas, Molecular Weight A, Partial Pressure of Component A in 1, Partial Pressure of Component A in 2 & Diffusion Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diffusion Coefficient (DAB)?

In this formula, Diffusion Coefficient (DAB) uses Temperature of Gas, Log Mean Partial Pressure of B, Density of Liquid, Height of Column 1, Height of Column 2, Total Pressure of Gas, Molecular Weight A, Partial Pressure of Component A in 1, Partial Pressure of Component A in 2 & Diffusion Time. We can use 8 other way(s) to calculate the same, which is/are as follows -

Diffusion Coefficient (DAB) = ((Length of Tube/(Inner Cross Section Area*Diffusion Time))*(ln(Total Pressure of Gas/(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2))
Diffusion Coefficient (DAB) = (1.858*(10^(-7))*(Temperature of Gas^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Total Pressure of Gas*Characteristic Length Parameter^2*Collision Integral)
Diffusion Coefficient (DAB) = ((1.0133*(10^(-7))*(Temperature of Gas^1.75))/(Total Pressure of Gas*(((Total Atomic Diffusion Volume A^(1/3))+(Total Atomic Diffusion Volume B^(1/3)))^2)))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2))
Diffusion Coefficient (DAB) = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature of Gas)/(Dynamic Viscosity of Liquid*((Molar Volume of Liquid/1000)^0.6))
Diffusion Coefficient (DAB) = (1.858*(10^(-7))*(Temperature of Gas^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Total Pressure of Gas*Characteristic Length Parameter^2*Collision Integral)
Diffusion Coefficient (DAB) = ((Length of Tube/(Inner Cross Section Area*Diffusion Time))*(ln(Total Pressure of Gas/(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2))
Diffusion Coefficient (DAB) = ((1.0133*(10^(-7))*(Temperature of Gas^1.75))/(Total Pressure of Gas*(((Total Atomic Diffusion Volume A^(1/3))+(Total Atomic Diffusion Volume B^(1/3)))^2)))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2))
Diffusion Coefficient (DAB) = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature of Gas)/(Dynamic Viscosity of Liquid*((Molar Volume of Liquid/1000)^0.6))

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