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 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

15 Elements of Kinetic Theory Calculators

Mean Free Path of Single-Species Gas
Go Mean Free Path of Molecule = 1/(sqrt(2)*Number Density*pi*Distance between Two Bodies^2)
Mean Free Path using Number Density
Go Mean Free Path of Molecule = 1/(Number Density*pi*Distance between Two Bodies^2)
Number Density
Go Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas)
Pressure of Gas using Number Density
Go Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas
Molar Volume using Kinetic Energy per Mole
Go Molar Volume using Kinetic Energy = 2/3*Kinetic Energy per Mole/Pressure
Kinetic Energy per Mole using Molar Volume
Go Kinetic Energy per Mole = 3/2*Pressure*Molar Volume using Kinetic Energy
Pressure using Molar Volume
Go Pressure = 2/3*Kinetic Energy per Mole/Molar Volume using Kinetic Energy
Specific Gas Constant using Kinetic Energy per Mole
Go Specific Gas Constant = 2/3*Kinetic Energy per Mole/Temperature of Gas
Kinetic Energy per Mole using Temperature of Gas
Go Kinetic Energy per Mole = 3/2*Specific Gas Constant*Temperature of Gas
Temperature of Gas using Kinetic Energy per Mole
Go Temperature of Gas = 2/3*Kinetic Energy per Mole/Specific Gas Constant
Temperature of Gas using Emissivity per Unit Mole
Go Temperature of Gas = 2/3*Emissivity per unit Mole/[BoltZ]
Emissivity per Unit Mole
Go Emissivity per unit Mole = 3/2*[BoltZ]*Temperature of Gas
Volume of Gas
Go Volume of Gas = 2/3*Total Kinetic Energy per Mole/Pressure
Pressure using Kinetic Energy per Mole
Go Pressure = 2/3*Kinetic Energy per Mole/Volume of Gas
Kinetic Energy per Mole
Go Kinetic Energy per Mole = 3/2*Pressure*Volume of Gas

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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