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Wilke Chang Equation for Liquid Phase Diffusivity Formula

GoChapman Enskog Equation for Gas Phase Diffusivity Formula

GoDiffusivity by Stefan Tube Method Formula

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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. Check FAQs

D AB = \frac{1.173 \cdot (10^{- 16}) \cdot ({(φ B \cdot M b)}^{\frac{1}{2}}) \cdot T}{μ \cdot ({(\frac{V m}{1000})}^{0.6})}

D_AB - Diffusion Coefficient (DAB)?φ_B - Association Factor?M_b - Molecular Weight B?T - Temperature of Gas?μ - Dynamic Viscosity of Liquid?V_m - Molar Volume of Liquid?

Wilke Chang Equation for Liquid Phase Diffusivity Example

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Here is how the Wilke Chang Equation for Liquid Phase Diffusivity equation looks like with Values.

Here is how the Wilke Chang Equation for Liquid Phase Diffusivity equation looks like with Units.

Here is how the Wilke Chang Equation for Liquid Phase Diffusivity equation looks like.

0.0092 = \frac{1.173 \cdot (10^{- 16}) \cdot ({(1 \cdot 2.01)}^{\frac{1}{2}}) \cdot 298}{0.0014 \cdot ({(\frac{1E-8}{1000})}^{0.6})}

0.0092m²/s = \frac{1.173 \cdot (10^{- 16}) \cdot ({(1 \cdot 2.01kg/mol)}^{\frac{1}{2}}) \cdot 298K}{0.0014Pa*s \cdot ({(\frac{1E-8m³/kmol}{1000})}^{0.6})}

0.0092 = \frac{1.173 \cdot (10^{- 16}) \cdot ({(1 \cdot 2.01)}^{\frac{1}{2}}) \cdot 298}{0.0014 \cdot ({(\frac{1E-8}{1000})}^{0.6})}

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Wilke Chang Equation for Liquid Phase Diffusivity Solution

Follow our step by step solution on how to calculate Wilke Chang Equation for Liquid Phase Diffusivity?

FIRST Step Consider the formula

D AB = \frac{1.173 \cdot (10^{- 16}) \cdot ({(φ B \cdot M b)}^{\frac{1}{2}}) \cdot T}{μ \cdot ({(\frac{V m}{1000})}^{0.6})}

Next Step Substitute values of Variables

∴

D AB = \frac{1.173 \cdot (10^{- 16}) \cdot ({(1 \cdot 2.01kg/mol)}^{\frac{1}{2}}) \cdot 298K}{0.0014Pa*s \cdot ({(\frac{1E-8m³/kmol}{1000})}^{0.6})}

Next Step Convert Units

∴

D AB = \frac{1.173 \cdot (10^{- 16}) \cdot ({(1 \cdot 2.01kg/mol)}^{\frac{1}{2}}) \cdot 298K}{0.0014Pa*s \cdot ({(\frac{1E-11m³/mol}{1000})}^{0.6})}

Next Step Prepare to Evaluate

∴

D AB = \frac{1.173 \cdot (10^{- 16}) \cdot ({(1 \cdot 2.01)}^{\frac{1}{2}}) \cdot 298}{0.0014 \cdot ({(\frac{1E-11}{1000})}^{0.6})}

Next Step Evaluate

∴

D AB = 0.00922101092149182m²/s

LAST Step Rounding Answer

∴

D AB = 0.0092m²/s

Wilke Chang Equation for Liquid Phase Diffusivity Formula Elements

Variables

Diffusion Coefficient (DAB)

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.

Symbol: D_AB

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient (DAB)

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.

Symbol: φ_B

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Association Factor

Molecular Weight B

Molecular Weight B is the mass of a given molecule b.

Symbol: M_b

Measurement: Molar MassUnit: kg/mol

Note: Value can be positive or negative.

Formulas to find Molecular Weight B

Temperature of Gas

The temperature of Gas is the measure of the hotness or coldness of a gas.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Dynamic Viscosity of Liquid

The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity of Liquid

Molar Volume of Liquid

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.

Symbol: V_m

Measurement: Molar VolumeUnit: m³/kmol

Note: Value should be greater than 0.

