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Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diffusion Coefficient = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((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))
DAB = ((1.0133*(10^(-7))*(T^1.75))/(P*(((ΣvA^(1/3))+(ΣvB^(1/3)))^2)))*(((1/Ma)+(1/Mb))^(1/2))
This formula uses 6 Variables
Variables Used
Temperature - Temperature is the degree or intensity of heat present in a substance or object. (Measured in Kelvin)
Pressure - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. (Measured in Pascal)
Total Atomic Diffusion Volume A - 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. (Measured in Cubic Meter)
Total Atomic Diffusion Volume B - 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. (Measured in Cubic Meter)
Molecular Weight A - Molecular Weight A is the mass of a given molecule a. (Measured in Gram)
Molecular Weight B - Molecular Weight B is the mass of a given molecule b. (Measured in Gram)
STEP 1: Convert Input(s) to Base Unit
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Total Atomic Diffusion Volume A: 0.5 Cubic Meter --> 0.5 Cubic Meter No Conversion Required
Total Atomic Diffusion Volume B: 0.5 Cubic Meter --> 0.5 Cubic Meter No Conversion Required
Molecular Weight A: 4 Gram --> 0.004 Kilogram (Check conversion here)
Molecular Weight B: 2 Gram --> 0.002 Kilogram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DAB = ((1.0133*(10^(-7))*(T^1.75))/(P*(((ΣvA^(1/3))+(ΣvB^(1/3)))^2)))*(((1/Ma)+(1/Mb))^(1/2)) --> ((1.0133*(10^(-7))*(85^1.75))/(800*(((0.5^(1/3))+(0.5^(1/3)))^2)))*(((1/0.004)+(1/0.002))^(1/2))
Evaluating ... ...
DAB = 3.27558202936382E-06
STEP 3: Convert Result to Output's Unit
3.27558202936382E-06 Square Meter Per Second --> No Conversion Required
FINAL ANSWER
3.27558202936382E-06 Square Meter Per Second <-- Diffusion Coefficient
(Calculation completed in 00.016 seconds)

4 Diffusivity: Measurement & Prediction Calculators

Diffusivity by Twin Bulb Method
Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2)) Go
Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity
Diffusion Coefficient = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((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)) Go
Chapman Enskog Equation for Gas Phase Diffusivity
Diffusion Coefficient = (1.858*(10^(-7))*(Temperature^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Pressure*Characteristic Length Parameter^2*Collision Integral) Go
Wilke Chang Equation for Liquid Phase Diffusivity
Diffusion Coefficient = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature)/(Dynamic Viscosity*(Molar Volume^0.6)) Go

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Formula

Diffusion Coefficient = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((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))
DAB = ((1.0133*(10^(-7))*(T^1.75))/(P*(((ΣvA^(1/3))+(ΣvB^(1/3)))^2)))*(((1/Ma)+(1/Mb))^(1/2))

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 = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((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, 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 is denoted by DAB 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 (T), Pressure (P), Total Atomic Diffusion Volume A (ΣvA), Total Atomic Diffusion Volume B (ΣvB), Molecular Weight A (Ma) & Molecular Weight B (Mb) 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 -> 3.276E-6 = ((1.0133*(10^(-7))*(85^1.75))/(800*(((0.5^(1/3))+(0.5^(1/3)))^2)))*(((1/0.004)+(1/0.002))^(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 DAB = ((1.0133*(10^(-7))*(T^1.75))/(P*(((ΣvA^(1/3))+(ΣvB^(1/3)))^2)))*(((1/Ma)+(1/Mb))^(1/2)) or Diffusion Coefficient = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((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)). Temperature is the degree or intensity of heat present in a substance or object, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((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 (T), Pressure (P), Total Atomic Diffusion Volume A (ΣvA), Total Atomic Diffusion Volume B (ΣvB), Molecular Weight A (Ma) & Molecular Weight B (Mb). With our tool, you need to enter the respective value for Temperature, Pressure, 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?
In this formula, Diffusion Coefficient uses Temperature, Pressure, Total Atomic Diffusion Volume A, Total Atomic Diffusion Volume B, Molecular Weight A & Molecular Weight B. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(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 = ([R]*Temperature*Log Mean Partial Pressure*Density of Gas*(Height of Column 1^2-Height of Column 2^2))/(2*Pressure*Molecular Weight A*(Partial Pressure of component A in 1-Partial Pressure of component A in 2)*Diffusion Time)
  • Diffusion Coefficient = (1.858*(10^(-7))*(Temperature^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Pressure*Characteristic Length Parameter^2*Collision Integral)
  • Diffusion Coefficient = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature)/(Dynamic Viscosity*(Molar Volume^0.6))
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