Final answer:
The gas state is where particles move randomly with a very weak intermolecular force of attraction, allowing them to fill any container shape and volume.
Step-by-step explanation:
The state of matter in which particles move about randomly due to very weak force of attraction is the gas state. In a gas, the particles are far apart, and the intermolecular interactions are almost negligible. These particles travel in straight lines until they collide with other particles or the walls of a container. Due to the weak force of attraction between the particles, a gas can easily flow, takes on the shape of the container, and will expand to fill the entire volume available. Unlike solids and liquids, gases neither have a fixed shape nor a fixed volume.