## Diffusivity by Film Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness
DAB = kL*δ
This formula uses 3 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.
Convective Mass Transfer Coefficient - (Measured in Meter per Second) - Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient.
Film Thickness - (Measured in Meter) - The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.
STEP 1: Convert Input(s) to Base Unit
Convective Mass Transfer Coefficient: 0.0095 Meter per Second --> 0.0095 Meter per Second No Conversion Required
Film Thickness: 0.005 Meter --> 0.005 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DAB = kL*δ --> 0.0095*0.005
Evaluating ... ...
DAB = 4.75E-05
STEP 3: Convert Result to Output's Unit
4.75E-05 Square Meter Per Second --> No Conversion Required
4.75E-05 4.8E-5 Square Meter Per Second <-- Diffusion Coefficient (DAB)
(Calculation completed in 00.004 seconds)
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## Credits

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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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## < 20 Mass Transfer Theories Calculators

Liquid Phase Mass Transfer Coefficient by Two Film Theory
Overall Liquid Phase Mass Transfer Coefficient = 1/((1/(Gas Phase Mass Transfer Coefficient*Henry's Constant))+(1/Liquid Phase Mass Transfer Coefficient))
Instantaneous Mass Transfer Coefficient by Penetration Theory
Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time))
Gas Phase Mass Transfer Coefficient by Two Film Theory
Overall Gas Phase Mass Transfer Coefficient = 1/((1/Gas Phase Mass Transfer Coefficient)+(Henry's Constant/Liquid Phase Mass Transfer Coefficient))
Average Mass Transfer Coefficient by Penetration Theory
Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time))
Instantaneous Contact Time by Penetration Theory
Instantaneous Contact Time = (Diffusion Coefficient (DAB))/((Instantaneous Convective Mass Transfer Coefficient^2)*pi)
Diffusivity by Instanataneous Contact Time in Penetration Theory
Diffusion Coefficient (DAB) = (Instantaneous Contact Time*(Instantaneous Convective Mass Transfer Coefficient^2)*pi)
Fractional Resistance Offered by Liquid Phase
Fractional Resistance Offered by Liquid Phase = (1/Liquid Phase Mass Transfer Coefficient)/(1/Overall Liquid Phase Mass Transfer Coefficient)
Average Contact Time by Penetration Theory
Average Contact Time = (4*Diffusion Coefficient (DAB))/((Average Convective Mass Transfer Coefficient^2)*pi)
Diffusivity by Average Contact Time in Penetration Theory
Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4
Overall Liquid Phase Mass Transfer Coefficient using Fractional Resistance by Liquid Phase
Overall Liquid Phase Mass Transfer Coefficient = Liquid Phase Mass Transfer Coefficient*Fractional Resistance Offered by Liquid Phase
Liquid Phase Mass Transfer Coefficient using Fractional Resistance by Liquid Phase
Liquid Phase Mass Transfer Coefficient = Overall Liquid Phase Mass Transfer Coefficient/Fractional Resistance Offered by Liquid Phase
Fractional Resistance Offered by Gas Phase
Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient)
Overall Gas Phase Mass Transfer Coefficient using Fractional Resistance by Gas Phase
Overall Gas Phase Mass Transfer Coefficient = Gas Phase Mass Transfer Coefficient*Fractional Resistance Offered by Gas Phase
Gas Phase Mass Transfer Coefficient using Fractional Resistance by Gas Phase
Gas Phase Mass Transfer Coefficient = Overall Gas Phase Mass Transfer Coefficient/Fractional Resistance Offered by Gas Phase
Mass Transfer Coefficient by Surface Renewal Theory
Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)
Surface Renewal Rate by Surface Renewal Theory
Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB)
Diffusivity by Surface Renewal Theory
Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate
Mass Transfer Coefficient by Film Theory
Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness
Film Thickness by Film Theory
Film Thickness = Diffusion Coefficient (DAB)/Convective Mass Transfer Coefficient
Diffusivity by Film Theory
Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness

## Diffusivity by Film Theory Formula

Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness
DAB = kL*δ

## What is Film Theory in Mass Transfer ?

Film theory in Mass transfer states that the resistance in mass transfer between fluid phases in turbulent flow is present in a thin layer adjacent to the interface called film. As per Film Theory (Whitman 1932), the mass transfer coefficient is equal to the ratio of diffusivity to film thickness.

## How to Calculate Diffusivity by Film Theory?

Diffusivity by Film Theory calculator uses Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness to calculate the Diffusion Coefficient (DAB), The Diffusivity by Film Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on film theory when film thickness and mass transfer coefficient are known. Diffusion Coefficient (DAB) is denoted by DAB symbol.

How to calculate Diffusivity by Film Theory using this online calculator? To use this online calculator for Diffusivity by Film Theory, enter Convective Mass Transfer Coefficient (kL) & Film Thickness (δ) and hit the calculate button. Here is how the Diffusivity by Film Theory calculation can be explained with given input values -> 4.8E-5 = 0.0095*0.005.

### FAQ

What is Diffusivity by Film Theory?
The Diffusivity by Film Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on film theory when film thickness and mass transfer coefficient are known and is represented as DAB = kL or Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness. Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient & The Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.
How to calculate Diffusivity by Film Theory?
The Diffusivity by Film Theory formula is used to calculate the diffusivity for the liquid phase in contact with the other phase based on film theory when film thickness and mass transfer coefficient are known is calculated using Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness. To calculate Diffusivity by Film Theory, you need Convective Mass Transfer Coefficient (kL) & Film Thickness (δ). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient & Film Thickness 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 Convective Mass Transfer Coefficient & Film Thickness. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4
• Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate
• Diffusion Coefficient (DAB) = (Instantaneous Contact Time*(Instantaneous Convective Mass Transfer Coefficient^2)*pi)
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