In a P-V-T diagram, where \(P\) is pressure, \(V\) is volume, and \(T\) is temperature, the volume \(V\) can be demonstrated to be a state function by showing that it depends only on the state of the system (i.e., the specific values of \(P\), \(V\), and \(T\)) and not on how the system reached that state.
**Definition of a State Function:**
A state function is a property whose value depends only on the state of the system and not on the path