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TheoremProved

The second law of thermodynamics

Statement

The entropy of an isolated system never decreases over time; heat does not spontaneously flow from a colder body to a hotter one without external work.

Why is it true?

This law explains why natural processes have a definite direction (time has an 'arrow'): although energy is always conserved (the first law), not every energy-conserving process actually occurs in nature.

Two gas reservoirs in thermal contact: heat flows from hot to cold, never the reverse; track total entropy rising toward equilibrium.

Stated by

Topics that use this theorem

Step-by-step proofs

No step-by-step proof yet for this theorem.

References

  1. Rudolf Clausius (1850). The Mechanical Theory of Heat