Number Density Calculator

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%

✖Number Density is the moles of particles per unit volume.ⓘ Number Density [n]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Elements of Kinetic Theory Formulas PDF PDF Image

Number Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas)
n = P_gas/([BoltZ]*T_g)
This formula uses 1 Constants, 3 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Number Density - (Measured in 1 per Cubic Meter) - Number Density is the moles of particles per unit volume.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 4.2E-20 Pascal --> 4.2E-20 Pascal No Conversion Required
Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = P_gas/([BoltZ]*T_g) --> 4.2E-20/([BoltZ]*300)

Evaluating ... ...

n = 10.1401622478109

STEP 3: Convert Result to Output's Unit

10.1401622478109 1 per Cubic Meter --> No Conversion Required

FINAL ANSWER

10.1401622478109 ≈ 10.14016 1 per Cubic Meter <-- Number Density

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Elements of Kinetic Theory » Number Density

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Sai Venkata Phanindra Chary Arendra

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!

< Elements of Kinetic Theory Calculators

Pressure using Molar Volume

LaTeX Go Pressure = 2/3*Kinetic Energy per Mole/Molar Volume using Kinetic Energy

Volume of Gas

LaTeX Go Volume of Gas = 2/3*Total Kinetic Energy per Mole/Pressure

Pressure using Kinetic Energy per Mole

LaTeX Go Pressure = 2/3*Kinetic Energy per Mole/Volume of Gas

Kinetic Energy per Mole

LaTeX Go Kinetic Energy per Mole = 3/2*Pressure*Volume of Gas

Number Density Formula

LaTeX Go

Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas)
n = P_gas/([BoltZ]*T_g)

What is Boltzmann constant?

The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas

How to Calculate Number Density?

Number Density calculator uses Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas) to calculate the Number Density, Number Density formula is defined as a measure of the number of particles per unit volume of a gas, providing a fundamental understanding of the physical properties of gases in kinetic theory, where the behavior of gas molecules is studied in relation to temperature and pressure. Number Density is denoted by n symbol.

How to calculate Number Density using this online calculator? To use this online calculator for Number Density, enter Pressure of Gas (P_gas) & Temperature of Gas (T_g) and hit the calculate button. Here is how the Number Density calculation can be explained with given input values -> 10.14016 = 4.2E-20/([BoltZ]*300).

FAQ

What is Number Density?

Number Density formula is defined as a measure of the number of particles per unit volume of a gas, providing a fundamental understanding of the physical properties of gases in kinetic theory, where the behavior of gas molecules is studied in relation to temperature and pressure and is represented as n = P_gas/([BoltZ]*T_g) or Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas). The pressure of Gas is the force that the gas exerts on the walls of its container & The temperature of Gas is the measure of hotness or coldness of a gas.

How to calculate Number Density?

Number Density formula is defined as a measure of the number of particles per unit volume of a gas, providing a fundamental understanding of the physical properties of gases in kinetic theory, where the behavior of gas molecules is studied in relation to temperature and pressure is calculated using Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas). To calculate Number Density, you need Pressure of Gas (P_gas) & Temperature of Gas (T_g). With our tool, you need to enter the respective value for Pressure of Gas & Temperature of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Spanish French German Russian Italian Portuguese Polish Dutch

Home

FREE PDFs

🔍 Search