Byeong-Joo Lee Byeong-Joo Lee POSTECH - MSE Phase Equilibria in a Single- Component System.

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Presentation transcript:

Byeong-Joo Lee Byeong-Joo Lee POSTECH - MSE Phase Equilibria in a Single- Component System

Byeong-Joo Lee Phase Diagram for H 2 O

Byeong-Joo Lee Phase Diagram for Fe

Byeong-Joo Lee Phase Diagram for Fe

Byeong-Joo Lee Equilibrium Thermal, Mechanical and Chemical Equilibrium Concept of Chemical Potential In a one component system, Temperature and Pressure dependence of Gibbs free energy

Byeong-Joo Lee Temperature Dependence of Gibbs Energy

Byeong-Joo Lee Temperature Dependence of Gibbs Energy - for H 2 O

Byeong-Joo Lee Temperature & Pressure Dependence of Gibbs Energy Clausius-Clapeyron equation For equilibrium between the vapor phase and a condensed phase constant

Byeong-Joo Lee for S/L equilibrium Phase Diagram - for H 2 O

Byeong-Joo Lee Equilibrium vapor pressures vs. Temperature

Byeong-Joo Lee Equilibrium vapor pressures vs. Temperature

Byeong-Joo Lee Gibbs Phase Rule Degree of Freedom number of variables which can be independently varied without upsetting the equilibrium F = p(1+c) – (p-1)(2+c) = c – p + 2

Byeong-Joo Lee Example - Phase Transformation of Graphite to Diamond Calculate graphite→diamond transformation pressure at 298 K, given H 298,gra – H 298,dia = J S 298,gra = 5.74 J/K S 298,dia = 2.37 J/K density of graphite at 298 K = 2.22 g/cm 3 density of diamond at 298 K = g/cm 3