Mean Free Path of Single-Species Gas 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 of Single-Species Gas [λ]

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Mean Free Path of Single-Species Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

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: 9.89873 1 per Cubic Meter --> 9.89873 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/(sqrt(2)*n*pi*d^2) --> 1/(sqrt(2)*9.89873*pi*12^2)

Evaluating ... ...

λ = 0.000157904009907834

STEP 3: Convert Result to Output's Unit

0.000157904009907834 Meter --> No Conversion Required

FINAL ANSWER

0.000157904009907834 ≈ 0.000158 Meter <-- Mean Free Path of Molecule

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Kinetic Energy per Mole

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Mean Free Path of Single-Species Gas Formula

LaTeX Go

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

What is mean free path?

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

How to Calculate Mean Free Path of Single-Species Gas?

Mean Free Path of Single-Species Gas calculator uses Mean Free Path of Molecule = 1/(sqrt(2)*Number Density*pi*Distance Between Two Bodies^2) to calculate the Mean Free Path of Molecule, Mean Free Path of Single-Species Gas formula is defined as the average distance traveled by a molecule between successive collisions in a single-species gas, which is a fundamental concept in the kinetic theory of gases, describing the random motion of gas molecules and their interactions. Mean Free Path of Molecule is denoted by λ symbol.

How to calculate Mean Free Path of Single-Species Gas using this online calculator? To use this online calculator for Mean Free Path of Single-Species Gas, enter Number Density (n) & Distance Between Two Bodies (d) and hit the calculate button. Here is how the Mean Free Path of Single-Species Gas calculation can be explained with given input values -> 0.000156 = 1/(sqrt(2)*9.89873*pi*12^2).

FAQ

What is Mean Free Path of Single-Species Gas?

Mean Free Path of Single-Species Gas formula is defined as the average distance traveled by a molecule between successive collisions in a single-species gas, which is a fundamental concept in the kinetic theory of gases, describing the random motion of gas molecules and their interactions and is represented as λ = 1/(sqrt(2)*n*pi*d^2) or Mean Free Path of Molecule = 1/(sqrt(2)*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 of Single-Species Gas?

Mean Free Path of Single-Species Gas formula is defined as the average distance traveled by a molecule between successive collisions in a single-species gas, which is a fundamental concept in the kinetic theory of gases, describing the random motion of gas molecules and their interactions is calculated using Mean Free Path of Molecule = 1/(sqrt(2)*Number Density*pi*Distance Between Two Bodies^2). To calculate Mean Free Path of Single-Species Gas, 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/(Number Density*pi*Distance Between Two Bodies^2)

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