# Ideal Gas Equation, Introduction, Equation of Ideal Gas Law (For CBSE, ICSE, IAS, NET, NRA 2022)

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# Ideal Gas Equation

## Introduction

- When dealing with gas, a famous equation was used to relate all-of the factors needed in order to solve a gas problem. This equation is known as the Ideal Gas Equation.
- Anything ideal does not exist in real world.
- Here, two well-known assumptions should have been made beforehand:
- The particles have no forces acting among them
- These particles do not take up any space, meaning their atomic volume is completely ignored.

- An ideal gas is a hypothetical gas dreamed by chemists and students because it would be much easier if things like intermolecular forces do not exist to complicate the simple
*Ideal Gas Law*. - Ideal gases are point masses moving in constant, random, straight-line motion. Its behavior is described by the assumptions listed in the Kinetic-Molecular Theory of Gases.
- This definition of an ideal gas contrasts with the Non-Ideal Gas definition, because this equation represents how gas actually behaves in reality.

## About Ideal Gas Equation

Ideal gas law is a well-defined approximation of the behaviour of many gases under diverse conditions in thermodynamics.

### Ideal Gad Law

- Ideal Gas Equation is the combination of empirical laws like
- Charle՚s law,
- Boyle՚s law,
- Gay-Lussac՚s law
- Avogadro՚s law.

- Ideal Gas Equation is the equation defining the states of the hypothetical gases expressed mathematically by the combinations of empirical and physical constants. It is also called the
**general gas equation**. **Definition**: ‘The ideal gas law is the equation of state of a hypothetical ideal gas. It is a good approximation of the behaviour of many gases under many conditions, although it has several limitations’

## Equation of Ideal Gas Law

- State of an ideal gas is determined by the macroscopic and microscopic parameters like pressure, volume, temperature.
*So, the ideal gas equation is often written as*:

*Where*,

- P is the pressure of the ideal gas.
- V is the volume of the ideal gas.
- n is the amount of ideal gas measured in terms of moles.
- R is the gas constant.
- T is the temperature.

The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.

### The Ideal Gas Equation Units, Terms, and Corresponding Definitions

Terms | Symbol | Definition | Units |

Pressure | P | Force per unit՚s area | Pa or N/ |

Volume | V | Three-dimensional space enclosed by the closed surface | |

Amount of substances/number of moles | n | The ratio of the mass of the gas (m) to its molar mass (M) . | Mole |

Ideal gas constant | R | Physical constant relating the average kinetic energy of an ideal gas with temperature. It is expressed in units of energy per temperature increment per mole | 8.3144598 (48) |

Temperature | T | Measure of heat | K or |