Wilke Chang Equation for Liquid Phase Diffusivity Calculator

✖The Association Factor is the measure for association between the solute and the solvent. For non-associated solvents it is equal to 1.ⓘ Association Factor [φ_B]			+10% -10%
✖Molecular Weight B is the mass of a given molecule b.ⓘ Molecular Weight B [M_b]			+10% -10%
✖The temperature of Gas is the measure of the hotness or coldness of a gas.ⓘ Temperature of Gas [T]			+10% -10%
✖The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity of Liquid [μ]			+10% -10%
✖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.ⓘ Molar Volume of Liquid [V_m]			+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.ⓘ Wilke Chang Equation for Liquid Phase Diffusivity [D_AB]

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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))
D_AB = (1.173*(10^(-16))*((φ_B*M_b)^(1/2))*T)/(μ*((V_m/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

D_AB = (1.173*(10^(-16))*((φ_B*M_b)^(1/2))*T)/(μ*((V_m/1000)^0.6)) --> (1.173*(10^(-16))*((1*2.01)^(1/2))*298)/(0.00135*((1E-11/1000)^0.6))

Evaluating ... ...

D_AB = 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 00.020 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Diffusion » Diffusivity Measurement and Prediction » Wilke Chang Equation for Liquid Phase Diffusivity

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< Diffusivity Measurement and Prediction Calculators

Diffusivity by Stefan Tube Method

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

< Important Formulas in Diffusion Calculators

Diffusivity by Stefan Tube Method

Diffusivity by Twin Bulb Method

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

Chapman Enskog Equation for Gas Phase Diffusivity

Wilke Chang Equation for Liquid Phase Diffusivity Formula

LaTeX Go

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 D_AB 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 (φ_B), Molecular Weight B (M_b), Temperature of Gas (T), Dynamic Viscosity of Liquid (μ) & Molar Volume of Liquid (V_m) 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 D_AB = (1.173*(10^(-16))*((φ_B*M_b)^(1/2))*T)/(μ*((V_m/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 (φ_B), Molecular Weight B (M_b), Temperature of Gas (T), Dynamic Viscosity of Liquid (μ) & Molar Volume of Liquid (V_m). 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 3 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)

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