Advances in Chemical Physics, Volume 9 by I. Prigogine, Stuart A. Rice

By I. Prigogine, Stuart A. Rice

The Advances in Chemical Physics sequence presents the chemical physics and actual chemistry fields with a discussion board for severe, authoritative reviews of advances in each quarter of the self-discipline. choked with state-of-the-art learn said in a cohesive demeanour no longer came across in other places within the literature, every one quantity of the Advances in Chemical Physics sequence serves because the ideal complement to any complex graduate category dedicated to the examine of chemical physics

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Introducing Eqs. (125) and (126) into Eq. (127) and making use of Eq. (129) we can evaluate the remaining coefficients K O ,K,, and K,. The results for all the coefficients are -In (1 - ( r y) 4-2 1--y I') -. rpa3 6 SCALED I'AKTICLE 1IETHOI)S I N FLUIDS 47 where we have used the reduced concentration y = kna3p (132) Employing these coefficients in Eq. (126) and comparing it with Eq. (1'28) we obtain 8 -= 1 The quantity K O is associated with the work of introducing the point molecule. This work, which is obtained by replacing r in (125) by a/2, has no counterpart in macroscopic considerations, and therefore K Ohas not been discussed in that context.

We T A B L E 1 I . Calciilaterl and Obscrvcd Surface Tensions of Molten Salts . - _ - . (', Molten salt .. , "C - NaCl SaI3r XaI K C1 Kl3r 1i1 ItbCI ltbUr ItbI - .. 900 700 900 so0 800 8% 83 1 572 S26 830 CSCl (kUr SO8 C SI 82 I UaCI, CdCI, HgCI, 1 Igl3r, 1000 600 HiC1, I'iHr, 27 1 28 1 - . -. - - . .. . - -. S9h 81" 7211 96" 78" 7 2)) 6 9 157j 8 3 561 152 59 36 37 65l - 66" 52 47 64b - - . - -. 0991' . 5541) - -. ncalc. Gobs. 98? 113h 293 21 1 .. 3 1 5 r 1000 CSZ? - I)ensity," g/cnis . cquilibriu 111 ..

In an elegant paperI4 he accomplished this solution and found that the equation of state derived from it was precisely (77). Thus the Percus-Yevick theory and the scaled particle theory yield identical results, at least for the case of hard spheres. As we mentioned in Section I, this is the first time that two separate non-heuristic theories of fluids have yielded identical analytical results. Furthermore, with the exception of the cluster theory,l which is designed specifically to yield the virial coefficients, both theories yield the best values of these coefficients which have been provided by any treatment of dense fluids.

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