Thermodynamic Continuum

A continuum is continuous, homogeneous matter with no holes.

The size of a system must be large relative to space between molecules for the continuum assumption to apply. The example below would not be considered a continuum because it doesn’t contain enough molecules.

Our density of this would be:

$$\text{Density}=\frac{\text{Mass}}{\text{Volume}}=\frac{\text{\# of molecules}\times m}{V}$$