Diffusivity by Twin Bulb Method Calculator

✖The length of tube is the distance between the two bulbs of twin bulb method form entry of the bulbs.ⓘ Length of Tube [L]			+10% -10%
✖The Inner Cross Section Area is the cross section of the inside of connecting tube in the twin bulb apparatus.ⓘ Inner Cross Section Area [a]			+10% -10%
✖Diffusion Time represents the total time in which the diffusion was taking place.ⓘ Diffusion Time [t]			+10% -10%
✖Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure of Gas [P_T]			+10% -10%
✖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.ⓘ Partial Pressure of Component A in 1 [P_A1]			+10% -10%
✖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.ⓘ Partial Pressure of Component A in 2 [P_A2]			+10% -10%
✖Volume of gas 1 is the total volume of the gas 1.ⓘ Volume of Gas 1 [V₁]			+10% -10%
✖Volume of gas 2 is the total volume of the gas 2.ⓘ Volume of Gas 2 [V₂]			+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.ⓘ Diffusivity by Twin Bulb Method [D_AB]

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Formula

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Diffusivity by Twin Bulb Method

Formula

`"D"_{"AB"} = (("L"/("a"*"t"))*(ln("P"_{"T"}/("P"_{"A1"}-"P"_{"A2"}))))/((1/"V"_{"1"})+(1/"V"_{"2"}))`

Example

`"0.001972m²/s"=(("0.0035m"/("0.1m²"*"1000s"))*(ln("101325Pa"/("30000Pa"-"11416Pa"))))/((1/"50m³")+(1/"99m³"))`

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Diffusivity by Twin Bulb Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_AB = ((L/(a*t))*(ln(P_T/(P_A1-P_A2))))/((1/V₁)+(1/V₂))
This formula uses 1 Functions, 9 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

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.
Length of Tube - (Measured in Meter) - The length of tube is the distance between the two bulbs of twin bulb method form entry of the bulbs.
Inner Cross Section Area - (Measured in Square Meter) - The Inner Cross Section Area is the cross section of the inside of connecting tube in the twin bulb apparatus.
Diffusion Time - (Measured in Second) - Diffusion Time represents the total time in which the diffusion was taking place.
Total Pressure of Gas - (Measured in Pascal) - Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.
Partial Pressure of Component A in 1 - (Measured in Pascal) - 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.
Partial Pressure of Component A in 2 - (Measured in Pascal) - 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.
Volume of Gas 1 - (Measured in Cubic Meter) - Volume of gas 1 is the total volume of the gas 1.
Volume of Gas 2 - (Measured in Cubic Meter) - Volume of gas 2 is the total volume of the gas 2.

STEP 1: Convert Input(s) to Base Unit

Length of Tube: 0.0035 Meter --> 0.0035 Meter No Conversion Required
Inner Cross Section Area: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
Diffusion Time: 1000 Second --> 1000 Second No Conversion Required
Total Pressure of Gas: 101325 Pascal --> 101325 Pascal No Conversion Required
Partial Pressure of Component A in 1: 30000 Pascal --> 30000 Pascal No Conversion Required
Partial Pressure of Component A in 2: 11416 Pascal --> 11416 Pascal No Conversion Required
Volume of Gas 1: 50 Cubic Meter --> 50 Cubic Meter No Conversion Required
Volume of Gas 2: 99 Cubic Meter --> 99 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_AB = ((L/(a*t))*(ln(P_T/(P_A1-P_A2))))/((1/V₁)+(1/V₂)) --> ((0.0035/(0.1*1000))*(ln(101325/(30000-11416))))/((1/50)+(1/99))

Evaluating ... ...

