Pure species phase equilibrium Clapeyron equation

VAPOR PRESSURE, THE CLAPEYRON EQUATION, AND SINGLE PURE CHEMICAL SPECIES PHASE EQUILIBRIUM... 

The Clapeyron equation, derived in Sec. 6.4 for the latent heat of phase transition of pure chemical species, is also applicable to pnre-gas adsorption eqnilibrinm. Here, however, the two-phase equilibrium pressure depends not only on temperature, but on surface coverage or the amount adsorbed. Thus the analogous equation for adsorption is written... 

The Clapeyron equation is rigorous and exact. It applies not only to gas-liquid equilibrium, but to any two-phase equilibrium of a pure species (e.g., liquid-solid, gas-solid) or change between two different crystal forms (e.g., graphite to diamonds, see Example 4.2). By adding some simplifications, we find the Clausius-Clapeyron (C-C) equation, which is only approximate but is a surprisingly good approximation of observed behavior for gas-liquid and gas-solid equilibria (vapor pressures) of single pure species. 

Apply the fundamental property relation for Gibbs energy and other tools of the thermodynamic web to predict how the pressure of a pure species in phase equilibrium changes with temperature and how other properties change in relation to one another. Write the Clapeyron equation and use it to relate Tand Pfor a pure species in phase equilibrium. Derive the Clausius-Clapeyron equation for vapor-liquid mixtures, and state the assumptions used. Relate the Clausius-Clapeyron equation to the Antoine equation. 

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