Number Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas)
n = Pgas/([BoltZ]*Tg)
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 = Pgas/([BoltZ]*Tg) --> 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)

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

Number Density Formula

Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas)
n = Pgas/([BoltZ]*Tg)

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, The Number density formula is defined as the function of The Pressure of the gas, Stefan-Boltzmann constant and Temperature of the gas. 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 (Pgas) & Temperature of Gas (Tg) 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?
The Number density formula is defined as the function of The Pressure of the gas, Stefan-Boltzmann constant and Temperature of the gas and is represented as n = Pgas/([BoltZ]*Tg) 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?
The Number density formula is defined as the function of The Pressure of the gas, Stefan-Boltzmann constant and Temperature of the gas is calculated using Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas). To calculate Number Density, you need Pressure of Gas (Pgas) & Temperature of Gas (Tg). 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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