Thermodynamics of TmRhO3, Phase Equilibria, and Chemical Potentials in the System Tm–Rh–O

2012 ◽  
Vol 57 (12) ◽  
pp. 3677-3684 ◽  
Author(s):  
Kallarackel T. Jacob ◽  
Karuna Agarwal ◽  
Preeti Gupta
Keyword(s):  
Phase Equilibria ◽  
Chemical Potentials

Phase equilibria

2018 ◽  
Author(s):  
Dennis Sherwood ◽  
Paul Dalby
Keyword(s):  
Phase Equilibria ◽  
Gas Phase ◽  
Unique Feature ◽  
Ideal Gas ◽  
Free Energies ◽  
Van Der Waals Gas ◽  
Rigorous Analysis ◽  
Chemical Potentials ◽  
Ideal Gases ◽  
Maxwell Construction

This chapter extends the discussion of gas phase equilibria to phase equilibria. The central concept is the vapour pressure, and the key proof is that the criterion for phase equilibrium is the equality of the molar Gibbs free energies, or chemical potentials, of each phase. This then leads to the Clapeyron and Clausius-Clapeyron equations. A notable feature of this chapter is the discussion of non-ideal gases, answering the question “Given that, by definition, an ideal gas can never liquefy, what is it about a real gas that enables the gas to change phase into a liquid?”. A unique feature of this discussion is the rigorous analysis of the Gibbs free energy of a van der Waals gas under compression, and the proof of the ‘Maxwell construction’.

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