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Instantaneous Mass Transfer Coefficient by Penetration Theory Formula

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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. Check FAQs

k L(Inst) = \sqrt{\frac{D AB}{π \cdot t}}

k_L(Inst) - Instantaneous Convective Mass Transfer Coefficient?D_AB - Diffusion Coefficient (DAB)?t - Instantaneous Contact Time?π - Archimedes' constant?

Instantaneous Mass Transfer Coefficient by Penetration Theory Example

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

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

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

0.015 = \sqrt{\frac{0.007}{3.1416 \cdot 9.86}}

0.015m/s = \sqrt{\frac{0.007m²/s}{3.1416 \cdot 9.86s}}

0.015 = \sqrt{\frac{0.007}{3.1416 \cdot 9.86}}

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Instantaneous Mass Transfer Coefficient by Penetration Theory Solution

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

FIRST Step Consider the formula

k L(Inst) = \sqrt{\frac{D AB}{π \cdot t}}

Next Step Substitute values of Variables

∴

k L(Inst) = \sqrt{\frac{0.007m²/s}{π \cdot 9.86s}}

Next Step Substitute values of Constants

∴

k L(Inst) = \sqrt{\frac{0.007m²/s}{3.1416 \cdot 9.86s}}

Next Step Prepare to Evaluate

∴

k L(Inst) = \sqrt{\frac{0.007}{3.1416 \cdot 9.86}}

Next Step Evaluate

∴

k L(Inst) = 0.0150326527738966m/s

LAST Step Rounding Answer

∴

k L(Inst) = 0.015m/s

Instantaneous Mass Transfer Coefficient by Penetration Theory Formula Elements

Variables

Constants

Functions

Instantaneous Convective Mass Transfer Coefficient

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.

Symbol: k_L(Inst)

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Instantaneous Convective Mass Transfer Coefficient

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)

Instantaneous Contact Time

Instantaneous Contact Time is the variable used to define the time for contact between liquid and vapour phases.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Instantaneous Contact Time

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 Mass Transfer Coefficient by Film Theory

k L = \frac{D AB}{δ}

Go Average Mass Transfer Coefficient by Penetration Theory

k L (Avg) = 2 \cdot \sqrt{\frac{D AB}{π \cdot t c}}

Go Mass Transfer Coefficient by Surface Renewal Theory

k L = \sqrt{D AB \cdot s}

Go Liquid Phase Mass Transfer Coefficient by Two Film Theory

K x = \frac{1}{(\frac{1}{k y \cdot H}) + (\frac{1}{k x})}

How to Evaluate Instantaneous Mass Transfer Coefficient by Penetration Theory?

Instantaneous Mass Transfer Coefficient by Penetration Theory evaluator uses Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time)) to evaluate 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 k_L(Inst) symbol.

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

FAQs on Instantaneous Mass Transfer Coefficient by Penetration Theory

What is the formula to find Instantaneous Mass Transfer Coefficient by Penetration Theory?

The formula of Instantaneous Mass Transfer Coefficient by Penetration Theory is expressed as Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time)). Here is an example- 0.015033 = sqrt(0.007/(pi*9.86)).

How to calculate Instantaneous Mass Transfer Coefficient by Penetration Theory?

With Diffusion Coefficient (DAB) (D_AB) & Instantaneous Contact Time (t) we can find Instantaneous Mass Transfer Coefficient by Penetration Theory using the formula - Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Instantaneous Mass Transfer Coefficient by Penetration Theory be negative?

No, the Instantaneous Mass Transfer Coefficient by Penetration Theory, measured in Speed cannot be negative.

Which unit is used to measure Instantaneous Mass Transfer Coefficient by Penetration Theory?

Instantaneous 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 Instantaneous Mass Transfer Coefficient by Penetration Theory can be measured.

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Instantaneous Mass Transfer Coefficient by Penetration Theory Formula

Instantaneous Mass Transfer Coefficient by Penetration Theory Example

Instantaneous Mass Transfer Coefficient by Penetration Theory Solution

Instantaneous Mass Transfer Coefficient by Penetration Theory Formula Elements

Other formulas in Mass Transfer Theories category

How to Evaluate Instantaneous Mass Transfer Coefficient by Penetration Theory?

FAQs on Instantaneous Mass Transfer Coefficient by Penetration Theory

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