Solution, athermal quantities

Evaluate ASj for ideal solutions and for athermal solutions of polymers having n values of 50, 100, and 500 by solving Eqs. (8.28) and (8.38) at regular intervals of mole fraction. Compare these calculated quantities by preparing a suitable plot of the results. 

These solutions exhibit also a partially ideal behaviour and have specific thermodynamic properties. The excess functions, represented by the enthalpy of mixing and the excess quantities derived from it, are zero and justify considering these solutions as being almost ideal. Thus, the athermal solutions fulfil the following group of major conditions ... 

The systematic study of athermal solutions was initiated by Fowler and Eushbrooke [40] who proposed the lattice model as the only one capable of providing the quantitative and explicit formulas for thermodynamic quantities, proving at the same time that, in contrast to previous assumptions, the athermal mixtures are not ideal. The entropy of mixing of these systems is not ideal. 

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