Question

Which from following is an example of both intensive property and state function?

• A. Internal energy
• B. Volume
• C. Temperature
• D. Entropy

Hint:

To test if a property is intensive, imagine cutting the system in half. If the property's value remains exactly the same for the half-system (like temperature, pressure, density, concentration), it is intensive.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
An intensive property is independent of the amount of substance (e.g., density, temperature). A state function depends only on the current state of the system, not the path taken (e.g., $P, V, T, U, H, S$).

Step 2: Formula Application:
Categorize the options: - Internal Energy ($U$): Extensive, State Function. - Volume ($V$): Extensive, State Function. - Temperature ($T$): Intensive, State Function. - Entropy ($S$): Extensive, State Function.

Step 3: Explanation:
Temperature does not change if you divide a system in half (intensive), and its value is determined solely by the state of the system (state function). All other options listed are extensive properties because they scale with the size/mass of the system.

Step 4: Final Answer:
The correct example is Temperature.