Standard Deviation given Length of Column and Number of Theoretical Plates Calculator

✖The Length of Column is the height of the chromatographic column in which the separation of particles takes place.ⓘ Length of Column [L]			+10% -10%
✖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%

✖Standard Deviation given L and N is a measure of how spread out numbers are.ⓘ Standard Deviation given Length of Column and Number of Theoretical Plates [σ_LandN]

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Formula

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Standard Deviation given Length of Column and Number of Theoretical Plates

Formula

`"σ"_{"LandN"} = "L"/(sqrt("N"))`

Example

`"3.130655"="9.9m"/(sqrt("10"))`

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Standard Deviation given Length of Column and Number of Theoretical Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Deviation given L and N = Length of Column/(sqrt(Number of Theoretical Plates))
σ_LandN = L/(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

Standard Deviation given L and N - Standard Deviation given L and N is a measure of how spread out numbers are.
Length of Column - (Measured in Meter) - The Length of Column is the height of the chromatographic column in which the separation of particles takes place.
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

Length of Column: 9.9 Meter --> 9.9 Meter No Conversion Required
Number of Theoretical Plates: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_LandN = L/(sqrt(N)) --> 9.9/(sqrt(10))

Evaluating ... ...

σ_LandN = 3.1306548835667

STEP 3: Convert Result to Output's Unit

3.1306548835667 --> No Conversion Required

FINAL ANSWER

3.1306548835667 ≈ 3.130655 <-- Standard Deviation given L and N

(Calculation completed in 00.005 seconds)

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

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