Pressure of Gas using Number Density Calculator

✖Number Density is the moles of particles per unit volume.ⓘ Number Density [n]			+10% -10%
✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas using Number Density [P_gas]

⎘ Copy

👎

Formula

✖

Pressure of Gas using Number Density

Formula

`"P"_{"gas"} = "n"*"[BoltZ]"*"T"_{"g"}`

Example

`"4.1E^-20Pa"="10/m³"*"[BoltZ]"*"300K"`

Calculator

LaTeX

Reset

👍

Download Elements of Kinetic Theory Formulas PDF

Pressure of Gas using Number Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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

Number Density: 10 1 per Cubic Meter --> 10 1 per Cubic Meter No Conversion Required
Temperature of Gas: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_gas = n*[BoltZ]*T_g --> 10*[BoltZ]*300

Evaluating ... ...

P_gas = 4.14194556E-20

STEP 3: Convert Result to Output's Unit

4.14194556E-20 Pascal --> No Conversion Required

FINAL ANSWER

4.14194556E-20 ≈ 4.1E-20 Pascal <-- Pressure of Gas

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Elements of Kinetic Theory » Pressure of Gas using 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 Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ 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

Pressure of Gas using Number Density Formula

Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas
P_gas = n*[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 Pressure of Gas using Number Density?

Pressure of Gas using Number Density calculator uses Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas to calculate the Pressure of Gas, The Pressure of gas using number density formula is defined as the function of number density, Stefan-Boltzmann constant and temperature of the gas. Pressure of Gas is denoted by P_gas symbol.

How to calculate Pressure of Gas using Number Density using this online calculator? To use this online calculator for Pressure of Gas using Number Density, enter Number Density (n) & Temperature of Gas (T_g) and hit the calculate button. Here is how the Pressure of Gas using Number Density calculation can be explained with given input values -> 4.1E-20 = 10*[BoltZ]*300.

FAQ

What is Pressure of Gas using Number Density?

The Pressure of gas using number density formula is defined as the function of number density, Stefan-Boltzmann constant and temperature of the gas and is represented as P_gas = n*[BoltZ]*T_g or Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas. Number Density is the moles of particles per unit volume & The temperature of Gas is the measure of hotness or coldness of a gas.

How to calculate Pressure of Gas using Number Density?

The Pressure of gas using number density formula is defined as the function of number density, Stefan-Boltzmann constant and temperature of the gas is calculated using Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas. To calculate Pressure of Gas using Number Density, you need Number Density (n) & Temperature of Gas (T_g). With our tool, you need to enter the respective value for Number Density & Temperature of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search