could you give examples for intensive,extensive properties and state,path variables

Sure, I'd be happy to provide examples for each of those terms:

1. Intensive Properties: These are properties of matter that do not depend on the amount of substance present. They are intrinsic to the substance, regardless of how much of it there is. Examples include temperature, pressure, density, and boiling point.

2. Extensive Properties: These are properties that do depend on the amount of substance present. They are extrinsic to the substance, and change based on how much of it there is. Examples include mass, volume, energy, and total charge.

3. State Variables: These are variables that define the state of a system in thermodynamics. They depend only on the current state of the system, not on the path taken to get there. Examples include temperature, pressure, volume, and internal energy.

4. Path Variables: These are variables that do depend on the path taken to get to the current state. They are not just dependent on the current state of the system, but also on the history of the system. Examples include work and heat.