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Thermodynamics FAQ

In a phase transition of second order, which quantity diverges at the critical point?

Specific heat (or susceptibility). At a second-order (continuous) phase transition, the specific heat, correlation length, and susceptibility all diverge as a power law.

Short Answer

Specific heat (or susceptibility) is the best answer.

Thermodynamics questions usually test sign conventions, state variables, or what is being held constant. Before calculating, decide whether the system is exchanging heat, doing work, or both.

At a second-order (continuous) phase transition, the specific heat, correlation length, and susceptibility all diverge as a power law.

Why This Answer Is Correct

This is a Hard-level question in Thermodynamics. The prompt is really testing whether you can connect the concept to its defining physical relationship instead of picking a nearby-but-wrong term.

Write the system boundary first. Many thermodynamics mistakes disappear once you know what counts as heat, work, and internal-energy change.

Choices At A Glance

  • A. Volume
  • B. Entropy
  • C. Specific heat (or susceptibility)
  • D. Pressure

When similar options appear on an exam, eliminate the ones that break the core law, use the wrong units, or confuse a definition with a consequence.

Topic Snapshot

Topic: Thermodynamics

Difficulty: Hard

Best next move: Re-state the governing law in your own words, then solve one more example from the same topic before moving on.