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Chapman Enskog Equation for Gas Phase Diffusivity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
DAB = (1.858*(10^(-7))*(T^(3/2))*(((1/Ma)+(1/Mb))^(1/2)))/(P*σAB^2*ΩD)
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)
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)
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)
Characteristic Length Parameter - Characteristic Length Parameter of the binary mixture is the average of the geometric and arithmetic average of the collision diameter of the molecules of the two gases. (Measured in Angstrom)
Collision Integral- The Collision Integral is a function of k*T/εAB, where k is the Boltzmann's constant and εAB is a characteristic binary parameter of the Lennard Jones Potential.
STEP 1: Convert Input(s) to Base Unit
Temperature: 85 Kelvin --> 85 Kelvin 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)
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Characteristic Length Parameter: 5000 Angstrom --> 5E-07 Meter (Check conversion here)
Collision Integral: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DAB = (1.858*(10^(-7))*(T^(3/2))*(((1/Ma)+(1/Mb))^(1/2)))/(P*σAB^2*ΩD) --> (1.858*(10^(-7))*(85^(3/2))*(((1/0.004)+(1/0.002))^(1/2)))/(800*5E-07^2*100)
Evaluating ... ...
DAB = 199376.85186444
STEP 3: Convert Result to Output's Unit
199376.85186444 Square Meter Per Second --> No Conversion Required
FINAL ANSWER
199376.85186444 Square Meter Per Second <-- Diffusion Coefficient
(Calculation completed in 00.031 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

Chapman Enskog Equation for Gas Phase Diffusivity Formula

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)
DAB = (1.858*(10^(-7))*(T^(3/2))*(((1/Ma)+(1/Mb))^(1/2)))/(P*σAB^2*ΩD)

What is Chapman Enskog Equation ?

The Chapman Enskog Equation is a useful and reasonably accurate theoretical equation based on the kinetic theory of gases, suggested independently by Chapman and Enskog. The Diffusivity DAB strongly depends on the binary interaction parameters of the A-B pair. Chapman and Enskog used the Lennard Jones Potential function to calculate the interacton parameters.

How to Calculate Chapman Enskog Equation for Gas Phase Diffusivity?

Chapman Enskog Equation for Gas Phase Diffusivity calculator uses 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) to calculate the Diffusion Coefficient, The Chapman Enskog Equation for Gas Phase Diffusivity formula is defined as the predictive equation suggested by Chapman and Enskog for predicting Gas Phase Diffusion. Diffusion Coefficient is denoted by DAB symbol.

How to calculate Chapman Enskog Equation for Gas Phase Diffusivity using this online calculator? To use this online calculator for Chapman Enskog Equation for Gas Phase Diffusivity, enter Temperature (T), Molecular Weight A (Ma), Molecular Weight B (Mb), Pressure (P), Characteristic Length Parameter AB) & Collision Integral D) and hit the calculate button. Here is how the Chapman Enskog Equation for Gas Phase Diffusivity calculation can be explained with given input values -> 199376.9 = (1.858*(10^(-7))*(85^(3/2))*(((1/0.004)+(1/0.002))^(1/2)))/(800*5E-07^2*100).

FAQ

What is Chapman Enskog Equation for Gas Phase Diffusivity?
The Chapman Enskog Equation for Gas Phase Diffusivity formula is defined as the predictive equation suggested by Chapman and Enskog for predicting Gas Phase Diffusion and is represented as DAB = (1.858*(10^(-7))*(T^(3/2))*(((1/Ma)+(1/Mb))^(1/2)))/(P*σAB^2*ΩD) or 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). Temperature is the degree or intensity of heat present in a substance or object, Molecular Weight A is the mass of a given molecule a, Molecular Weight B is the mass of a given molecule b, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Characteristic Length Parameter of the binary mixture is the average of the geometric and arithmetic average of the collision diameter of the molecules of the two gases & The Collision Integral is a function of k*T/εAB, where k is the Boltzmann's constant and εAB is a characteristic binary parameter of the Lennard Jones Potential.
How to calculate Chapman Enskog Equation for Gas Phase Diffusivity?
The Chapman Enskog Equation for Gas Phase Diffusivity formula is defined as the predictive equation suggested by Chapman and Enskog for predicting Gas Phase Diffusion is calculated using 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). To calculate Chapman Enskog Equation for Gas Phase Diffusivity, you need Temperature (T), Molecular Weight A (Ma), Molecular Weight B (Mb), Pressure (P), Characteristic Length Parameter AB) & Collision Integral D). With our tool, you need to enter the respective value for Temperature, Molecular Weight A, Molecular Weight B, Pressure, Characteristic Length Parameter & Collision Integral 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, Molecular Weight A, Molecular Weight B, Pressure, Characteristic Length Parameter & Collision Integral. 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 = ((1.0133*(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))
  • Diffusion Coefficient = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature)/(Dynamic Viscosity*(Molar Volume^0.6))
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