The animated plot clearly demonstrates the core distinction between thermodynamic properties: as the system's volume increases across the visualized range, intensive properties like Density ( $\rho$ ) and Specific Heat Capacity ( $c_V$ ) remain absolutely constant, confirming they are independent of the system's size and fixed characteristics of the air's state. Conversely, the extensive properties, specifically Mass ( $M$ ) and Total Heat Capacity ( $C_V$ ), are shown to increase linearly in direct proportion to the volume, confirming that extensive properties are additive and scale directly with the size of the system, mathematically validating the integral relationship $C_V=\int\left(\rho \cdot c_V\right) d V$.
Visualize the behavior of both intensive properties and extensive properties-L.mp4