During which state of matter are particles fast moving, have the most kinetic energy, and the particles are far apart?

The state of matter that fits the description of fast-moving particles with high kinetic energy and particles being far apart is the gas state.

Now, you might wonder how to determine this on your own. One way is to understand the characteristics and behavior of each state of matter by considering the properties of their particles.

To begin, let's look at the three primary states of matter: solid, liquid, and gas.

In a solid, particles are tightly packed together, forming a rigid structure. The particles in a solid vibrate in fixed positions but do not move freely.

In a liquid, the particles are still close together but have more freedom to move around. Liquids can flow and take the shape of the container they are in. The particles in a liquid move randomly, but they do not have as much kinetic energy as gases.

In a gas, the particles have the most freedom of movement. They move quickly, randomly, and are much farther apart compared to solids and liquids. This results in gases not having a definite shape or volume.

So, based on these characteristics, we can conclude that the state of matter with fast-moving particles, high kinetic energy, and particles being far apart is a gas.