Classifying thermodynamic properties – which one is intensive? Select the property that is intensive (independent of the amount of substance) for a thermodynamic system.

Difficulty: Easy

Correct Answer: Temperature

Explanation:


Introduction / Context:
Thermodynamic properties are categorized as intensive or extensive. This classification is fundamental for scaling analyses, mixture calculations, and formulating constitutive relations and equations of state.


Given Data / Assumptions:

  • System can be subdivided conceptually into parts.
  • Properties may or may not scale with system size.
  • We identify one property independent of system quantity.


Concept / Approach:

Intensive properties do not depend on the amount of matter (e.g., temperature, pressure, density). Extensive properties scale with size and are additive over subsystems (e.g., mass, volume, energy, entropy). When combining identical subsystems, intensive properties stay the same; extensive properties add.


Step-by-Step Solution:

Test each property for additivity when two identical systems are combined.Temperature remains unchanged (assuming equilibrium), hence intensive.Volume, mass, energy, and entropy double, hence extensive.


Verification / Alternative check:

Specific properties (e.g., specific volume v = V/m) are intensive, formed by the ratio of two extensive properties; temperature behaves similarly as a non-additive, equilibrium property.


Why Other Options Are Wrong:

Volume, mass, energy, and entropy are additive over parts; they increase with system size and are therefore extensive.


Common Pitfalls:

Confusing energy per unit mass (specific energy) with total energy; the former is intensive but the latter is extensive.


Final Answer:

Temperature

More Questions from Thermodynamics

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion