. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. THERMODYNAMICAL SYSTEM OF GIBBS 127 (c) Lowering of the Vapor Pressure of the Solvent by an Tnvolatile Solute. Consider a mass of the solution in equilibrium with the vapor, in which the quantity of the solute is in- appreciable. At constant temperature we have, for a variation of the solution, dp = 0 + ^ ⢠(^/xi' + 7- ⢠dn^', (145) and for a variation of the vapor m/ dp = 0 + -jj- â dm (146) In order to preserve equiHbrium, dm' = dm", so that, sub- stituting the val
. A commentary on the scientific writings of J. Willard Gibbs. Gibbs, Joniah Willard, 1839-1908; Science; Thermodynamics. THERMODYNAMICAL SYSTEM OF GIBBS 127 (c) Lowering of the Vapor Pressure of the Solvent by an Tnvolatile Solute. Consider a mass of the solution in equilibrium with the vapor, in which the quantity of the solute is in- appreciable. At constant temperature we have, for a variation of the solution, dp = 0 + ^ ⢠(^/xi' + 7- ⢠dn^', (145) and for a variation of the vapor m/ dp = 0 + -jj- â dm (146) In order to preserve equiHbrium, dm' = dm", so that, sub- stituting the value of dm given by (146) in (145) and putting W2' , At m and writing 7" = ^^' mi // = 71 etc., we obtain or At dp = ~, dp + j^^ dy2, 7i 71' â dp = Thus, by integration, 7i // At 71' - 71" M2^^^ ^72'. 7i' At Po-P = :;T3^-]^)-72, (147) (148) where po is the value of p when 72' = 0. Since 71" is small in comparison with 7/, we may write, approximately. Po - p = 7i n At 71' M2(^> 72. 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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