Physics › Section J · Thermodynamics › Topic J.6

Entropy and its statistical meaning

Ice melts in a warm drink, but a lukewarm drink never sorts itself into ice and hot liquid. Entropy is the quantity that captures this one-way behaviour, and counting the microscopic arrangements of a system shows why it almost always increases.

In this topic

  • A new quantity for the second law
  • Defining a change in entropy
  • Worked example: melting ice
  • Entropy is a state function
  • Worked example: heat flowing downhill
  • The second law in entropy form
  • Entropy and energy that can no longer do work
  • Worked example: counting coin arrangements
  • Why the second law is about probability
  • Boltzmann's formula
  • Common mistakes to avoid
  • Key takeaways

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