Question

Consider the following thermodynamic properties of a system: (i) Volume (ii) Pressure (iii) Density (iv) Heat capacity. The extensive property/properties of the system is/are

• A. (ii) and (iv)
• B. (iv) only
• C. (i), (ii) and (iii)
• D. (i) and (iv)
• E. (iii) and (iv)

Hint:

An easy way to remember: If you cut the system in half, an extensive property becomes half, while an intensive property remains the same.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Extensive properties depend on the amount of matter in the system (e.g., mass, volume). Intensive properties do not depend on the amount of matter (e.g., temperature, pressure, density).

Step 2: Detailed Explanation:
Analyze each property:
• (i) Volume: Depends on the amount of substance. Extensive.
• (ii) Pressure: Does not depend on the amount. Intensive.
• (iii) Density: Ratio of mass to volume. Does not depend on the amount. Intensive.
• (iv) Heat capacity: Amount of heat needed to raise temperature by 1K. Depends on the mass of the substance. Extensive.

Step 3: Final Answer:
The extensive properties are (i) Volume and (iv) Heat capacity.