# Statistical Thermo Gas Equation

Derive the Ideal gas equation using statistical thermodynamics (ie partition function ect)

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Hi C

Here it is.

I used the classical approach which is the simplest and most straightforward (no need to deal with quantum density of states and so forth and so on).

First let's examine the partition function of a single gas molecule with momentum p and mass m moving freely in a container of volume V (the collisions with the walls and other molecules are completely elastic, so there is no loss of energy).

The molecule's energy is ...

#### Solution Summary

The expert derives the ideal gas equation using statistical thermodynamics.

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