Final answer:
The density of a pure and homogeneous substance remains constant regardless of the sample size. This is because density is an intensive property that does not depend on the amount of material. Therefore, the statement is true for pure, homogeneous substances.
Step-by-step explanation:
The statement that "The density of a substance will remain the same no matter how large or small the sample of the substance" is true for a pure substance that is homogeneous. Density is an intensive property, meaning it does not change with the size of the sample of the material. For example, whether you have a small piece of aluminum or a large block, if the substance is pure and homogeneous, its density will always be 2.70 g/cm³ at 20°C. In contrast, a heterogeneous substance, like Swiss cheese with its varying content of cheese and air pockets, has a varying local density and does not necessarily maintain the same density throughout.
Density (p) is calculated by dividing the mass of a substance by its volume. This physical property helps to determine if an object will sink or float in a fluid. Whether we consider a single drop of water or a large volume, the density of the water remains constant at 1.0 g/mL. Similarly, a sample of pure tungsten always has a density of 19.25 grams per cubic centimeter, irrespective of the sample's size.