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The 80 pages that link to Entropy, each with the reason it gives.

• Perpetual motionRelated: Irreversible dissipation prevents real machines from recovering all input energy as work.

• Hess's lawRelated: Entropy changes also depend only on endpoints, but do not add as reaction enthalpies.

• Nernst heat theoremNarrower topic: The theorem is specifically about how entropy differences behave near absolute zero.

• Constantin CarathéodoryRelated: His thermodynamic axioms derive entropy from the structure of adiabatic accessibility.

• Fundamental thermodynamic relationRelated: Its differential is weighted by temperature in the energy relation.

• Boltzmann's entropy formulaRelated: Boltzmann's formula gives a microscopic interpretation of this thermodynamic quantity.

• Clausius theoremRelated: Clausius introduced entropy through the reversible form of the theorem.

• Discrete uniform distributionRelated: Among distributions on a fixed finite support, uniformity maximizes Shannon entropy.

• Gibbs–Helmholtz equationRelated: Its contribution to Gibbs energy makes the temperature derivative yield enthalpy.

• Isentropic processNarrower topic: An isentropic process is defined by entropy remaining unchanged.

• ThermochemistryCompared with: Enthalpy alone cannot determine whether a process is thermodynamically spontaneous.

• Big HistoryRelated: Local complexity develops within a universe whose overall entropy increases.

• Entropy of activationNarrower topic: Activation entropy compares this quantity across reactants and the transition state.

• Entropy of mixingNarrower topic: Mixing entropy is one specific entropy change defined between separated and mixed states.

• Intensive and extensive propertiesRelated: Entropy is extensive for ordinary macroscopic systems and helps define equilibrium.

• Karamata's inequalityRelated: Majorization orders probability distributions by concentration, yielding comparisons of Shannon entropy.

• Lord KelvinRelated: Kelvin’s work helped establish the second law’s connection between heat and irreversibility.

• Nicholas Georgescu-RoegenRelated: Georgescu-Roegen made entropy central to explaining why production irreversibly degrades resources.

• William John Macquorn RankineRelated: Rankine developed an early account of thermodynamic functions related to what later became entropy.

• History of thermodynamicsRelated: Its rise from a mathematical measure of engine inefficiency to a general state function shaped the second law.

• Thermodynamic free energyRelated: Its contribution sets how much energy is unavailable for work at a given temperature.

• Carnot heat engineRelated: Reversibility requires no net entropy production across the engine and reservoirs.

• Entropy as an arrow of timeNarrower topic: Its physical meaning underlies the claim that time has a thermodynamic direction.

• Heat pump and refrigeration cycleRelated: Entropy balances reveal where real components generate irreversibility and lose performance.

• Laws of thermodynamicsRelated: The second and third laws govern entropy’s change and limiting value.

• TimeRelated: Increasing entropy helps explain why many macroscopic processes have a preferred direction.

• Timeline of the far futureRelated: The growth of entropy underlies predictions of a universe with diminishing usable energy.

• Trouton's ruleNarrower topic: The rule concerns a particular entropy change during liquid-to-vapor conversion.

• Ultimate fate of the universeNarrower topic: Its growth constrains whether the far future can retain usable energy and structure.

• William GiauqueRelated: Magnetic cooling works by changing the entropy associated with aligned magnetic moments.