What is the state of matter where particles are far apart in an irregular pattern and freely move around, constantly colliding with each other?

The state of matter described in your question is known as a gas.

In a gas, the particles are much farther apart compared to solids and liquids. This spacing allows them to move freely and embrace a random, irregular arrangement. Because of this freedom of movement, gas particles fill the shape of their container and can expand to occupy a larger volume if given the space.

The collisions between gas particles and with the walls of their container lead to pressure, which is a fundamental property of gases. Unlike particles in solids, which are tightly packed in a fixed arrangement, gas particles can move rapidly in all directions, leading to their characteristic behaviors, such as diffusion and the ability to compress.

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