Column Length given Number of Theoretical Plates and Standard Deviation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates))
Lc = ฯƒ*(sqrt(N))
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
Chromatographic Column Length - (Measured in Meter) - Chromatographic Column Length is the height of the chromatographic column in which the separation of particles takes place.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
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.
STEP 1: Convert Input(s) to Base Unit
Standard Deviation: 40.83 --> No Conversion Required
Number of Theoretical Plates: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lc = ฯƒ*(sqrt(N)) --> 40.83*(sqrt(10))
Evaluating ... ...
Lc = 129.115796864675
STEP 3: Convert Result to Output's Unit
129.115796864675 Meter --> No Conversion Required
FINAL ANSWER
129.115796864675 โ‰ˆ 129.1158 Meter <-- Chromatographic Column Length
(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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National Institute of Information Technology (NIIT), Neemrana
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8 Length of Column Calculators

Column Length given Number of Theoretical Plates and Width of Peak
Go Chromatographic Column Length given NP and WP = (Width of Peak N and L/4)*(sqrt(Number of Theoretical Plates))
Standard Deviation given Length of Column and Number of Theoretical Plates
Go Standard Deviation given L and N = Length of Column/(sqrt(Number of Theoretical Plates))
Column Length given Number of Theoretical Plates and Standard Deviation
Go Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates))
Width of Peak given Number of Theoretical Plates and Length of Column
Go Width of Peak N and L = (4*Length of Column)/(sqrt(Number of Theoretical Plates))
Standard Deviation given Plate Height and Length of Column
Go Standard Deviation given H and L = sqrt(Plate Height*Length of Column)
Column Length given Number of Theoretical Plates
Go Chromatographic Column Length = (Number of Theoretical Plates*Plate Height)
Column Length given Standard Deviation and Plate Height
Go Chromatographic Column Length = ((Standard Deviation)^2)/Plate Height
Plate Height given Standard Deviation and Length of Column
Go Plate Height given SD = ((Standard Deviation)^2)/Length of Column

15 Distribution Ratio and Length of Column Calculators

Column Length given Number of Theoretical Plates and Width of Peak
Go Chromatographic Column Length given NP and WP = (Width of Peak N and L/4)*(sqrt(Number of Theoretical Plates))
Standard Deviation given Length of Column and Number of Theoretical Plates
Go Standard Deviation given L and N = Length of Column/(sqrt(Number of Theoretical Plates))
Column Length given Number of Theoretical Plates and Standard Deviation
Go Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates))
Width of Peak given Number of Theoretical Plates and Length of Column
Go Width of Peak N and L = (4*Length of Column)/(sqrt(Number of Theoretical Plates))
Standard Deviation given Plate Height and Length of Column
Go Standard Deviation given H and L = sqrt(Plate Height*Length of Column)
Separation Factor of two solutes A and B
Go Separation Factor A and B = (Distribution Ratio of Solute A/Distribution Ratio of Solute B)
Distribution Ratio
Go Actual Distribution Ratio = (Concentration in Organic Phase/Concentration in Aqueous Phase)
Change in Retention Time given Half of Average Width of Peaks
Go Change in Retention Time given H = (Resolution*Half of Average Width of Peaks)/0.589
Change in Retention Volume given Resolution and Average Width of Peak
Go Change in retention volume given Rand W = (Resolution*Average Width of Peaks)
Change in Retention Time given Resolution and Average Width of Peak
Go Change in Retention Time given R and W = (Resolution*Average Width of Peaks)
Column Length given Number of Theoretical Plates
Go Chromatographic Column Length = (Number of Theoretical Plates*Plate Height)
Distribution Ratio of Solute A given Separation Factor
Go Distribution Ratio A = (Separation Factor*Distribution Ratio of Solute B)
Distribution Ratio of Solute B given Separation Factor
Go Distribution Ratio B = (Distribution Ratio of Solute A/Separation Factor)
Column Length given Standard Deviation and Plate Height
Go Chromatographic Column Length = ((Standard Deviation)^2)/Plate Height
Plate Height given Standard Deviation and Length of Column
Go Plate Height given SD = ((Standard Deviation)^2)/Length of Column

Column Length given Number of Theoretical Plates and Standard Deviation Formula

Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates))
Lc = ฯƒ*(sqrt(N))

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 Column Length given Number of Theoretical Plates and Standard Deviation?

Column Length given Number of Theoretical Plates and Standard Deviation calculator uses Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates)) to calculate the Chromatographic Column Length, The Column length given number of theoretical plates and standard deviation formula is defined as the product of the standard deviation of diffusive brand spreading to the square root of the number of theoretical plates. Chromatographic Column Length is denoted by Lc symbol.

How to calculate Column Length given Number of Theoretical Plates and Standard Deviation using this online calculator? To use this online calculator for Column Length given Number of Theoretical Plates and Standard Deviation, enter Standard Deviation (ฯƒ) & Number of Theoretical Plates (N) and hit the calculate button. Here is how the Column Length given Number of Theoretical Plates and Standard Deviation calculation can be explained with given input values -> 129.1158 = 40.83*(sqrt(10)).

FAQ

What is Column Length given Number of Theoretical Plates and Standard Deviation?
The Column length given number of theoretical plates and standard deviation formula is defined as the product of the standard deviation of diffusive brand spreading to the square root of the number of theoretical plates and is represented as Lc = ฯƒ*(sqrt(N)) or Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates)). The Standard Deviation is a measure of how spread out numbers are & 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.
How to calculate Column Length given Number of Theoretical Plates and Standard Deviation?
The Column length given number of theoretical plates and standard deviation formula is defined as the product of the standard deviation of diffusive brand spreading to the square root of the number of theoretical plates is calculated using Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates)). To calculate Column Length given Number of Theoretical Plates and Standard Deviation, you need Standard Deviation (ฯƒ) & Number of Theoretical Plates (N). With our tool, you need to enter the respective value for Standard Deviation & Number of Theoretical Plates and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Chromatographic Column Length?
In this formula, Chromatographic Column Length uses Standard Deviation & Number of Theoretical Plates. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Chromatographic Column Length = ((Standard Deviation)^2)/Plate Height
  • Chromatographic Column Length = (Number of Theoretical Plates*Plate Height)
  • Chromatographic Column Length = (Number of Theoretical Plates*Plate Height)
  • Chromatographic Column Length = ((Standard Deviation)^2)/Plate Height
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