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Szyszkowski equation
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Szyszkowski equation : ウィキペディア英語版
Szyszkowski equation
The Szyskowski Equation〔B. von Szyszkowski, Z. physik. Chemie, 64, 385 (1908)〕 has been used by Meissner and Michaels〔H.P. Meissner, A.S. Michaels, Surface Tension s of Pure Liquids and Liquid Mixtures", Ind. Eng. Chem., 41(12), 2782, (1949)〕 to describe the decrease in surface tension of aqueous solutions of carboxylic acids, alcohols and esters at varying mole fractions. It describes the exponential decrease of the surface tension at low concentrations reasonably but should be used only at concentrations below 1 mole%.〔Bruce E. Poling, John M. Prausnitz, John P. O’Connell, The Properties of Gases and Liquids, 5th Edition〕
== Equation ==
:\sigma_m =\sigma_w\left(1-0.411\log\left(1+\frac\right)\right)
with:
m is surface tension of the mixture
w is surface tension of pure water
*''a'' is component specific constant (see table below)
*x is mole fraction of the solvated component
The equation can be rearranged to be explicit in ''a'':
:\begin
a&=\frac-1}\right)}}\\
&=x10^-1}\right)}
\end
This allows the direct calculation of that component specific parameter ''a'' from experimental data.
The equation can also be written as:
:\gamma=\gamma_0-\frac\ln(1+K_c)
with:
*γ is surface tension of the mixture
0 is surface tension of pure water
*R is ideal gas constant 8.31 J/(mol
*K)
*T is temperature in K
*ω is cross-sectional area of the surfactant molecules at the surface
The surface tension of pure water is dependent on temperature. At room temperature (298 K), it is equal to 71.97 mN/m 〔NIST Chemistry WebBook http://webbook.nist.gov/chemistry/〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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