Number Density Calculator

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_g]			+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]

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Number Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas)
n = P_g/([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: 4.1E-20 Pascal --> 4.1E-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_g/([BoltZ]*T_g) --> 4.1E-20/([BoltZ]*300)

Evaluating ... ...

n = 9.89872981333922

STEP 3: Convert Result to Output's Unit

9.89872981333922 1 per Cubic Meter --> No Conversion Required

FINAL ANSWER

9.89872981333922 ≈ 9.89873 1 per Cubic Meter <-- Number Density

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< 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_g/([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_g) & Temperature of Gas (T_g) and hit the calculate button. Here is how the Number Density calculation can be explained with given input values -> 9.89873 = 4.1E-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_g/([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_g) & 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.

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