Half Width of Peak given Number of Theoretical Plates and Retention Time Calculator

✖The Number of Theoretical Plates is defined as used to determine column efficiency based on the calculation in which the larger the theoretical plate number the sharper the peaks.ⓘ Number of Theoretical Plates [N]			+10% -10%
✖The Retention Time of solute is defined as the time taken by the solute to move over the stationary phase and to come out of the column.ⓘ Retention Time [t_r]			+10% -10%

✖The Half of Average Width of Peaks is the addition of the width of the number of peaks divided by twice the total number of peaks.ⓘ Half Width of Peak given Number of Theoretical Plates and Retention Time [w_1/2av]

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Formula

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Half Width of Peak given Number of Theoretical Plates and Retention Time

Formula

`"w"_{"1/2av"} = (sqrt(5.55/"N"))*("t"_{"r"})`

Example

`"9.684782s"=(sqrt(5.55/"10"))*("13s")`

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Half Width of Peak given Number of Theoretical Plates and Retention Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Half of Average Width of Peaks = (sqrt(5.55/Number of Theoretical Plates))*(Retention Time)
w_1/2av = (sqrt(5.55/N))*(t_r)
This formula uses 1 Functions, 3 Variables

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

Half of Average Width of Peaks - (Measured in Second) - The Half of Average Width of Peaks is the addition of the width of the number of peaks divided by twice the total number of peaks.
Number of Theoretical Plates - The Number of Theoretical Plates is defined as used to determine column efficiency based on the calculation in which the larger the theoretical plate number the sharper the peaks.
Retention Time - (Measured in Second) - The Retention Time of solute is defined as the time taken by the solute to move over the stationary phase and to come out of the column.

STEP 1: Convert Input(s) to Base Unit

Number of Theoretical Plates: 10 --> No Conversion Required
Retention Time: 13 Second --> 13 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_1/2av = (sqrt(5.55/N))*(t_r) --> (sqrt(5.55/10))*(13)

Evaluating ... ...

w_1/2av = 9.68478187673837

STEP 3: Convert Result to Output's Unit

9.68478187673837 Second --> No Conversion Required

FINAL ANSWER

9.68478187673837 ≈ 9.684782 Second <-- Half of Average Width of Peaks

(Calculation completed in 00.020 seconds)

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Created by Prashant Singh

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

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< 10+ Retention Time Calculators

Retention Time given Number of Theoretical Plate and Half Width of Peak

Go Retention Time given NP and HP = (Half of Average Width of Peaks)*(sqrt(Number of Theoretical Plates/5.55))

Half Width of Peak given Number of Theoretical Plates and Retention Time

Go Half of Average Width of Peaks = (sqrt(5.55/Number of Theoretical Plates))*(Retention Time)

Retention Time given Number of Theoretical Plates and Standard Deviation

Go Retention Time given NP and SD = (Standard Deviation)*(sqrt(Number of Theoretical Plates))

Retention Time given Number of Theoretical Plates and Width of Peak

Go Retention Time given NP and WP = (Width of Peak/4)*(sqrt(Number of Theoretical Plates))

Width of Peak given Number of Theoretical Plates and Retention Time

Go Width of Peak NP and RT = (4*Retention Time)/(sqrt(Count of Theoretical Plates))

Retention Time given Capacity Factor

Go Retention Time given CF = Unretained Solute Travel Time*(Capacity Factor for Analytical+1)

Retention Time given Adjusted Retention Time

Go Retention Time given ART = (Adjusted Retention Time+Unretained Solute Travel Time)

Adjusted Retention Time given Retention Time

Go Adjusted Retention Time given RT = (Retention Time-Unretained Solute Travel Time)

Average Width of Peak given Resolution and Change in Retention Time

Go Average Width of Peaks given RT = (Change in Retention Time/Resolution)

Retention Time given Retention Volume

Go Retention Time given RV = (Retention Volume/Flow Rate of Mobile Phase)

Half Width of Peak given Number of Theoretical Plates and Retention Time Formula

Half of Average Width of Peaks = (sqrt(5.55/Number of Theoretical Plates))*(Retention Time)
w_1/2av = (sqrt(5.55/N))*(t_r)

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.

What are the types of Chromatography?

1) Adsorption chromatography
2) Ion-exchange chromatography
3) Partition chromatography
4) Molecular Size exclusion chromatography
5) Affinity chromatography

How to Calculate Half Width of Peak given Number of Theoretical Plates and Retention Time?

Half Width of Peak given Number of Theoretical Plates and Retention Time calculator uses Half of Average Width of Peaks = (sqrt(5.55/Number of Theoretical Plates))*(Retention Time) to calculate the Half of Average Width of Peaks, The Half Width of Peak given Number of Theoretical Plates and Retention Time formula is defined as the relation of the half-width of the peak with the number of theoretical plates and retention time. Half of Average Width of Peaks is denoted by w_1/2av symbol.

How to calculate Half Width of Peak given Number of Theoretical Plates and Retention Time using this online calculator? To use this online calculator for Half Width of Peak given Number of Theoretical Plates and Retention Time, enter Number of Theoretical Plates (N) & Retention Time (t_r) and hit the calculate button. Here is how the Half Width of Peak given Number of Theoretical Plates and Retention Time calculation can be explained with given input values -> 9.684782 = (sqrt(5.55/10))*(13).

FAQ

What is Half Width of Peak given Number of Theoretical Plates and Retention Time?

The Half Width of Peak given Number of Theoretical Plates and Retention Time formula is defined as the relation of the half-width of the peak with the number of theoretical plates and retention time and is represented as w_1/2av = (sqrt(5.55/N))*(t_r) or Half of Average Width of Peaks = (sqrt(5.55/Number of Theoretical Plates))*(Retention Time). The Number of Theoretical Plates is defined as used to determine column efficiency based on the calculation in which the larger the theoretical plate number the sharper the peaks & The Retention Time of solute is defined as the time taken by the solute to move over the stationary phase and to come out of the column.

How to calculate Half Width of Peak given Number of Theoretical Plates and Retention Time?

The Half Width of Peak given Number of Theoretical Plates and Retention Time formula is defined as the relation of the half-width of the peak with the number of theoretical plates and retention time is calculated using Half of Average Width of Peaks = (sqrt(5.55/Number of Theoretical Plates))*(Retention Time). To calculate Half Width of Peak given Number of Theoretical Plates and Retention Time, you need Number of Theoretical Plates (N) & Retention Time (t_r). With our tool, you need to enter the respective value for Number of Theoretical Plates & Retention 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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