A solid state has which of the following characteristics?

A solid state is characterized by having a fixed volume, which means that the particles within a solid are closely packed together in a defined arrangement. This close packing leads to a rigid structure that maintains its shape and size under normal conditions. The molecules in a solid vibrate in place but do not move freely, which is why a solid has a definite volume that does not change regardless of the container it is in.

In contrast, the other options describe properties of liquids and gases. For example, a substance that will expand to fit the available space is indicative of a gas, which lacks both a fixed shape and fixed volume. Similarly, a solvent is a component of a solution and is typically found in liquids, not solids. Lastly, the statement about having no fixed shape aligns with gases and liquids, where the substance takes the shape of its container. Thus, the defining characteristic of a solid is its ability to maintain a fixed volume.