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Column Length given Number of Theoretical Plates and Standard Deviation Formula

GoColumn Length given Number of Theoretical Plates Formula

GoColumn Length given Standard Deviation and Plate Height Formula

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Chromatographic Column Length is the height of the chromatographic column in which the separation of particles takes place. Check FAQs

L c = σ \cdot (\sqrt{N})

L_c - Chromatographic Column Length?σ - Standard Deviation?N - Number of Theoretical Plates?

Column Length given Number of Theoretical Plates and Standard Deviation Example

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Here is how the Column Length given Number of Theoretical Plates and Standard Deviation equation looks like with Values.

Here is how the Column Length given Number of Theoretical Plates and Standard Deviation equation looks like with Units.

Here is how the Column Length given Number of Theoretical Plates and Standard Deviation equation looks like.

129.1158 = 40.83 \cdot (\sqrt{10})

129.1158m = 40.83 \cdot (\sqrt{10})

129.1158 = 40.83 \cdot (\sqrt{10})

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Column Length given Number of Theoretical Plates and Standard Deviation Solution

Follow our step by step solution on how to calculate Column Length given Number of Theoretical Plates and Standard Deviation?

FIRST Step Consider the formula

L c = σ \cdot (\sqrt{N})

Next Step Substitute values of Variables

∴

L c = 40.83 \cdot (\sqrt{10})

Next Step Prepare to Evaluate

∴

L c = 40.83 \cdot (\sqrt{10})

Next Step Evaluate

∴

L c = 129.115796864675m

LAST Step Rounding Answer

∴

L c = 129.1158m

Column Length given Number of Theoretical Plates and Standard Deviation Formula Elements

Variables

Functions

Chromatographic Column Length

Chromatographic Column Length is the height of the chromatographic column in which the separation of particles takes place.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Chromatographic Column Length

Standard Deviation

The Standard Deviation is a measure of how spread out numbers are.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation

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.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Theoretical Plates

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.

Syntax: sqrt(Number)

Other Formulas to find Chromatographic Column Length

Go Column Length given Number of Theoretical Plates

L c = (N \cdot H)

Go Column Length given Standard Deviation and Plate Height

L c = \frac{{(σ)}^{2}}{H}

Other formulas in Length of Column category

Go Distribution Ratio

D actual = (\frac{C o}{C aq})

Go Distribution Ratio of Solute A given Separation Factor

D RA = (β \cdot D B)

Go Distribution Ratio of Solute B given Separation Factor

D RB = (\frac{D A}{β})

Go Separation Factor of two solutes A and B

β sp = (\frac{D A}{D B})

How to Evaluate Column Length given Number of Theoretical Plates and Standard Deviation?

Column Length given Number of Theoretical Plates and Standard Deviation evaluator uses Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates)) to evaluate 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 L_c symbol.

How to evaluate Column Length given Number of Theoretical Plates and Standard Deviation using this online evaluator? To use this online evaluator for Column Length given Number of Theoretical Plates and Standard Deviation, enter Standard Deviation (σ) & Number of Theoretical Plates (N) and hit the calculate button.

FAQs on Column Length given Number of Theoretical Plates and Standard Deviation

What is the formula to find Column Length given Number of Theoretical Plates and Standard Deviation?

The formula of Column Length given Number of Theoretical Plates and Standard Deviation is expressed as Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates)). Here is an example- 129.1158 = 40.83*(sqrt(10)).

How to calculate Column Length given Number of Theoretical Plates and Standard Deviation?

With Standard Deviation (σ) & Number of Theoretical Plates (N) we can find Column Length given Number of Theoretical Plates and Standard Deviation using the formula - Chromatographic Column Length = Standard Deviation*(sqrt(Number of Theoretical Plates)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Chromatographic Column Length?

Here are the different ways to Calculate Chromatographic Column Length-

Chromatographic Column Length=(Number of Theoretical Plates*Plate Height)
Chromatographic Column Length=((Standard Deviation)^2)/Plate Height

Can the Column Length given Number of Theoretical Plates and Standard Deviation be negative?

Yes, the Column Length given Number of Theoretical Plates and Standard Deviation, measured in Length can be negative.

Which unit is used to measure Column Length given Number of Theoretical Plates and Standard Deviation?

Column Length given Number of Theoretical Plates and Standard Deviation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Column Length given Number of Theoretical Plates and Standard Deviation can be measured.

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