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Third law

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Entropy approaches a constant as T approaches zero.

As temperature approaches absolute zero, the entropy of a perfect crystal approaches zero, and absolute zero cannot be reached in a finite number of steps.

Worked example

Experiments have reached nanokelvin.

Common mistake

Heat capacities vanish at T → 0.

In more detail

The third law of thermodynamics states that the entropy of a perfect crystal approaches zero as the temperature approaches absolute zero. It sets a reference point for entropy.

Real-world uses

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Frequently asked questions

Can we reach absolute zero?

No. Cooling becomes increasingly difficult, and the third law prevents reaching exactly zero.

Is entropy zero at absolute zero?

For a perfect crystal, yes, since there is only one microstate.

Can I reach absolute zero?

No. The third law means you can approach it as closely as you like, but not reach it exactly.

Related topics in Heat & Thermodynamics

Entropy change · Statistical entropy · Free energy · Maxwell relations · Clausius–Clapeyron equation · Joule–Thomson effect

← All Heat & Thermodynamics topics