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The 26 pages that link to State function, each with the reason it gives.
Equation of stateRelated: Equations of state relate state variables rather than describing a process path.
EntropyNarrower topic: Entropy change depends on endpoints even when the actual process is irreversible.
Gibbs free energyNarrower topic: Gibbs free energy is a state function, so its change depends only on endpoints.
First law of thermodynamicsNarrower topic: Internal energy is a state function, so its change depends only on endpoints.
Second law of thermodynamicsRelated: Entropy is a state function, allowing its change to be compared across different processes.
EnthalpyNarrower topic: Enthalpy’s path independence distinguishes it from heat and work.
Heat capacityNarrower topic: Heat capacity is defined from changes between states, with the process constraint specified.
Joule–Thomson effectRelated: Enthalpy is a state function, so its inlet and outlet values can be compared.
Reversible processNarrower topic: State functions make endpoint comparisons possible even when reversible and irreversible paths differ.
Thermodynamic stateRelated: It assigns the same value whenever the system returns to the same state.
Clausius–Clapeyron relationNarrower topic: Entropy and volume changes are state differences, making the relation independent of transition path.
Thermodynamic cycleRelated: Internal energy returns to its initial value when a cycle closes, regardless of its path.
Isothermal processRelated: Internal energy is a state function even when heat and work depend on the path.
Thermodynamic potentialNarrower topic: Thermodynamic potentials are state functions, unlike heat and work.
Free energyNarrower topic: Free energy is determined by the system's state, allowing changes to be calculated from endpoints.
State variableRelated: State variables are commonly treated as coordinates or values of state functions.
Thermodynamic processRelated: State functions distinguish endpoint changes from path-dependent quantities.
Maxwell relationsNarrower topic: The relations apply to derivatives of state functions rather than arbitrary path-dependent quantities.
Hess's lawNarrower topic: Its path independence is the thermodynamic basis of Hess's law.
Fundamental thermodynamic relationNarrower topic: Internal energy and entropy are state functions, so their differentials describe state changes.
Clausius theoremRelated: The cycle integral motivates entropy’s state-function status.
Gibbs–Helmholtz equationNarrower topic: The equation relates state functions rather than process-dependent heat or work.
Endothermic processNarrower topic: Enthalpy change is path-independent even when the process’s heat transfer depends on conditions.
Exothermic processRelated: Enthalpy is a state function, while heat itself depends on the process path.
Germain Henri HessRelated: The path independence of enthalpy explains the mathematical basis of Hess’s law.
State (condition)Related: It is a mathematical property of states, distinct from the state being described.