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

STEP 0: Pre-Calculation Summary
Formula Used
Width of Peak NP and RT = (4*Retention Time)/(sqrt(Count of Theoretical Plates))
wNPandRT = (4*tr)/(sqrt(NTP))
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
Width of Peak NP and RT - (Measured in Second) - Width of Peak NP and RT is defined as the total distance of the base of the peak.
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.
Count of Theoretical Plates - Count 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.
STEP 1: Convert Input(s) to Base Unit
Retention Time: 13 Second --> 13 Second No Conversion Required
Count of Theoretical Plates: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
wNPandRT = (4*tr)/(sqrt(NTP)) --> (4*13)/(sqrt(8))
Evaluating ... ...
wNPandRT = 18.3847763108502
STEP 3: Convert Result to Output's Unit
18.3847763108502 Second --> No Conversion Required
FINAL ANSWER
18.3847763108502 18.38478 Second <-- Width of Peak NP and RT
(Calculation completed in 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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)

10+ Important Formulae on Retention and Deviation Calculators

Radius of First Column according to Scaling Equation
Go 1st Column Radius = (sqrt(Mass of 1st analyte/Mass of 2nd analyte))*Radius of 2nd column
Standard Deviation given Retention Time and Number of Theoretical Plates
Go Standard Deviation given RT and NP = (Retention Time)/(sqrt(Count of Theoretical Plates))
Mass of Second Analyte according to Scaling Equation
Go Mass of Analyte 2 = ((Radius of 2nd column/Radius of 1st column)^2)*Mass of 1st analyte
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)
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 Volume
Go Average Width of Peaks given RV = (Change in retention volume/Resolution)
Average Width of Peak given Resolution and Change in Retention Time
Go Average Width of Peaks given RT = (Change in Retention Time/Resolution)
Time for Diffusion given Standard Deviation
Go Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient)
Retention Factor
Go Actual Retention Factor = Solute Distance/Solvent Distance

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

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

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

Width of Peak given Number of Theoretical Plates and Retention Time calculator uses Width of Peak NP and RT = (4*Retention Time)/(sqrt(Count of Theoretical Plates)) to calculate the Width of Peak NP and RT, The Width of Peak given Number of Theoretical Plates and Retention Time formula is defined as the ratio of four times the retention time to the square root of the number of theoretical plates. Width of Peak NP and RT is denoted by wNPandRT symbol.

How to calculate Width of Peak given Number of Theoretical Plates and Retention Time using this online calculator? To use this online calculator for Width of Peak given Number of Theoretical Plates and Retention Time, enter Retention Time (tr) & Count of Theoretical Plates (NTP) and hit the calculate button. Here is how the Width of Peak given Number of Theoretical Plates and Retention Time calculation can be explained with given input values -> 15.01111 = (4*13)/(sqrt(8)).

FAQ

What is Width of Peak given Number of Theoretical Plates and Retention Time?
The Width of Peak given Number of Theoretical Plates and Retention Time formula is defined as the ratio of four times the retention time to the square root of the number of theoretical plates and is represented as wNPandRT = (4*tr)/(sqrt(NTP)) or Width of Peak NP and RT = (4*Retention Time)/(sqrt(Count of Theoretical Plates)). 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 & Count 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.
How to calculate Width of Peak given Number of Theoretical Plates and Retention Time?
The Width of Peak given Number of Theoretical Plates and Retention Time formula is defined as the ratio of four times the retention time to the square root of the number of theoretical plates is calculated using Width of Peak NP and RT = (4*Retention Time)/(sqrt(Count of Theoretical Plates)). To calculate Width of Peak given Number of Theoretical Plates and Retention Time, you need Retention Time (tr) & Count of Theoretical Plates (NTP). With our tool, you need to enter the respective value for Retention Time & Count of Theoretical Plates 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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