By S. J. Gregg
The central objective of the second one version of this e-book is still just like that of the 1st version: to provide a serious exposition of using the adsorption tools for the evaluation of the skin and pore measurement distribution of finely divided and porous solids.
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Additional info for Adsorption, Surface Area, & Porosity, Second Edition
No matter how complex the series of states may become, or how involved a function of volume fe may become, the relation of E to fe and of Se to fe remains, and hence the relation of Se to E. Therefore, in a differentiation at constant volume the value of 88/8 T remains CJT. Put rather crudely, complex interactions have the same effect on GJT as they do on 88/dT. Thus the key relation holds good. 42 MOLECULAR CHAOS AND ENTROPY Conditions of equilibrium in molecular systems At first sight it might appear that the conception of a molecular chaos, though picturesque and affording the opportunity for some ingenious calculations, could hardly bear fruit of a very substantial kind.
The series is in fact a discrete one, the laws in question are those of the quantum theory, and the applications of the knowledge which they bring are indeed extensive, as will appear. To obtain the equipartition law in the form which gave, apart 48 MOLECULAR CHAOS ANT) ENTROPY from the mystery of the missing degrees of freedom, the correct form for the specific heat, the finite and discrete spacing of the energy levels had to be given a particular character. The series corresponded not to equal increments of energy but to equal increments of momentum.
Two rotational degrees of freedom would, however, be expected for the two other rectangular axes, making five degrees of freedom in all. These would account for a specific heat of (5/2)R calories per gram molecule. Once again the estimated value is exactly right. An unstable diatomic molecule, such as iodine, should perhaps be capable of vibration along the axis joining the two atoms, and there would then be an addition to the specific heat of \R for the kinetic energy of this motion and (according to the properties of simple harmonic motion) of an equal amount for the potential energy.
Adsorption, Surface Area, & Porosity, Second Edition by S. J. Gregg