# Ideal Gas Law Formula

## Ideal Gas Law Formula

The Ideal Gas Law Formula states that a gas in which every molecule behaves autonomously of every individual molecule that constitutes it and which has no volume that is being excluded is called an ideal gas. Ideal Gas Law Formula is mathematically represented as

PV=nRT

Here-

P= Pressure of the gas

V=Volume of the gas

n= Total Amount of substance

R =ideal gas constant

T = Temperature

It is from the Ideal Gas Law Formula from which simpler gas laws like the Avogadro’s, Charles’s and Boyle’s laws were derived.

The Ideal Gas Law Formula is fully based on the ideal situation. From time to time it is needed to comprehend the concepts of the Ideal Gas Law Formula in advance before they can be used, and then used to suppose, unaffected by the original conditions of the world and its other conditions, the gases are in an ideal state. The Ideal Gas Law Formula helps everyone studying gases to better understand the behaviour of the gases. According to the Ideal Gas Law Formula, gases and their behaviour must follow the Kinetic-Molecular Theory if it continues to be ideal, but then, on the other hand, the Non-Ideal Gases will eventually deviate from this particular understanding of the Ideal Gas Law Formula because of the real-world situations.

### What is an Ideal Gas Law?

The concept of an Ideal gas is where an approximation is made by people, that directly assists to predict the behaviour of real gases. The term ideal gas refers specifically to a concept, it is a theoretical gas composed of molecules, which follow certain rules –

1. The molecules of Ideal gases do not attract or repel each other.
2. The molecules of Ideal gases interact by elastic collision.
3. The molecules of Ideal gases take up no volume.
4. The molecules of Ideal gases are moving point particles that have no volume of themselves.

### Ideal Gas Law

Ideal Gas Law Formula states that the molecules of Ideal gases are created to show the direct equivalency between pressure, volume, number of moles of gas and temperature. The Ideal Gas Law Formula shows the equation of a hypothetical or theoretical ideal gas, which means that the gas that is being talked about cannot exist in the conditions of the earth, but it is still considered to define the ideal state. Pressure and volume have an inverse relationship with each other in the Ideal Gas Law Formula, but have a direct relationship with Temperature.

The equation for the Ideal Gas Law is

P × V = n × R × T

### Derivation of Ideal Gas Law

Ideal Gas Law Formula is ultimately a mixture of three simple gas laws and they include-

Avogadro’s Law, Boyle’s Law and Charles’s Law.

1. i) Avogadro’s Law: It states that the volume of any gas is directly proportional to the number of moles of the gas.

V∝n————— (1)

1. ii) Boyle’s Law: It states that the pressure of any gas is inversely proportional to the volume of the gas.

V∝1P—————(2)

iii) Charles’s Law: It states that the volume of any gas is directly proportional to its Kelvin temperature of the gas.

V∝T—————–(3)

For Ideal Gas Law, these three equations combine into the Ideal Gas Law Formula.

V∝n×TP

To convert the proportionality to equality, the universal gas constant R is derived.

V=n×R×TP

Ideal Gas Law is given as

P × V = n ×R ×T

### Solved Examples

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