Wilke Chang Equation for Liquid Phase Diffusivity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
DAB = (1.173*(10^(-16))*((φB*Mb)^(1/2))*T)/(μ*((Vm/1000)^0.6))
This formula uses 6 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.
Association Factor - The Association Factor is the measure for association between the solute and the solvent. For non-associated solvents it is equal to 1.
Molecular Weight B - (Measured in Kilogram Per Mole) - Molecular Weight B is the mass of a given molecule b.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of the hotness or coldness of a gas.
Dynamic Viscosity of Liquid - (Measured in Pascal Second) - The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.
Molar Volume of Liquid - (Measured in Cubic Meter per Mole) - Molar Volume of Liquid is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.
STEP 1: Convert Input(s) to Base Unit
Association Factor: 1 --> No Conversion Required
Molecular Weight B: 2.01 Kilogram Per Mole --> 2.01 Kilogram Per Mole No Conversion Required
Temperature of Gas: 298 Kelvin --> 298 Kelvin No Conversion Required
Dynamic Viscosity of Liquid: 0.00135 Pascal Second --> 0.00135 Pascal Second No Conversion Required
Molar Volume of Liquid: 1E-08 Cubic Meter per Kilomole --> 1E-11 Cubic Meter per Mole (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DAB = (1.173*(10^(-16))*((φB*Mb)^(1/2))*T)/(μ*((Vm/1000)^0.6)) --> (1.173*(10^(-16))*((1*2.01)^(1/2))*298)/(0.00135*((1E-11/1000)^0.6))
Evaluating ... ...
DAB = 0.00922101092149182
STEP 3: Convert Result to Output's Unit
0.00922101092149182 Square Meter Per Second --> No Conversion Required
FINAL ANSWER
0.00922101092149182 0.009221 Square Meter Per Second <-- Diffusion Coefficient (DAB)
(Calculation completed in 00.004 seconds)

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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
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)
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
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))
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
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))
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
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)
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)

Wilke Chang Equation for Liquid Phase Diffusivity Formula

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))
DAB = (1.173*(10^(-16))*((φB*Mb)^(1/2))*T)/(μ*((Vm/1000)^0.6))

What is Wilke Chang Equation for Liquid Phase Diffusivity ?

Wilke and Chang have proposed this correlation to estimate the diffusivity of nonelectrolytes in an infinitely dilute solution.

In this equation, DAB [m2/s] is the diffusivity of A in very dilute solution in solvent B, MB is molecular weight of solvent B (the solvent), T [K] is absolute temperature, µ [kg/m.s] is viscosity of solvent, vA is solute molar volume at its normal boiling point m3/kmol, and ΦB is the association factor of solvent B.

How to Calculate Wilke Chang Equation for Liquid Phase Diffusivity?

Wilke Chang Equation for Liquid Phase Diffusivity calculator uses 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)) to calculate the Diffusion Coefficient (DAB), The Wilke Chang Equation for Liquid Phase Diffusivity formula is defined as an empirical correlation proposed by Wilke Chang in 1955 for estimating liquid phase diffusivity. Diffusion Coefficient (DAB) is denoted by DAB symbol.

How to calculate Wilke Chang Equation for Liquid Phase Diffusivity using this online calculator? To use this online calculator for Wilke Chang Equation for Liquid Phase Diffusivity, enter Association Factor B), Molecular Weight B (Mb), Temperature of Gas (T), Dynamic Viscosity of Liquid (μ) & Molar Volume of Liquid (Vm) and hit the calculate button. Here is how the Wilke Chang Equation for Liquid Phase Diffusivity calculation can be explained with given input values -> 0.009198 = (1.173*(10^(-16))*((1*2.01)^(1/2))*298)/(0.00135*((1E-11/1000)^0.6)).

FAQ

What is Wilke Chang Equation for Liquid Phase Diffusivity?
The Wilke Chang Equation for Liquid Phase Diffusivity formula is defined as an empirical correlation proposed by Wilke Chang in 1955 for estimating liquid phase diffusivity and is represented as DAB = (1.173*(10^(-16))*((φB*Mb)^(1/2))*T)/(μ*((Vm/1000)^0.6)) or 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)). The Association Factor is the measure for association between the solute and the solvent. For non-associated solvents it is equal to 1, Molecular Weight B is the mass of a given molecule b, The temperature of Gas is the measure of the hotness or coldness of a gas, The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied & Molar Volume of Liquid is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.
How to calculate Wilke Chang Equation for Liquid Phase Diffusivity?
The Wilke Chang Equation for Liquid Phase Diffusivity formula is defined as an empirical correlation proposed by Wilke Chang in 1955 for estimating liquid phase diffusivity is calculated using 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)). To calculate Wilke Chang Equation for Liquid Phase Diffusivity, you need Association Factor B), Molecular Weight B (Mb), Temperature of Gas (T), Dynamic Viscosity of Liquid (μ) & Molar Volume of Liquid (Vm). With our tool, you need to enter the respective value for Association Factor, Molecular Weight B, Temperature of Gas, Dynamic Viscosity of Liquid & Molar Volume of Liquid 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 Association Factor, Molecular Weight B, Temperature of Gas, Dynamic Viscosity of Liquid & Molar Volume of Liquid. 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) = ((1.0133*(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) = (1.858*(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) = ((1.0133*(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))
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