Average Mass Transfer Coefficient by Penetration Theory Formula

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The Average 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. Check FAQs
kL (Avg)=2DABπtc
kL (Avg) - Average Convective Mass Transfer Coefficient?DAB - Diffusion Coefficient (DAB)?tc - Average Contact Time?π - Archimedes' constant?

Average Mass Transfer Coefficient by Penetration Theory Example

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Here is how the Average Mass Transfer Coefficient by Penetration Theory equation looks like with Values.

Here is how the Average Mass Transfer Coefficient by Penetration Theory equation looks like with Units.

Here is how the Average Mass Transfer Coefficient by Penetration Theory equation looks like.

0.0285Edit=20.007Edit3.141611Edit
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Average Mass Transfer Coefficient by Penetration Theory Solution

Follow our step by step solution on how to calculate Average Mass Transfer Coefficient by Penetration Theory?

FIRST Step Consider the formula
kL (Avg)=2DABπtc
Next Step Substitute values of Variables
kL (Avg)=20.007m²/sπ11s
Next Step Substitute values of Constants
kL (Avg)=20.007m²/s3.141611s
Next Step Prepare to Evaluate
kL (Avg)=20.0073.141611
Next Step Evaluate
kL (Avg)=0.0284647737853237m/s
LAST Step Rounding Answer
kL (Avg)=0.0285m/s

Average Mass Transfer Coefficient by Penetration Theory Formula Elements

Variables
Constants
Functions
Average Convective Mass Transfer Coefficient
The Average 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.
Symbol: kL (Avg)
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
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: DAB
Measurement: DiffusivityUnit: m²/s
Note: Value should be greater than 0.
Average Contact Time
Average Contact Time is the variable used to define the time for contacting between liquid and vapor phases.
Symbol: tc
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other formulas in Mass Transfer Theories category

​Go Average Sherwood Number of Combined Laminar and Turbulent Flow
Nsh=((0.037(Re0.8))-871)(Sc0.333)
​Go Average Sherwood Number of Flat Plate Turbulent Flow
Nsh=0.037(Re0.8)
​Go Average Sherwood Number of Internal Turbulent Flow
Nsh=0.023(Re0.83)(Sc0.44)
​Go Convective Mass Transfer Coefficient
kL=maρa1-ρa2

How to Evaluate Average Mass Transfer Coefficient by Penetration Theory?

Average Mass Transfer Coefficient by Penetration Theory evaluator uses Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time)) to evaluate the Average Convective Mass Transfer Coefficient, The Average Mass Transfer Coefficient by Penetration Theory formula is used to calculate the average mass transfer coefficient for the liquid phase in contact with the other phase based on penetration theory. Average Convective Mass Transfer Coefficient is denoted by kL (Avg) symbol.

How to evaluate Average Mass Transfer Coefficient by Penetration Theory using this online evaluator? To use this online evaluator for Average Mass Transfer Coefficient by Penetration Theory, enter Diffusion Coefficient (DAB) (DAB) & Average Contact Time (tc) and hit the calculate button.

FAQs on Average Mass Transfer Coefficient by Penetration Theory

What is the formula to find Average Mass Transfer Coefficient by Penetration Theory?
The formula of Average Mass Transfer Coefficient by Penetration Theory is expressed as Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time)). Here is an example- 0.028465 = 2*sqrt(0.007/(pi*11)).
How to calculate Average Mass Transfer Coefficient by Penetration Theory?
With Diffusion Coefficient (DAB) (DAB) & Average Contact Time (tc) we can find Average Mass Transfer Coefficient by Penetration Theory using the formula - Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
Can the Average Mass Transfer Coefficient by Penetration Theory be negative?
No, the Average Mass Transfer Coefficient by Penetration Theory, measured in Speed cannot be negative.
Which unit is used to measure Average Mass Transfer Coefficient by Penetration Theory?
Average Mass Transfer Coefficient by Penetration Theory is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Average Mass Transfer Coefficient by Penetration Theory can be measured.
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