Instantaneous Mass Transfer Coefficient by Penetration Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time))
kL(Inst) = sqrt(DAB/(pi*t))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
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., sqrt(Number)
Variables Used
Instantaneous Convective Mass Transfer Coefficient - (Measured in Meter per Second) - The Instantaneous 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.
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.
Instantaneous Contact Time - (Measured in Second) - Instantaneous Contact Time is the variable used to define the time for contact between liquid and vapour phases.
STEP 1: Convert Input(s) to Base Unit
Diffusion Coefficient (DAB): 0.007 Square Meter Per Second --> 0.007 Square Meter Per Second No Conversion Required
Instantaneous Contact Time: 9.86 Second --> 9.86 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kL(Inst) = sqrt(DAB/(pi*t)) --> sqrt(0.007/(pi*9.86))
Evaluating ... ...
kL(Inst) = 0.0150326527738966
STEP 3: Convert Result to Output's Unit
0.0150326527738966 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0150326527738966 0.015033 Meter per Second <-- Instantaneous Convective Mass Transfer Coefficient
(Calculation completed in 00.020 seconds)

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Instantaneous Mass Transfer Coefficient by Penetration Theory Formula

​LaTeX ​Go
Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time))
kL(Inst) = sqrt(DAB/(pi*t))

What is Penetration Theory?

The “Penetration Theory” or “Higbie’s model” assumes that each liquid element at the gas-liquid interface is exposed to the gas for a short time. The basic assumptions of the theory are: (1) Mass transfer from the gas into a liquid element occurs under unsteady-state conditions once they are in contact; (2) Each of the liquid elements stays in contact with the gas for same time period; and (3) Equilibrium exists at the gas-liquid interface. This theory was considered an improvement from the two-film theory since mass transfer occurs under unsteady-state conditions in many industrial processes. The Penetration Theory expresses the liquid-side mass transfer coefficient in terms of the contact time and the molecular diffusivity of the gas in the liquid.

How to Calculate Instantaneous Mass Transfer Coefficient by Penetration Theory?

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

How to calculate Instantaneous Mass Transfer Coefficient by Penetration Theory using this online calculator? To use this online calculator for Instantaneous Mass Transfer Coefficient by Penetration Theory, enter Diffusion Coefficient (DAB) (DAB) & Instantaneous Contact Time (t) and hit the calculate button. Here is how the Instantaneous Mass Transfer Coefficient by Penetration Theory calculation can be explained with given input values -> 0.015033 = sqrt(0.007/(pi*9.86)).

FAQ

What is Instantaneous Mass Transfer Coefficient by Penetration Theory?
The Instantaneous Mass Transfer Coefficient by Penetration Theory formula is used to calculate the instantaneous mass transfer coefficient for the liquid phase in contact with the other phase based on penetration theory and is represented as kL(Inst) = sqrt(DAB/(pi*t)) or Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time)). 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 & Instantaneous Contact Time is the variable used to define the time for contact between liquid and vapour phases.
How to calculate Instantaneous Mass Transfer Coefficient by Penetration Theory?
The Instantaneous Mass Transfer Coefficient by Penetration Theory formula is used to calculate the instantaneous mass transfer coefficient for the liquid phase in contact with the other phase based on penetration theory is calculated using Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time)). To calculate Instantaneous Mass Transfer Coefficient by Penetration Theory, you need Diffusion Coefficient (DAB) (DAB) & Instantaneous Contact Time (t). With our tool, you need to enter the respective value for Diffusion Coefficient (DAB) & Instantaneous Contact Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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