Formulas to find Molar Volume of Liquid

Other Formulas to find Diffusion Coefficient (DAB)

Go Chapman Enskog Equation for Gas Phase Diffusivity

D AB = \frac{1.858 \cdot (10^{- 7}) \cdot (T^{\frac{3}{2}}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})}{P T \cdot {σ AB}^{2} \cdot Ω D}

Go Diffusivity by Stefan Tube Method

D AB = \frac{[R] \cdot T \cdot P BLM \cdot ρ L \cdot ({h 1}^{2} - {h 2}^{2})}{2 \cdot P T \cdot M A \cdot (P A1 - P A2) \cdot t}

Go Diffusivity by Twin Bulb Method

D AB = \frac{(\frac{L}{a \cdot t}) \cdot (\ln (\frac{P T}{P A1 - P A2}))}{(\frac{1}{V 1}) + (\frac{1}{V 2})}

Go Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot (T^{1.75})}{P T \cdot ({(({Σv A}^{\frac{1}{3}}) + ({Σv B}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})

Other formulas in Diffusivity Measurement and Prediction category

Go Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Concentration of A

N a = (\frac{D AB}{δ}) \cdot (C A1 - C A2)

Go Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A

N a = (\frac{D \cdot P t}{[R] \cdot T \cdot δ}) \cdot (y a1 - y a2)

Go Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Partial Pressure of A

N a = (\frac{D}{[R] \cdot T \cdot δ}) \cdot (P a1 - P a2)

Go Mass Diffusing Rate through Hollow Cylinder with Solid Boundary

m r = \frac{2 \cdot π \cdot D ab \cdot l \cdot (ρ a1 - ρ a2)}{\ln (\frac{r 2}{r 1})}

How to Evaluate Wilke Chang Equation for Liquid Phase Diffusivity?

Wilke Chang Equation for Liquid Phase Diffusivity evaluator 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 evaluate 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 evaluate Wilke Chang Equation for Liquid Phase Diffusivity using this online evaluator? To use this online evaluator 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.

FAQs on Wilke Chang Equation for Liquid Phase Diffusivity

What is the formula to find Wilke Chang Equation for Liquid Phase Diffusivity?

The formula of Wilke Chang Equation for Liquid Phase Diffusivity is expressed as 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)). Here is an example- 0.009198 = (1.173*(10^(-16))*((1*2.01)^(1/2))*298)/(0.00135*((1E-11/1000)^0.6)).

How to calculate Wilke Chang Equation for Liquid Phase Diffusivity?

With Association Factor (φ_B), Molecular Weight B (M_b), Temperature of Gas (T), Dynamic Viscosity of Liquid (μ) & Molar Volume of Liquid (V_m) we can find Wilke Chang Equation for Liquid Phase Diffusivity using the 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)).

What are the other ways to Calculate Diffusion Coefficient (DAB)?

Here are the different ways to Calculate Diffusion Coefficient (DAB)-

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))

Can the Wilke Chang Equation for Liquid Phase Diffusivity be negative?

No, the Wilke Chang Equation for Liquid Phase Diffusivity, measured in Diffusivity cannot be negative.

Which unit is used to measure Wilke Chang Equation for Liquid Phase Diffusivity?

Wilke Chang Equation for Liquid Phase Diffusivity is usually measured using the Square Meter Per Second[m²/s] for Diffusivity. Square Centimeter Per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Wilke Chang Equation for Liquid Phase Diffusivity can be measured.

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: Unit

Wilke Chang Equation for Liquid Phase Diffusivity Formula

​GoChapman Enskog Equation for Gas Phase Diffusivity Formula

​GoDiffusivity by Stefan Tube Method Formula

Wilke Chang Equation for Liquid Phase Diffusivity Example

Wilke Chang Equation for Liquid Phase Diffusivity Solution

Wilke Chang Equation for Liquid Phase Diffusivity Formula Elements

Other Formulas to find Diffusion Coefficient (DAB)

Other formulas in Diffusivity Measurement and Prediction category

How to Evaluate Wilke Chang Equation for Liquid Phase Diffusivity?

FAQs on Wilke Chang Equation for Liquid Phase Diffusivity

Variable Name

GoChapman Enskog Equation for Gas Phase Diffusivity Formula

GoDiffusivity by Stefan Tube Method Formula