P

Phase Rule

F = C - P + 2
Quick Reference
Formula / NotationF = C - P + 2
Also Known AsGibbs phase rule, Gibbs's phase rule, phase equilibrium rule

What is Phase Rule?

The Phase Rule (Gibbs Phase Rule) is a relationship that gives the number of degrees of freedom (F) in a thermodynamic system at equilibrium, based on the number of components (C) and phases (P): F = C − P + 2. The degrees of freedom are the number of intensive variables (temperature, pressure, composition) that can be changed independently without altering the number of phases in equilibrium.

Formula & Notation

F = C - P + 2

Other Names / Synonyms: Gibbs phase rule, Gibbs's phase rule, phase equilibrium rule

Properties & Characteristics

F = C − P + 2 (Gibbs phase rule). F = degrees of freedom (variance). C = number of components. P = number of phases. +2 accounts for T and P variables. For pure water (C=1): at triple point (P=3), F=0 (invariant); on phase boundaries (P=2), F=1 (univariant); single phase (P=1), F=2 (bivariant).

Uses & Applications

Phase diagram construction and interpretation. Chemical engineering process design. Metallurgy (alloy phase diagrams). Ceramic processing. Pharmaceutical solid form control (polymorphs). Understanding triple points and critical points. Geochemistry.

Safety Information

Theoretical rule — no direct safety concerns.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Phase Rule
Formula F = C - P + 2
Synonyms Gibbs phase rule, Gibbs's phase rule, phase equilibrium rule

Frequently Asked Questions

The Phase Rule (Gibbs Phase Rule) is a relationship that gives the number of degrees of freedom (F) in a thermodynamic system at equilibrium, based on the number of components (C) and phases (P): F = C − P + 2. The degrees of freedom are the number of intensive variables (temperature, pressure, composition) that can be changed independently without altering the number of phases in equilibrium.

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