Chapter 13, Problem 37A

Interpretation Introduction

Interpretation: The change in the average kinetic energy of water is to be estimated.

Concept introduction:

Kinetic energy is a type of energy that a moving object or particle possesses. Among, liquids, solids, and gases, gases possess the highest kinetic energy.

Answer to Problem 37A

The average kinetic energy of water does not change.

Explanation of Solution

The relationship between kinetic energy and temperature is as follows:

  $E_k=\frac{3}{2}{k}_{B}T$

Here, $E_k$ is kinetic energy, $k_B$ is Boltzmann’s constant, and $T$ is temperature.

Thus, from the above expression, kinetic energy is directly proportional to temperature.

Because the water in the cups and the kettle is at the same temperature, the average kinetic energy remains constant.