# Average Kinetic Energy of a Gas Molecule, Significance of the Kinetic Theory of Gases (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Average Kinetic Energy of a Gas Molecule

### The Equation of Force and Pressure

We know that

So, from figure

Multiplying and Dividing by 2 we get-

Rearranging equation we get-

- Here, N is the total number of gas molecules in a given region of space
- n is the number of moles of gas present in a given region of space.
- Avogadro՚s number
- Avagadro՚s number in this context is the number of molecules present in the one mole of gas. .
- Substituting in equation, Average Kinetic Energy of a gas molecule is given by-

## Significance of the Kinetic Theory of Gases

- As we know the Temperature, we can directly figure out the average Kinetic energy of a gas molecule. No matter what gas are you considering, except it is an ideal gas.
- one can accurately calculate the microscopic parameters like Momentum, Velocity, Internal energy, Kinetic energy, Thermal energy etc. and Visa-Versa. , As we Know the macroscopic parameters of gases like Pressure, Volume, Temperature etc. ,