The Elements of Qualitative Chemical Analysis, vol. 1, parts 1 and 2.: With Special Consideration of the Application of the Laws of Equilibrium and of the Modern Theories of Solution.Stieglitz, Julius
Science
The Elements of Qualitative Chemical Analysis, vol. 1, parts 1 and 2.: With Special Consideration of the Application of the Laws of Equilibrium and of the Modern Theories of Solution.
Stieglitz, Julius
Chemistry, Analytic -- Qualitative
[528] In other words, the greater the concentration of cupric-ion,
the greater its osmotic pressure must be, and the repelling
electric force, required to overcome the pressure of the
cupric-ion, would be correspondingly greater.
[529] ‹Cf.› Nernst, ‹Theoretical Chemistry› (1904), pp. 720–723, in
regard to the derivation and the general form of his formula.
[530] For elements that form ‹negative ions›, ‹e.g.› for chlorine,
bromine, oxygen, etc., the ‹equation reads› (see pp. 273, 275 and
the table at the end of Chapter XV):
ε_{Elem., Electrolyte} = −(0.0575 / ‹v›) log(C / K).
Note the ‹changed› sign of the expression on the right. The
difference in sign expresses the fact that, when negative ions
discharge on an electrode, they render it negative, and when they
are formed by an electrode, they leave the latter positive; for
positive ions, it will be recalled, the conditions are just the
‹reverse› (see above).
Where a ‹soluble› element (‹e.g.› chlorine) or a solution of
a metal (‹e.g.› sodium amalgam) is used as an electrode, its
concentration, in general, is not constant, as in the case of
a pure, solid metal like copper (p. 258). In such cases, the
quantity in the denominator of the ratio in the logarithm cannot
be expressed by a constant K, but is expressed by K × C_{Element},
C_{Element} being used to indicate the concentration of the element
in the experiment in question.
[531] The convention, adopted in the text, for the use of the
positive and negative signs in expressing potentials, is that
proposed by Luther (‹cf.› Le Blanc's ‹Lehrbuch der Elektrochemie›
(third edition), p. 212). The ‹sign› always ‹denotes› the character
of the ‹charge› on the ‹first component› written in the subscript
to ε. Thus, for a copper plate in contact with a solution of
cupric sulphate, when C > K, the logarithm, log(C / K), has
a ‹positive› value and ε_{Cu, CuSO_{4}} is ‹positive›, which
means that the ‹metal› will be ‹positive›, the electrolyte
negative. For instance, for [Cu^{2+}] = 1, ε_{Cu, CuSO_{4}} is
found to be +0.606 (see the table at the end of Chapter XV).
ε_{Cu, CuSO_{4}} = −ε_{CuSO_{4}, Cu′}. By this use of the signs
one is never in doubt as to their meaning. Unfortunately, widely
different definitions of the signs have been used (‹cf.› Le
Blanc, ‹Electrochemistry› (1896), pp. 209, 219, and Lehfeldt,
‹Electro-Chemistry› (1904), p. 159). Care must be taken, in using
the data of original papers, to be informed as to the definition
used.
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