. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. THERMODYNAMICAL SYSTEM OF GIBBS 155 represent a phase having energy e, entropy 77 and volume v (Fig. 6), The points representing adjacent phases form a surface. Let E be a point on this surface, representing a phase having the energy e + Ae, entropy rj -{- Arj and volume v + Fig. 6 If the tangent plane to the surface through the point D, cuts the vertical line through E at E', the ordinate of the point E' is de de e + — At? + — Av. ay] dv Since dr] t, dv P, the vertica
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. THERMODYNAMICAL SYSTEM OF GIBBS 155 represent a phase having energy e, entropy 77 and volume v (Fig. 6), The points representing adjacent phases form a surface. Let E be a point on this surface, representing a phase having the energy e + Ae, entropy rj -{- Arj and volume v + Fig. 6 If the tangent plane to the surface through the point D, cuts the vertical line through E at E', the ordinate of the point E' is de de e + — At? + — Av. ay] dv Since dr] t, dv P, the vertical distance EE' is thus equal to Ae — /A77 + pAv. Thus, (210) is positive when the e, 77, v surface for adjacent phases lies above the tangent plane, taken at the point repre- senting the phase in question. Any phase for which this holds true is stable with respect to continuous Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Donnan, F. G. (Frederick George), 1870-1956; Haas, Arthur Erich, 1884-1941. New Haven, Yale University Press; London, H. Milford, Oxford University Press
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