# How is pressure related to kinetic energy?

##### 1 Answer

Nov 14, 2015

For an ideal gas, the relation is given by

Where K =N*KEbar (N=total number of molecules, KEbar= average kinetic energy)

#### Explanation:

Given the following ideal gas relation

Where the energy of the molecules is given by

setting

, where N is total molecules

Through rearrangement, you get

.

Reference:-

https://en.wikipedia.org/wiki/Kinetic_theory#Temperature_and_kinetic_energy