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Third Law of Thermodynamics

S → 0 as T → 0 K
Quick Reference
Formula / NotationS → 0 as T → 0 K
Also Known AsThird law of thermodynamics, Nernst theorem, absolute entropy law, entropy at absolute zero

What is Third Law of Thermodynamics?

The Third Law of Thermodynamics states that the entropy of a perfect crystalline substance approaches zero as the temperature approaches absolute zero (0 K). This provides an absolute reference point for entropy calculations. As T → 0 K, S → 0 (for a perfect crystal). This allows calculation of absolute (standard molar) entropies from heat capacity measurements over a temperature range.

Formula & Notation

S → 0 as T → 0 K

Other Names / Synonyms: Third law of thermodynamics, Nernst theorem, absolute entropy law, entropy at absolute zero

Properties & Characteristics

Perfect crystal at 0 K: S = 0. Standard molar entropy S° at 25°C calculated from: S° = ∫₀²⁹⁸ (Cp/T)dT + Σ(ΔH_transition/T). Residual entropy: some glasses and mixed crystals retain non-zero entropy at 0 K (frozen-in disorder). Allows calculation of absolute entropies (unlike enthalpy, where only changes can be measured).

Uses & Applications

Calculating standard entropy changes (ΔS° = ΣS°products − ΣS°reactants). Evaluating thermodynamic feasibility of reactions. Low-temperature physics. Cryogenic technology design. Thermodynamic modeling of chemical processes. Understanding entropy as absolute quantity.

Safety Information

Theoretical law — no direct safety concerns. Cryogenic temperatures involved in approaching 0 K: extreme cold hazards.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Third Law of Thermodynamics
Formula S → 0 as T → 0 K
Synonyms Third law of thermodynamics, Nernst theorem, absolute entropy law, entropy at absolute zero

Frequently Asked Questions

The Third Law of Thermodynamics states that the entropy of a perfect crystalline substance approaches zero as the temperature approaches absolute zero (0 K). This provides an absolute reference point for entropy calculations. As T → 0 K, S → 0 (for a perfect crystal). This allows calculation of absolute (standard molar) entropies from heat capacity measurements over a temperature range.

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