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Diffusivity by Stefan Tube Method Formula

GoChapman Enskog Equation for Gas Phase Diffusivity Formula

GoDiffusivity by Twin Bulb 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{[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}

D_AB - Diffusion Coefficient (DAB)?T - Temperature of Gas?P_BLM - Log Mean Partial Pressure of B?ρ_L - Density of Liquid?h₁ - Height of Column 1?h₂ - Height of Column 2?P_T - Total Pressure of Gas?M_A - Molecular Weight A?P_A1 - Partial Pressure of Component A in 1?P_A2 - Partial Pressure of Component A in 2?t - Diffusion Time?[R] - Universal gas constant?

Diffusivity by Stefan Tube Method Example

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Here is how the Diffusivity by Stefan Tube Method equation looks like with Values.

Here is how the Diffusivity by Stefan Tube Method equation looks like with Units.

Here is how the Diffusivity by Stefan Tube Method equation looks like.

0.008 = \frac{8.3145 \cdot 298 \cdot 101300 \cdot 850 \cdot (75^{2} - 2^{2})}{2 \cdot 101325 \cdot 4 \cdot (30000 - 11416) \cdot 1000}

0.008m²/s = \frac{8.3145 \cdot 298K \cdot 101300Pa \cdot 850kg/m³ \cdot ({75cm}^{2} - {2cm}^{2})}{2 \cdot 101325Pa \cdot 4kg/mol \cdot (30000Pa - 11416Pa) \cdot 1000s}

0.008 = \frac{8.3145 \cdot 298 \cdot 101300 \cdot 850 \cdot (75^{2} - 2^{2})}{2 \cdot 101325 \cdot 4 \cdot (30000 - 11416) \cdot 1000}

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Diffusivity by Stefan Tube Method Solution

Follow our step by step solution on how to calculate Diffusivity by Stefan Tube Method?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

D AB = \frac{[R] \cdot 298K \cdot 101300Pa \cdot 850kg/m³ \cdot ({75cm}^{2} - {2cm}^{2})}{2 \cdot 101325Pa \cdot 4kg/mol \cdot (30000Pa - 11416Pa) \cdot 1000s}

Next Step Substitute values of Constants

∴

D AB = \frac{8.3145 \cdot 298K \cdot 101300Pa \cdot 850kg/m³ \cdot ({75cm}^{2} - {2cm}^{2})}{2 \cdot 101325Pa \cdot 4kg/mol \cdot (30000Pa - 11416Pa) \cdot 1000s}

Next Step Convert Units

∴

D AB = \frac{8.3145 \cdot 298K \cdot 101300Pa \cdot 850kg/m³ \cdot ({0.75m}^{2} - {0.02m}^{2})}{2 \cdot 101325Pa \cdot 4kg/mol \cdot (30000Pa - 11416Pa) \cdot 1000s}

Next Step Prepare to Evaluate

∴

D AB = \frac{8.3145 \cdot 298 \cdot 101300 \cdot 850 \cdot ({0.75}^{2} - {0.02}^{2})}{2 \cdot 101325 \cdot 4 \cdot (30000 - 11416) \cdot 1000}

Next Step Evaluate

∴

D AB = 0.00796061479302969m²/s

LAST Step Rounding Answer

∴

D AB = 0.008m²/s

Diffusivity by Stefan Tube Method Formula Elements

Variables

Constants

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)

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

Log Mean Partial Pressure of B

The Log Mean Partial Pressure of B is the Partial pressure of component B in terms of the logarithmic mean.

Symbol: P_BLM

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Log Mean Partial Pressure of B

Density of Liquid

The density of liquid is defined as the mass of liquid per unit volume.

Symbol: ρ_L

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density of Liquid

Height of Column 1

Height of column 1 is the length of the column1 measured from bottom to Top.

Symbol: h₁

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Height of Column 1

Height of Column 2

Height of column 2 is the length of the column2 measured from bottom to Top.

Symbol: h₂

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Height of Column 2

Total Pressure of Gas

Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.

Symbol: P_T

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Pressure of Gas

Molecular Weight A

Molecular Weight A is the mass of a given molecule a.

Symbol: M_A

Measurement: Molar MassUnit: kg/mol

Note: Value can be positive or negative.

Formulas to find Molecular Weight A

Partial Pressure of Component A in 1

The Partial Pressure of component A in 1 is the variable which measures the partial pressure of component A in the mixture on the feed side of the diffusing component.

Symbol: P_A1

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Partial Pressure of Component A in 1

Partial Pressure of Component A in 2

The Partial Pressure of component A in 2 is the variable which measures the partial pressure of component A in the mixture on the other side of the diffusing component.

Symbol: P_A2

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Partial Pressure of Component A in 2

Diffusion Time

Diffusion Time represents the total time in which the diffusion was taking place.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Diffusion Time

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

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 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})}

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)

How to Evaluate Diffusivity by Stefan Tube Method?

Diffusivity by Stefan Tube Method evaluator uses 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) to evaluate the Diffusion Coefficient (DAB), The Diffusivity by Stefan Tube Method formula is defined as the Diffusivity of gas phase determination by using Stefan tube experimental procedure. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to evaluate Diffusivity by Stefan Tube Method using this online evaluator? To use this online evaluator for Diffusivity by Stefan Tube Method, enter Temperature of Gas (T), Log Mean Partial Pressure of B (P_BLM), Density of Liquid (ρ_L), Height of Column 1 (h₁), Height of Column 2 (h₂), Total Pressure of Gas (P_T), Molecular Weight A (M_A), Partial Pressure of Component A in 1 (P_A1), Partial Pressure of Component A in 2 (P_A2) & Diffusion Time (t) and hit the calculate button.

FAQs on Diffusivity by Stefan Tube Method

What is the formula to find Diffusivity by Stefan Tube Method?

The formula of Diffusivity by Stefan Tube Method is expressed as 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). Here is an example- 0.000199 = ([R]*298*101300*850*(0.75^2-0.02^2))/(2*101325*4*(30000-11416)*1000).

How to calculate Diffusivity by Stefan Tube Method?

With Temperature of Gas (T), Log Mean Partial Pressure of B (P_BLM), Density of Liquid (ρ_L), Height of Column 1 (h₁), Height of Column 2 (h₂), Total Pressure of Gas (P_T), Molecular Weight A (M_A), Partial Pressure of Component A in 1 (P_A1), Partial Pressure of Component A in 2 (P_A2) & Diffusion Time (t) we can find Diffusivity by Stefan Tube Method using the formula - 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). This formula also uses Universal gas constant .

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)=((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))

Can the Diffusivity by Stefan Tube Method be negative?

No, the Diffusivity by Stefan Tube Method, measured in Diffusivity cannot be negative.

Which unit is used to measure Diffusivity by Stefan Tube Method?

Diffusivity by Stefan Tube Method 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 Diffusivity by Stefan Tube Method can be measured.

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: Value
: Unit

Diffusivity by Stefan Tube Method Formula

​GoChapman Enskog Equation for Gas Phase Diffusivity Formula

​GoDiffusivity by Twin Bulb Method Formula

Diffusivity by Stefan Tube Method Example

Diffusivity by Stefan Tube Method Solution

Diffusivity by Stefan Tube Method Formula Elements

Other Formulas to find Diffusion Coefficient (DAB)

Other formulas in Diffusivity Measurement and Prediction category

How to Evaluate Diffusivity by Stefan Tube Method?

FAQs on Diffusivity by Stefan Tube Method

Variable Name

GoChapman Enskog Equation for Gas Phase Diffusivity Formula

GoDiffusivity by Twin Bulb Method Formula