How is the temperature of a substance related to the energy of movement of the particles in the substance?

Not really sure I understand the question, but as a substance cools, particles move faster. As a substance heats up, particles move slowly. Sorry if that wasn't your question...

Whoa there, as temperature heats up, particles move more quickly, and as temperature cools down, particles move more slowly.

I don't know where you learned that from, go check your facts again.
Evidence that this is true: Metal train tracks have little gaps in them, because they expand as they heat in summertime. The gaps prevent the tracks from curving and being unstable.

The temperature of a substance is directly related to the energy of movement of the particles in the substance. This relationship can be understood using the concept of heat transfer and the kinetic theory of matter.

To explain how the temperature relates to the energy of particle movement, it's important to understand a few key points:

1. Temperature is a measure of the average kinetic energy of the particles in a substance. Kinetic energy refers to the energy of movement possessed by particles.

2. According to the kinetic theory of matter, all particles in a substance are constantly in motion. The motion can be in the form of translation (movement from one place to another), rotation (the spinning of particles around their axis), or vibration (back-and-forth oscillation).

3. The kinetic energy of particles increases with an increase in their speed. When the temperature of a substance rises, the average kinetic energy of the particles increases, meaning the particles move with greater speed.

4. The relationship between temperature and energy can be explained through heat transfer. Heat transfer occurs when there is a temperature difference between two substances or regions. Heat flows from a higher temperature region to a lower temperature region until thermal equilibrium is reached.

In summary, as the temperature of a substance increases, the average kinetic energy (energy of movement) of the particles in the substance also increases. The particles move faster and collide more frequently, resulting in increased energy transfer and a rise in temperature. Conversely, when the temperature decreases, the average kinetic energy of the particles decreases, leading to a decrease in their movement and a lower temperature.