Chapter 13.1, Problem 5LC

Interpretation Introduction

Interpretation:

The relation between the average kinetic energy and Kelvin temperature is to be determined.

Concept Introduction :

The kinetic theory of gases is a theoretical model, to characterize the molecular makeup of the gas. It is a theory that describes the states of matter and is based on the idea that all matter is made up of small particles that are constantly moving.

Answer to Problem 5LC

The average kinetic energy is directly proportional to the Kinetic temperature.

Explanation of Solution

The expression for average kinetic energy is as follows:

  $E=\frac{3}{2}kT$

Here, $k$ is Boltzmann constant and $T$ is temperature. Temperature is always taken in Kelvin scale.

As seen above,

  $E\propto T$

Thus, the average kinetic energy is directly proportional to Kelvin temperature.