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Which thermodynamic potential is minimised at constant T and P?

Gibbs free energy G. G = U + PV − TS is minimised for spontaneous processes at constant T and P; ΔG < 0 for spontaneous reactions.

Short Answer

Gibbs free energy G 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.

G = U + PV − TS is minimised for spontaneous processes at constant T and P; ΔG < 0 for spontaneous reactions.

Why This Answer Is Correct

This is a Medium-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. Internal energy U
  • B. Helmholtz free energy F
  • C. Gibbs free energy G
  • D. Enthalpy H

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: Medium

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