Time for Diffusion given Standard Deviation Calculator

✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]			+10% -10%
✖Diffusion coefficient is the proportionality factor D in Fick's law .ⓘ Diffusion Coefficient [D]			+10% -10%

✖Diffusion Time is the time required for the substance to moves randomly from a region of high concentration to a region of low concentration.ⓘ Time for Diffusion given Standard Deviation [t_D]

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Formula

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Time for Diffusion given Standard Deviation

Formula

`"t"_{"D"} = (("σ")^2)/(2*"D")`

Example

`"0.001106s"=(("1.33")^2)/(2*"800m²/s")`

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Time for Diffusion given Standard Deviation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient)
t_D = ((σ)^2)/(2*D)
This formula uses 3 Variables

Variables Used

Diffusion Time - (Measured in Second) - Diffusion Time is the time required for the substance to moves randomly from a region of high concentration to a region of low concentration.
Standard Deviation - The Standard Deviation is a measure of how spread out numbers are.
Diffusion Coefficient - (Measured in Square Meter Per Second) - Diffusion coefficient is the proportionality factor D in Fick's law .

STEP 1: Convert Input(s) to Base Unit

Standard Deviation: 1.33 --> No Conversion Required
Diffusion Coefficient: 800 Square Meter Per Second --> 800 Square Meter Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_D = ((σ)^2)/(2*D) --> ((1.33)^2)/(2*800)

Evaluating ... ...

t_D = 0.0011055625

STEP 3: Convert Result to Output's Unit

0.0011055625 Second --> No Conversion Required

FINAL ANSWER

0.0011055625 ≈ 0.001106 Second <-- Diffusion Time

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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

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Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

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Go Standard Deviation given RT and NP = (Retention Time)/(sqrt(Count of Theoretical Plates))

Standard Deviation of Diffusive Band Spreading

Go Standard Deviation = sqrt(2*Diffusion Coefficient*Time for diffusion)

Diffusion Coefficient given Standard Deviation

Go Diffusion Coefficient = ((Standard Deviation)^2)/(2*Time for diffusion)

Time for Diffusion given Standard Deviation

Go Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient)

< 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))

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Go Mass of Analyte 2 = ((Radius of 2nd column/Radius of 1st column)^2)*Mass of 1st analyte

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Retention Time given Capacity Factor

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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

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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

Time for Diffusion given Standard Deviation Formula

Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient)
t_D = ((σ)^2)/(2*D)

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 Time for Diffusion given Standard Deviation?

Time for Diffusion given Standard Deviation calculator uses Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient) to calculate the Diffusion Time, The Time for diffusion given standard deviation formula is defined as the ratio of the square of the standard deviation constant to that of twice the diffusion coefficient of the solute. Diffusion Time is denoted by t_D symbol.

How to calculate Time for Diffusion given Standard Deviation using this online calculator? To use this online calculator for Time for Diffusion given Standard Deviation, enter Standard Deviation (σ) & Diffusion Coefficient (D) and hit the calculate button. Here is how the Time for Diffusion given Standard Deviation calculation can be explained with given input values -> 0.001106 = ((1.33)^2)/(2*800).

FAQ

What is Time for Diffusion given Standard Deviation?

The Time for diffusion given standard deviation formula is defined as the ratio of the square of the standard deviation constant to that of twice the diffusion coefficient of the solute and is represented as t_D = ((σ)^2)/(2*D) or Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient). The Standard Deviation is a measure of how spread out numbers are & Diffusion coefficient is the proportionality factor D in Fick's law .

How to calculate Time for Diffusion given Standard Deviation?

The Time for diffusion given standard deviation formula is defined as the ratio of the square of the standard deviation constant to that of twice the diffusion coefficient of the solute is calculated using Diffusion Time = ((Standard Deviation)^2)/(2*Diffusion Coefficient). To calculate Time for Diffusion given Standard Deviation, you need Standard Deviation (σ) & Diffusion Coefficient (D). With our tool, you need to enter the respective value for Standard Deviation & Diffusion Coefficient 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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