Physical Chemistry Phase Equilibria

The thermodynamics of transition

Topic overview

Start with the big picture

At a phase boundary, coexisting phases have equal chemical potentials, and the Gibbs energy change for the transition is zero. Enthalpy and entropy changes describe first-order transitions, while the Clapeyron equation relates the slope of a phase boundary to those changes and the volume difference. For vaporization, the Clausius–Clapeyron form links vapor pressure with temperature. The topic also distinguishes triple and critical points, compares first- and second-order transitions, and uses Gibbs energy curves to identify stable phases. Metastability and solid-solution equilibria extend the discussion to situations where kinetic barriers or mixing affect phase behavior.

Learning objectives

What you'll learn

  • Explain the chemical-potential and Gibbs-energy criteria for phase equilibrium.
  • Relate transition enthalpy, entropy, and volume changes through the Clapeyron equation.
  • Interpret the Clausius–Clapeyron relationship for vaporization.
  • Distinguish first-order and second-order transitions, triple points, and critical points.
  • Use Gibbs energy and phase-rule concepts to describe stability and phase behavior.
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