Mean Free Path using Number Density Calculator

✖Number Density is the moles of particles per unit volume.ⓘ Number Density [n]			+10% -10%
✖Distance between Two Bodies is the measurement of how far two bodies are placed.ⓘ Distance between Two Bodies [d]			+10% -10%

✖The Mean Free Path of Molecule is the average distance an object will move between collisions.ⓘ Mean Free Path using Number Density [λ]

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Formula

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Mean Free Path using Number Density

Formula

λ = \frac{1}{n \cdot π \cdot d^{2}}

Example

0.000221 m = \frac{1}{10 /m³ \cdot π \cdot {12 m}^{2}}

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Mean Free Path using Number Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Free Path of Molecule = 1/(Number Density*pi*Distance between Two Bodies^2)
λ = 1/(n*pi*d^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Mean Free Path of Molecule - (Measured in Meter) - The Mean Free Path of Molecule is the average distance an object will move between collisions.
Number Density - (Measured in 1 per Cubic Meter) - Number Density is the moles of particles per unit volume.
Distance between Two Bodies - (Measured in Meter) - Distance between Two Bodies is the measurement of how far two bodies are placed.

STEP 1: Convert Input(s) to Base Unit

Number Density: 10 1 per Cubic Meter --> 10 1 per Cubic Meter No Conversion Required
Distance between Two Bodies: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = 1/(n*pi*d^2) --> 1/(10*pi*12^2)

Evaluating ... ...

λ = 0.000221048532072077

STEP 3: Convert Result to Output's Unit

0.000221048532072077 Meter --> No Conversion Required

FINAL ANSWER

0.000221048532072077 ≈ 0.000221 Meter <-- Mean Free Path of Molecule

(Calculation completed in 00.020 seconds)

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Amrita School of Engineering (ASE), Vallikavu

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Mean Free Path using Number Density Formula

Mean Free Path of Molecule = 1/(Number Density*pi*Distance between Two Bodies^2)
λ = 1/(n*pi*d^2)

What is mean free path?

The mean free path is the average distance travelled by a moving particle between successive impacts, which modifies its direction or energy or other particle properties

How to Calculate Mean Free Path using Number Density?

Mean Free Path using Number Density calculator uses Mean Free Path of Molecule = 1/(Number Density*pi*Distance between Two Bodies^2) to calculate the Mean Free Path of Molecule, Mean Free Path using Number Density is defined as is the function of number density, pi and distance travelled between two molecules. Mean Free Path of Molecule is denoted by λ symbol.

How to calculate Mean Free Path using Number Density using this online calculator? To use this online calculator for Mean Free Path using Number Density, enter Number Density (n) & Distance between Two Bodies (d) and hit the calculate button. Here is how the Mean Free Path using Number Density calculation can be explained with given input values -> 0.000221 = 1/(10*pi*12^2).

FAQ

What is Mean Free Path using Number Density?

Mean Free Path using Number Density is defined as is the function of number density, pi and distance travelled between two molecules and is represented as λ = 1/(n*pi*d^2) or Mean Free Path of Molecule = 1/(Number Density*pi*Distance between Two Bodies^2). Number Density is the moles of particles per unit volume & Distance between Two Bodies is the measurement of how far two bodies are placed.

How to calculate Mean Free Path using Number Density?

Mean Free Path using Number Density is defined as is the function of number density, pi and distance travelled between two molecules is calculated using Mean Free Path of Molecule = 1/(Number Density*pi*Distance between Two Bodies^2). To calculate Mean Free Path using Number Density, you need Number Density (n) & Distance between Two Bodies (d). With our tool, you need to enter the respective value for Number Density & Distance between Two Bodies 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 Mean Free Path of Molecule?

In this formula, Mean Free Path of Molecule uses Number Density & Distance between Two Bodies. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Free Path of Molecule = 1/(sqrt(2)*Number Density*pi*Distance between Two Bodies^2)

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