Longitudinal Diffusion given Van Deemter Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longitudinal diffusion = (Plate Height-Eddy diffusion-(Resistance to mass transfer*Average mobile phase velocity))*Average mobile phase velocity
B = (H-A-(C*u))*u
This formula uses 5 Variables
Variables Used
Longitudinal diffusion - (Measured in Square Meter per Second) - The Longitudinal diffusion is the contribution to the band broadening from the diffusion within the band.
Plate Height - (Measured in Meter) - The Plate Height is defined as the height of many narrow, discreet, contagious horizontal layers.
Eddy diffusion - (Measured in Meter) - The Eddy diffusion is the contribution from the non-equal paths of the column.
Resistance to mass transfer - (Measured in Second) - The Resistance to mass transfer is the contribution to the band broadening from the non-mass transfer.
Average mobile phase velocity - (Measured in Meter per Second) - The Average mobile phase velocity is the speed at which the mobile phase travel through the column.
STEP 1: Convert Input(s) to Base Unit
Plate Height: 220 Meter --> 220 Meter No Conversion Required
Eddy diffusion: 50 Meter --> 50 Meter No Conversion Required
Resistance to mass transfer: 30 Second --> 30 Second No Conversion Required
Average mobile phase velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = (H-A-(C*u))*u --> (220-50-(30*5))*5
Evaluating ... ...
B = 100
STEP 3: Convert Result to Output's Unit
100 Square Meter per Second --> No Conversion Required
FINAL ANSWER
100 Square Meter per Second <-- Longitudinal diffusion
(Calculation completed in 00.004 seconds)

Credits

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Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Van Deemter Equation Calculators

Resistance to Mass Transfer given Van Deemter Equation
​ LaTeX ​ Go Resistance to mass transfer = (Plate Height-(Longitudinal diffusion/Average mobile phase velocity)-(Eddy diffusion))/Average mobile phase velocity
Theoretical Plate Height given Van Deemter Equation
​ LaTeX ​ Go Plate Height = Eddy diffusion+(Longitudinal diffusion/Average mobile phase velocity)+(Resistance to mass transfer*Average mobile phase velocity)
Longitudinal Diffusion given Van Deemter Equation
​ LaTeX ​ Go Longitudinal diffusion = (Plate Height-Eddy diffusion-(Resistance to mass transfer*Average mobile phase velocity))*Average mobile phase velocity
Eddy Diffusion given Van Deemter Equation
​ LaTeX ​ Go Eddy diffusion = Plate Height-(Longitudinal diffusion/Average mobile phase velocity)-(Resistance to mass transfer*Average mobile phase velocity)

Longitudinal Diffusion given Van Deemter Equation Formula

​LaTeX ​Go
Longitudinal diffusion = (Plate Height-Eddy diffusion-(Resistance to mass transfer*Average mobile phase velocity))*Average mobile phase velocity
B = (H-A-(C*u))*u

What is Van Deemter Equation?

The mechanism of band broadening and how it can be linked to HETP was discussed in a 1956 paper entitled ‘Longitudinal diffusion and resistance to mass transfer as causes of nonideality in chromatography. As a result of this work, it was found that the relationship between a column’s efficiency and the mechanism behind band broadening could be described by an equation now known as the Van Deemter equation.

What is Chromatography?

A separation process based on the various partitioning coefficients of different solutes between the two phases.
Involving the interaction of solute(s) and two phases
Mobile phase: A gas or liquid that moves through the column.
Stationary phase: A solid or liquid that remains in place.

How to Calculate Longitudinal Diffusion given Van Deemter Equation?

Longitudinal Diffusion given Van Deemter Equation calculator uses Longitudinal diffusion = (Plate Height-Eddy diffusion-(Resistance to mass transfer*Average mobile phase velocity))*Average mobile phase velocity to calculate the Longitudinal diffusion, The Longitudinal Diffusion given Van Deemter Equation formula is defined as the relation of carrier gas velocity with the maximum efficiency of the column and a maximum number of the theoretical plate. Longitudinal diffusion is denoted by B symbol.

How to calculate Longitudinal Diffusion given Van Deemter Equation using this online calculator? To use this online calculator for Longitudinal Diffusion given Van Deemter Equation, enter Plate Height (H), Eddy diffusion (A), Resistance to mass transfer (C) & Average mobile phase velocity (u) and hit the calculate button. Here is how the Longitudinal Diffusion given Van Deemter Equation calculation can be explained with given input values -> 100 = (220-50-(30*5))*5.

FAQ

What is Longitudinal Diffusion given Van Deemter Equation?
The Longitudinal Diffusion given Van Deemter Equation formula is defined as the relation of carrier gas velocity with the maximum efficiency of the column and a maximum number of the theoretical plate and is represented as B = (H-A-(C*u))*u or Longitudinal diffusion = (Plate Height-Eddy diffusion-(Resistance to mass transfer*Average mobile phase velocity))*Average mobile phase velocity. The Plate Height is defined as the height of many narrow, discreet, contagious horizontal layers, The Eddy diffusion is the contribution from the non-equal paths of the column, The Resistance to mass transfer is the contribution to the band broadening from the non-mass transfer & The Average mobile phase velocity is the speed at which the mobile phase travel through the column.
How to calculate Longitudinal Diffusion given Van Deemter Equation?
The Longitudinal Diffusion given Van Deemter Equation formula is defined as the relation of carrier gas velocity with the maximum efficiency of the column and a maximum number of the theoretical plate is calculated using Longitudinal diffusion = (Plate Height-Eddy diffusion-(Resistance to mass transfer*Average mobile phase velocity))*Average mobile phase velocity. To calculate Longitudinal Diffusion given Van Deemter Equation, you need Plate Height (H), Eddy diffusion (A), Resistance to mass transfer (C) & Average mobile phase velocity (u). With our tool, you need to enter the respective value for Plate Height, Eddy diffusion, Resistance to mass transfer & Average mobile phase velocity 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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