Integral free energy

In such a binary solution, the chemical potential of the solute and that of the solvent A/xg are related to the integral free energy of formation of the solution, AG per mole, containing a mole fraction Xp, of component A, and for component B, by the expression... 

The Integrated Path-Integral Free-Energy Perturbation and Umbrella-Sampling (PI-FEP/UM) Method... 

The change in Gxt may be evaluated by integration of Equation 12. It bears an interesting relation to the difference between the integral free energy change of... 

The integral heat of adsorption is the difference between the heat of immersion of the clean adsorbent and the heat of immersion of the adsorbent, with n2 moles of X2 adsorbed upon it. This calorimetric heat of adsorption is to be compared with the heat of adsorption calculated from the temperature coefficient of the integral free energy change by Equation 6. 

The integral free energy is determined from an adsorption isotherm by Equation 1-6. In practice it is sometimes simpler to determine the partial molal... 

Free Energy Change. The integral free energy change for the process... 

Figure 6. Comparison of experimentai AGs/n, integral free energy changes per moie of water absorbed in hair, with theoretical values (0) from Equation 12 Cn) from Equation 11 (0) experimental...

The integral free energy changes, calculated on the basis of equations (11) and (12) together with the experimental values, per mole of bound water, are given in Figure 6. 

Adsorption isotherms were obtained for most of the samples shown in Figure 1 and the integral free energies of adsorption were calculated. The entropies of adsorption were obtained by difference. All these thermodynamic parameters are tabulated in Table I. If the amorphous character of the surface has a direct correlation with the particle size, the entropies of adsorption of the adsorbate molecules would be expected to bear some relation to the underlying periodic structure of the adsorbent. In particular, large entropies of adsorption would be expected for crystalline samples and relatively small entropies of adsorption for the supposedly amorphous substrates. That this relationship is observed is clear from the integral entropies of adsorption listed in Table I. 

---