Transformed integral molar enthalpy

Then, from Equation (2.40), the transformed integral molar enthalpy of adsorption is obtained ... 

This equation, which gives the transformed integral molar enthalpy of adsorption for the adsorption equilibrium characterized by the variables T and t (or n), must not be confused with Equation (2.68), which gives the differential enthalpy of adsorption. Indeed, by combining Equations (2.31), (2.44), (2.56) and (2.63) we obtain the... 

In Fig. 8.2, leftdown the ordinary plot of the reduced pressure p against the reduced volume p is shown. Left up of the integral shows the molar reduced Helmholtz energy or some kind of chemical potential. The Legendre transformation of this function is the molar reduced Gibbs enthalpy, or the reduced chemical potential as function of temperature and pressure. Recalling that... 

For changes of state at constant composition, we need Cj, and the volumetric equation of state to be able to integrate (3.5.11) and (3.5.13) for Ali and AS. With values for AU and AS, we can then apply the defining Legendre transforms (3.2.9) for H, (3.2.11) for A, and (3.2.13) for G to obtain changes in the other conceptuals. If the change of state includes a change in composition, then we will also need values for the partial molar volume, enthalpy, and entropy as shown in 3.4.3, these partial molar quantities are simply related to the chemical potential. 

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