Pressure of Gas using Number Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas
Pg = n*[BoltZ]*Tg
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: 9.89873 1 per Cubic Meter --> 9.89873 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
Pg = n*[BoltZ]*Tg --> 9.89873*[BoltZ]*300
Evaluating ... ...
Pg = 4.10000007731388E-20
STEP 3: Convert Result to Output's Unit
4.10000007731388E-20 Pascal --> No Conversion Required
FINAL ANSWER
4.10000007731388E-20 4.1E-20 Pascal <-- Pressure of Gas
(Calculation completed in 00.020 seconds)

Credits

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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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

Pressure of Gas using Number Density Formula

​LaTeX ​Go
Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas
Pg = n*[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 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, Pressure of Gas using Number Density formula is defined as a measure of the force exerted per unit area of a gas, which is directly proportional to the number density of molecules and the temperature of the gas, providing a fundamental understanding of the kinetic theory of gases. Pressure of Gas is denoted by Pg 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 (Tg) 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 = 9.89873*[BoltZ]*300.

FAQ

What is Pressure of Gas using Number Density?
Pressure of Gas using Number Density formula is defined as a measure of the force exerted per unit area of a gas, which is directly proportional to the number density of molecules and the temperature of the gas, providing a fundamental understanding of the kinetic theory of gases and is represented as Pg = n*[BoltZ]*Tg 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?
Pressure of Gas using Number Density formula is defined as a measure of the force exerted per unit area of a gas, which is directly proportional to the number density of molecules and the temperature of the gas, providing a fundamental understanding of the kinetic theory of gases 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 (Tg). 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.
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