Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Calculator

✖The temperature of Gas is the measure of the hotness or coldness of a gas.ⓘ Temperature of Gas [T]			+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%
✖The Total Atomic diffusion volume A is the summation of the atomic diffusion volumes of the atoms and the structural groups in the molecule which are found by regression analysis of experimental data.ⓘ Total Atomic Diffusion Volume A [Σv_A]			+10% -10%
✖The Total Atomic diffusion volume B is the summation of the atomic diffusion volumes of the atoms and the structural groups in the molecule which are found by regression analysis of experimental data.ⓘ Total Atomic Diffusion Volume B [Σv_B]			+10% -10%
✖Molecular Weight A is the mass of a given molecule a.ⓘ Molecular Weight A [M_A]			+10% -10%
✖Molecular Weight B is the mass of a given molecule b.ⓘ Molecular Weight B [M_b]			+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.ⓘ Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity [D_AB]

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Formula

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Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

Formula

`"D"_{"AB"} = ((1.0133*(10^(-7))*("T"^1.75))/("P"_{"T"}*((("Σv"_{"A"}^(1/3))+("Σv"_{"B"}^(1/3)))^2)))*(((1/"M"_{"A"})+(1/"M"_{"b"}))^(1/2))`

Example

`"0.007037m²/s"=((1.0133*(10^(-7))*(("298K")^1.75))/("101325Pa"*(((("0.02m³")^(1/3))+(("0.014m³")^(1/3)))^2)))*(((1/"4kg/mol")+(1/"2.01kg/mol"))^(1/2))`

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Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_AB = ((1.0133*(10^(-7))*(T^1.75))/(P_T*(((Σv_A^(1/3))+(Σv_B^(1/3)))^2)))*(((1/M_A)+(1/M_b))^(1/2))
This formula uses 7 Variables

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.
Total Pressure of Gas - (Measured in Bar) - Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.
Total Atomic Diffusion Volume A - (Measured in Cubic Meter) - The Total Atomic diffusion volume A is the summation of the atomic diffusion volumes of the atoms and the structural groups in the molecule which are found by regression analysis of experimental data.
Total Atomic Diffusion Volume B - (Measured in Cubic Meter) - The Total Atomic diffusion volume B is the summation of the atomic diffusion volumes of the atoms and the structural groups in the molecule which are found by regression analysis of experimental data.
Molecular Weight A - (Measured in Kilogram Per Mole) - Molecular Weight A is the mass of a given molecule a.
Molecular Weight B - (Measured in Kilogram Per Mole) - Molecular Weight B is the mass of a given molecule b.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 298 Kelvin --> 298 Kelvin No Conversion Required
Total Pressure of Gas: 101325 Pascal --> 1.01325 Bar (Check conversion here)
Total Atomic Diffusion Volume A: 0.02 Cubic Meter --> 0.02 Cubic Meter No Conversion Required
Total Atomic Diffusion Volume B: 0.014 Cubic Meter --> 0.014 Cubic Meter No Conversion Required
Molecular Weight A: 4 Kilogram Per Mole --> 4 Kilogram Per Mole No Conversion Required
Molecular Weight B: 2.01 Kilogram Per Mole --> 2.01 Kilogram Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_AB = ((1.0133*(10^(-7))*(T^1.75))/(P_T*(((Σv_A^(1/3))+(Σv_B^(1/3)))^2)))*(((1/M_A)+(1/M_b))^(1/2)) --> ((1.0133*(10^(-7))*(298^1.75))/(1.01325*(((0.02^(1/3))+(0.014^(1/3)))^2)))*(((1/4)+(1/2.01))^(1/2))

Evaluating ... ...

D_AB = 0.00703713624614002

STEP 3: Convert Result to Output's Unit

0.00703713624614002 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

0.00703713624614002 ≈ 0.007037 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 » Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

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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)

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Formula

What is Fuller-Schettler-Giddings equation for Gas Phase Diffusivity ?

One of the most common equations used in predicting binary gas diffusivities owing to its theoretical foundations, is the Hirschfelder-Bird-Spotz equation. A more recent empirical correlation was developed by Fuller. Fuller used 308 experimental values of the diffusivities of various gases to determine the coefficients of the equation.
The empirical equation was given by Fuller, Schettler, Giddings in 1966 is simple to use but reasonably accurate prediction for binary gas phase diffusivity up to moderate pressures.

How to Calculate Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity?

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity calculator uses 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)) to calculate the Diffusion Coefficient (DAB), The Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity formula is defined as the empirical equation given by Fuller, Schettler, Giddings in 1966 to calculate gas phase diffusivity based on atomic diffusion volume. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to calculate Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity using this online calculator? To use this online calculator for Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity, enter Temperature of Gas (T), Total Pressure of Gas (P_T), Total Atomic Diffusion Volume A (Σv_A), Total Atomic Diffusion Volume B (Σv_B), Molecular Weight A (M_A) & Molecular Weight B (M_b) and hit the calculate button. Here is how the Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity calculation can be explained with given input values -> 0.007049 = ((1.0133*(10^(-7))*(298^1.75))/(101325*(((0.02^(1/3))+(0.014^(1/3)))^2)))*(((1/4)+(1/2.01))^(1/2)).

FAQ

What is Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity?

The Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity formula is defined as the empirical equation given by Fuller, Schettler, Giddings in 1966 to calculate gas phase diffusivity based on atomic diffusion volume and is represented as D_AB = ((1.0133*(10^(-7))*(T^1.75))/(P_T*(((Σv_A^(1/3))+(Σv_B^(1/3)))^2)))*(((1/M_A)+(1/M_b))^(1/2)) or 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)). The temperature of Gas is the measure of the hotness or coldness of a gas, Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container, The Total Atomic diffusion volume A is the summation of the atomic diffusion volumes of the atoms and the structural groups in the molecule which are found by regression analysis of experimental data, The Total Atomic diffusion volume B is the summation of the atomic diffusion volumes of the atoms and the structural groups in the molecule which are found by regression analysis of experimental data, Molecular Weight A is the mass of a given molecule a & Molecular Weight B is the mass of a given molecule b.

How to calculate Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity?

The Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity formula is defined as the empirical equation given by Fuller, Schettler, Giddings in 1966 to calculate gas phase diffusivity based on atomic diffusion volume is calculated using 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)). To calculate Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity, you need Temperature of Gas (T), Total Pressure of Gas (P_T), Total Atomic Diffusion Volume A (Σv_A), Total Atomic Diffusion Volume B (Σv_B), Molecular Weight A (M_A) & Molecular Weight B (M_b). With our tool, you need to enter the respective value for Temperature of Gas, Total Pressure of Gas, Total Atomic Diffusion Volume A, Total Atomic Diffusion Volume B, Molecular Weight A & Molecular Weight B 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, Total Pressure of Gas, Total Atomic Diffusion Volume A, Total Atomic Diffusion Volume B, Molecular Weight A & Molecular Weight B. 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) = ([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)
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) = (1.173*(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) = ([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)
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) = (1.173*(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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