| 2N |
 |
| 3 |
Compare our result:
| PV | = |
|
Kav |
to the ideal gas law
PV = NkT
The two equations agree when the average translational kinetic energy of the molecules is:
| Kav | = |
|
kT |
Here we have a fundamental connection between temperature and the average translational kinetic energy of the atoms - they are directly proportional to one another. Temperature is a measure of the average kinetic energy of the atoms.