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Ideal Gas Law Calculator

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Table of contents:
When an ideal gas is subject to a change involving temperature, pressure or volume, this calculator is the ideal tool to help establish its newfound properties.

Along with the calculator, this guide will describe an ideal gas and its characteristics, define an ideal gas constant, and how to utilize the ideal gas law equation.

Ideal gas: What is it?

The definition of an ideal gas depends on various conditions. It can be any gas as long as it fulfills one of the following:

	The gas particles obey Newton's laws of motion. 
	Any collisions between the gas particles are perfectly elastic. 
	Other than when they collide, the gas molecules never interact. 
	Every molecule is a point particle (where no space is taken up by the molecules).
	The gas contains an extensive amount of molecules, all of which move about randomly.

Ideal gas constant

The gas constant, which is represented by the symbol R, is also known as the universal constant or molar. It is used for many fundamental equations, and this includes ideal gas law. What’s the value of this particular constant? Well it is 8.3144598 J/(mol * K).

This gas constant is frequently referenced as a product that stems from Boltzmann’s constant k, which relates to both the gas temperature and kinetic energy. Due to the number of atoms found in a mole of substance, it is also defined as being a product of Avogadro number:

R = k/N = 1.38064852)*10^(-23) J/K /(6.022140857 * 10^23 1/mol) = 8.3144598 J/(mol * K)

The ideal gas law equation

The ideal gas law equation is pV = nRT. The letters are defined as follows:

•	p is the gas pressure (measurement = Pa).
•	V is the gas volume (measurement =m^3).
•	n is the substance amount (measurement = moles).
•	R represents the ideal gas constant.
•	T is the gas temperature (measurement = Kelvins).

If you need to find any of the aforementioned values, you only need to enter all the other measurements into the calculator.

For instance, if you want to work out the volume of 50 moles of gas under 1,100 hPa of pressure and with 220K temperature, the result would be: 
V = nRT/p = 50 * 8.3144598 * 220 / 101000 = 0.83 m^3.

Ideal Gas Law Calculator

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