D_AB = 0.00197206425955212

STEP 3: Convert Result to Output's Unit

0.00197206425955212 Square Meter Per Second --> No Conversion Required

FINAL ANSWER

0.00197206425955212 ≈ 0.001972 Square Meter Per Second <-- Diffusion Coefficient (DAB)

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Diffusion » Diffusivity: Measurement & Prediction » Diffusivity by Twin Bulb Method

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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

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

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

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

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)

Diffusivity by Twin Bulb Method Formula

What is Twin Bulb Method?

Two large bulbs are connected by a narrow tube. In the beginning two bulbs are evacuated and all the valves are kept closed. Then a valve is opened and bulb 1 is filled with pure A at a pressure P. After that the other valve is opened and bulb 2 is filled with pure B at the same pressure P. Then the valve on connecting tube is opened and the diffusion is allowed to take place. Now, diffusion coefficient could be calculated by measuring partial pressure variation with time.

How to Calculate Diffusivity by Twin Bulb Method?

Diffusivity by Twin Bulb Method calculator uses 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)) to calculate the Diffusion Coefficient (DAB), The Diffusivity by Twin Bulb Method formula is defined as diffusion coefficient calculation by the using of the experimental data of twin bulb's apparatus. Diffusion Coefficient (DAB) is denoted by D_AB symbol.

How to calculate Diffusivity by Twin Bulb Method using this online calculator? To use this online calculator for Diffusivity by Twin Bulb Method, enter Length of Tube (L), Inner Cross Section Area (a), Diffusion Time (t), Total Pressure of Gas (P_T), Partial Pressure of Component A in 1 (P_A1), Partial Pressure of Component A in 2 (P_A2), Volume of Gas 1 (V₁) & Volume of Gas 2 (V₂) and hit the calculate button. Here is how the Diffusivity by Twin Bulb Method calculation can be explained with given input values -> 0.00144 = ((0.0035/(0.1*1000))*(ln(101325/(30000-11416))))/((1/50)+(1/99)).

FAQ

What is Diffusivity by Twin Bulb Method?

The Diffusivity by Twin Bulb Method formula is defined as diffusion coefficient calculation by the using of the experimental data of twin bulb's apparatus and is represented as D_AB = ((L/(a*t))*(ln(P_T/(P_A1-P_A2))))/((1/V₁)+(1/V₂)) or 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)). The length of tube is the distance between the two bulbs of twin bulb method form entry of the bulbs, The Inner Cross Section Area is the cross section of the inside of connecting tube in the twin bulb apparatus, Diffusion Time represents the total time in which the diffusion was taking place, Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container, 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, 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, Volume of gas 1 is the total volume of the gas 1 & Volume of gas 2 is the total volume of the gas 2.

How to calculate Diffusivity by Twin Bulb Method?

The Diffusivity by Twin Bulb Method formula is defined as diffusion coefficient calculation by the using of the experimental data of twin bulb's apparatus is calculated using 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)). To calculate Diffusivity by Twin Bulb Method, you need Length of Tube (L), Inner Cross Section Area (a), Diffusion Time (t), Total Pressure of Gas (P_T), Partial Pressure of Component A in 1 (P_A1), Partial Pressure of Component A in 2 (P_A2), Volume of Gas 1 (V₁) & Volume of Gas 2 (V₂). With our tool, you need to enter the respective value for Length of Tube, Inner Cross Section Area, Diffusion Time, Total Pressure of Gas, Partial Pressure of Component A in 1, Partial Pressure of Component A in 2, Volume of Gas 1 & Volume of Gas 2 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 Length of Tube, Inner Cross Section Area, Diffusion Time, Total Pressure of Gas, Partial Pressure of Component A in 1, Partial Pressure of Component A in 2, Volume of Gas 1 & Volume of Gas 2. We can use 8 other way(s) to calculate the same, which is/are as follows -

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) = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature of Gas)/(Dynamic Viscosity of Liquid*((Molar Volume of Liquid/1000)^0.6))
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) = ((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) = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature of Gas)/(Dynamic Viscosity of Liquid*((Molar Volume of Liquid/1000)^0.6))

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