Theoretical Plate Height given Van Deemter Equation Calculator

✖The Eddy diffusion is the contribution from the non-equal paths of the column.ⓘ Eddy diffusion [A]			+10% -10%
✖The Longitudinal diffusion is the contribution to the band broadening from the diffusion within the band.ⓘ Longitudinal diffusion [B]			+10% -10%
✖The Average mobile phase velocity is the speed at which the mobile phase travel through the column.ⓘ Average mobile phase velocity [u]			+10% -10%
✖The Resistance to mass transfer is the contribution to the band broadening from the non-mass transfer.ⓘ Resistance to mass transfer [C]			+10% -10%

✖The Plate Height is defined as the height of many narrow, discreet, contagious horizontal layers.ⓘ Theoretical Plate Height given Van Deemter Equation [H]

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Formula

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Theoretical Plate Height given Van Deemter Equation

Formula

`"H" = "A"+("B"/"u")+("C"*"u")`

Example

`"204m"="50m"+("20m²/s"/"5m/s")+("30s"*"5m/s")`

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Theoretical Plate Height given Van Deemter Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Plate Height = Eddy diffusion+(Longitudinal diffusion/Average mobile phase velocity)+(Resistance to mass transfer*Average mobile phase velocity)
H = A+(B/u)+(C*u)
This formula uses 5 Variables

Variables Used

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.
Longitudinal diffusion - (Measured in Square Meter per Second) - The Longitudinal diffusion is the contribution to the band broadening from the diffusion within the band.
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.
Resistance to mass transfer - (Measured in Second) - The Resistance to mass transfer is the contribution to the band broadening from the non-mass transfer.

STEP 1: Convert Input(s) to Base Unit

Eddy diffusion: 50 Meter --> 50 Meter No Conversion Required
Longitudinal diffusion: 20 Square Meter per Second --> 20 Square Meter per Second No Conversion Required
Average mobile phase velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Resistance to mass transfer: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = A+(B/u)+(C*u) --> 50+(20/5)+(30*5)

Evaluating ... ...

H = 204

STEP 3: Convert Result to Output's Unit

204 Meter --> No Conversion Required

FINAL ANSWER

204 Meter <-- Plate Height

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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< 5 Van Deemter Equation Calculators

Resistance to Mass Transfer given Van Deemter Equation

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

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

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

Go Eddy diffusion = Plate Height-(Longitudinal diffusion/Average mobile phase velocity)-(Resistance to mass transfer*Average mobile phase velocity)

Nernst Distribution Law Coefficient

Go Distribution coefficient = (Concentration of Solute in Solvent 1/Concentration of solute in solvent 2)

Theoretical Plate Height given Van Deemter Equation Formula

Plate Height = Eddy diffusion+(Longitudinal diffusion/Average mobile phase velocity)+(Resistance to mass transfer*Average mobile phase velocity)
H = A+(B/u)+(C*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 Theoretical Plate Height given Van Deemter Equation?

Theoretical Plate Height given Van Deemter Equation calculator uses Plate Height = Eddy diffusion+(Longitudinal diffusion/Average mobile phase velocity)+(Resistance to mass transfer*Average mobile phase velocity) to calculate the Plate Height, The Theoretical Plate Height 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. Plate Height is denoted by H symbol.

How to calculate Theoretical Plate Height given Van Deemter Equation using this online calculator? To use this online calculator for Theoretical Plate Height given Van Deemter Equation, enter Eddy diffusion (A), Longitudinal diffusion (B), Average mobile phase velocity (u) & Resistance to mass transfer (C) and hit the calculate button. Here is how the Theoretical Plate Height given Van Deemter Equation calculation can be explained with given input values -> 204 = 50+(20/5)+(30*5).

FAQ

What is Theoretical Plate Height given Van Deemter Equation?

The Theoretical Plate Height 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 H = A+(B/u)+(C*u) or Plate Height = Eddy diffusion+(Longitudinal diffusion/Average mobile phase velocity)+(Resistance to mass transfer*Average mobile phase velocity). The Eddy diffusion is the contribution from the non-equal paths of the column, The Longitudinal diffusion is the contribution to the band broadening from the diffusion within the band, The Average mobile phase velocity is the speed at which the mobile phase travel through the column & The Resistance to mass transfer is the contribution to the band broadening from the non-mass transfer.

How to calculate Theoretical Plate Height given Van Deemter Equation?

The Theoretical Plate Height 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 Plate Height = Eddy diffusion+(Longitudinal diffusion/Average mobile phase velocity)+(Resistance to mass transfer*Average mobile phase velocity). To calculate Theoretical Plate Height given Van Deemter Equation, you need Eddy diffusion (A), Longitudinal diffusion (B), Average mobile phase velocity (u) & Resistance to mass transfer (C). With our tool, you need to enter the respective value for Eddy diffusion, Longitudinal diffusion, Average mobile phase velocity & Resistance to mass transfer 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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