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Mean Free Path using Number Density Formula

GoMean Free Path of Single-Species Gas Formula

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The Mean Free Path of Molecule is the average distance an object will move between collisions. Check FAQs

λ = \frac{1}{n \cdot π \cdot d^{2}}

λ - Mean Free Path of Molecule?n - Number Density?d - Distance Between Two Bodies?π - Archimedes' constant?

Mean Free Path using Number Density Example

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Here is how the Mean Free Path using Number Density equation looks like with Values.

Here is how the Mean Free Path using Number Density equation looks like with Units.

Here is how the Mean Free Path using Number Density equation looks like.

0.0002 = \frac{1}{9.8987 \cdot 3.1416 \cdot 12^{2}}

0.0002m = \frac{1}{9.89871/m³ \cdot 3.1416 \cdot {12m}^{2}}

0.0002 = \frac{1}{9.8987 \cdot 3.1416 \cdot 12^{2}}

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Mean Free Path using Number Density Solution

Follow our step by step solution on how to calculate Mean Free Path using Number Density?

FIRST Step Consider the formula

λ = \frac{1}{n \cdot π \cdot d^{2}}

Next Step Substitute values of Variables

∴

λ = \frac{1}{9.89871/m³ \cdot π \cdot {12m}^{2}}

Next Step Substitute values of Constants

∴

λ = \frac{1}{9.89871/m³ \cdot 3.1416 \cdot {12m}^{2}}

Next Step Prepare to Evaluate

∴

λ = \frac{1}{9.8987 \cdot 3.1416 \cdot 12^{2}}

Next Step Evaluate

∴

λ = 0.000223309992364755m

LAST Step Rounding Answer

∴

λ = 0.0002m

Mean Free Path using Number Density Formula Elements

Variables

Constants

Mean Free Path of Molecule

The Mean Free Path of Molecule is the average distance an object will move between collisions.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Free Path of Molecule

Number Density

Number Density is the moles of particles per unit volume.

Symbol: n

Measurement: Number DensityUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Number Density

Distance Between Two Bodies

Distance Between Two Bodies is the measurement of how far two bodies are placed.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance Between Two Bodies

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Mean Free Path of Molecule

Go Mean Free Path of Single-Species Gas

λ = \frac{1}{\sqrt{2} \cdot n \cdot π \cdot d^{2}}

Other formulas in Elements of Kinetic Theory category

Go Pressure using Kinetic Energy per Mole

p = \frac{2}{3} \cdot \frac{E' t}{V}

Go Volume of Gas

V = \frac{2}{3} \cdot \frac{E t}{p}

Go Kinetic Energy per Mole

E' t = \frac{3}{2} \cdot p \cdot V

Go Pressure using Molar Volume

p = \frac{2}{3} \cdot \frac{E' t}{V m}

How to Evaluate Mean Free Path using Number Density?

Mean Free Path using Number Density evaluator uses Mean Free Path of Molecule = 1/(Number Density*pi*Distance Between Two Bodies^2) to evaluate the Mean Free Path of Molecule, Mean Free Path using Number Density formula is defined as the average distance traveled by a moving particle, such as a molecule of a gas, between successive collisions with other particles in a given medium, providing insight into the kinetic properties of gases and their behavior under various conditions. Mean Free Path of Molecule is denoted by λ symbol.

How to evaluate Mean Free Path using Number Density using this online evaluator? To use this online evaluator for Mean Free Path using Number Density, enter Number Density (n) & Distance Between Two Bodies (d) and hit the calculate button.

FAQs on Mean Free Path using Number Density

What is the formula to find Mean Free Path using Number Density?

The formula of Mean Free Path using Number Density is expressed as Mean Free Path of Molecule = 1/(Number Density*pi*Distance Between Two Bodies^2). Here is an example- 0.000221 = 1/(9.89873*pi*12^2).

How to calculate Mean Free Path using Number Density?

With Number Density (n) & Distance Between Two Bodies (d) we can find Mean Free Path using Number Density using the formula - Mean Free Path of Molecule = 1/(Number Density*pi*Distance Between Two Bodies^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Mean Free Path of Molecule?

Here are the different ways to Calculate Mean Free Path of Molecule-

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

Can the Mean Free Path using Number Density be negative?

No, the Mean Free Path using Number Density, measured in Wavelength cannot be negative.

Which unit is used to measure Mean Free Path using Number Density?

Mean Free Path using Number Density is usually measured using the Meter[m] for Wavelength. Megameter[m], Kilometer[m], Centimeter[m] are the few other units in which Mean Free Path using Number Density can be measured.

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