# Phase Equilibrium: Conditions for Equilibrium (CfE)

### Phase Diagrams: Conditions for Equilibrium (CfE)

• Write down the conditions for equilibrium for: a pure single phase system, a pure multi-phase system, and a multi-phase mixture
• Explain how energetic and entropic effects balance at equilibrium
• Use the Clapeyron equation and/or the Clausius-Clapeyron equation to relate T and P for pure species phase equilibrium
• Use the Antoine equation to relate T and P for pure species phase equilibrium
• Explain the relationship between the Clausius-Clapeyron equation and the Antoine equation
• Write exact differentials for extensive properties in terms of m+2 independent variables for mixtures of m species
• Define and explain the difference between the terms: pure species property, total solution property, and partial molar property
• Calculate total solution properties from partial molar properties
• Calculate partial molar properties
• using graphical methods
• using equations of state
• using the Gibbs-Duhem equation
• Explain the origin of enthalpy, entropy, and volume changes due to mixing
• Calculate the enthalpy of solution from the enthalpy of mixing and vice versa
• Explain why the chemical potential is the relevant property for determining solution equilibrium