# The average kinetic energy of the molecules of an ideal gas is directly proportional to what?

##### 1 Answer

#### Answer:

The energy is proportional to the absolute temperature.

#### Explanation:

An immediate deduction of kinetic theory is the pressure expression,

Where

Thus,

Making this substitution,

But,

Therefore,

But, from ideal gas equation,

Using these results,

Which finally gives,

Where,

Thus the energy is proportional to the temperature.

This the the kinetic interpretation of temperature.