debye–hückel equation wikipedia - EAS

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  1. Debye–Hückel theory – Wikipedia The result has the form of the Helmholtz equation. This equation applies to electrolytes with equal numbers of ions of each charge.
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    What is the Debye Hückel equation?
    which also is known as the Debye–Hückel equation: The second term on the right-hand side vanishes for systems that are electrically neutral. The term in parentheses divided by that commonly is referred to as the Debye–Hückel length.
    en.wikipedia.org/wiki/Debye_length
    What is the Debye-Hückel law?
    The Debye–Hückel limiting law enables one to determine the activity coefficient of an ion in a dilute solution of known ionic strength. The equation is [1] : section 2.5.2 is a constant that depends on temperature. If at 25 °C.
    en.wikipedia.org/wiki/debye%e2%80%93h%c3%bcckel_eq…
    Does activity coefficient increase with ionic strength in Debye Hückel equation?
    In these solutions the activity coefficient may actually increase with ionic strength. The Debye–Hückel equation cannot be used in the solutions of surfactants where the presence of micelles influences on the electrochemical properties of the system (even rough judgement overestimates γ for ~50%).
    en.wikipedia.org/wiki/debye%e2%80%93h%c3%bcckel_eq…
    What are the limitations of Debye Hückel theory?
    Ion–solvent interactions are ignored in Debye–Hückel theory. Moreover, ionic radius is assumed to be negligible, but at higher concentrations, the ionic radius becomes comparable to the radius of the ionic atmosphere . Most extensions to Debye–Hückel theory are empirical in nature.
    en.wikipedia.org/wiki/Debye%E2%80%93H%C3%BCckel_th…
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    https://en.wikipedia.org/wiki/Debye–Hückel_equation

    In order to calculate the activity $${\displaystyle a_{C}}$$ of an ion C in a solution, one must know the concentration and the activity coefficient: $${\displaystyle a_{C}=\gamma {\frac {[C]}{[C^{\ominus }]}},}$$ where $${\displaystyle \gamma }$$ is the activity coefficient of C, $${\displaystyle

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    The chemists Peter Debye and Erich Hückel noticed that solutions that contain ionic solutes do not behave ideally even at very low concentrations. So, while the concentration of the solutes is fundamental to the

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    The English title of the article is "On the Theory of Electrolytes. I. Freezing Point Depression and Related Phenomena". It was originally published in 1923 in volume 24 of a German-language

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    The differential equation is ready for solution (as stated above, the equation only holds for low concentrations):
    Using the Buckingham π theorem on this problem results in the following dimensionless groups:
    is called the reduced

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    To verify the validity of the Debye–Hückel theory, many experimental ways have been tried, measuring the activity coefficients: the problem is that we need to go towards very high dilutions. Typical examples are: measurements of vapour pressure, freezing point,

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    1. ^
    2. ^ The Collected Papers of Peter J. W. Debye. New York, New York: Interscience Publishers, Inc. 1954.
    3. ^ P. Debye and E. Hückel (1923). "Zur Theorie der Elektrolyte. I. Gefrierpunktserniedrigung und verwandte Erscheinungen". Physikalische Zeitschrift.

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    A number of approaches have been proposed to extend the validity of the law to concentration ranges as commonly encountered in chemistry

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  4. https://en.wikipedia.org/wiki/Debye–Hückel_theory

    The Debye–Hückel theory was proposed by Peter Debye and Erich Hückel as a theoretical explanation for departures from ideality in solutions of electrolytes and plasmas. It is a linearized Poisson–Boltzmann model, which assumes an extremely simplified model of electrolyte solution but nevertheless gave accurate predictions of mean activity coefficients for ions in dilute solution. The Debye–Hückel equationprovides a starting point for modern treatments of non-ideality of el…

  5. https://en.wikipedia.org/wiki/Talk:Debye–Hückel_equation
    • The unit for A is said to be kg^1/2 * mol^-1/2 but a simple unit analysis will show that it is incompatible with the equation given (which yields m * mol^-1/2).The reference is for the 1998 book of Hamann and Hamnett which I do not own, however the second edition from 2007 does not give this equation explicitly. — Preceding unsigned comment added by Bjodah (talk • contrib…
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    • https://en.wikipedia.org/wiki/Debye_length

      which also is known as the Debye–Hückel equation: The second term on the right-hand side vanishes for systems that are electrically neutral. The term in parentheses divided by , has the units of an inverse length squared and by dimensional analysis leads to the definition of the characteristic length scale

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      • משוואת Debye - Hückel - Debye–Hückel equation - Wikipedia

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      • Chemistry:Debye–Hückel equation - HandWiki

        https://handwiki.org/wiki/Chemistry:Debye–Hückel_equation

        Nov 13, 2021 · The Debye–Hückel limiting law enables one to determine the activity coefficient of an ion in a dilute solution of known ionic strength. The equation is [1] ln. ⁡. ( γ i) = − z i 2 q 2 κ 8 π ε r ε 0 k B T = − z i 2 q 3 N A 1 / 2 4 π ( ε r ε 0 k B T) 3 / 2 10 3 I 2 = − A z i 2 I, where.



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