2017
DOI: 10.1016/j.cis.2017.07.018
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Applicability of the Gibbs Adsorption Isotherm to the analysis of experimental surface-tension data for ionic and nonionic surfactants

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Cited by 74 publications
(49 citation statements)
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“…A min is the average area occupied by a single surfactant molecule at the air–water interface. It has been reported that Γ max and A min were calculated via the following Gibbs adsorption isotherm eqs 2 and 3 ( 36 ) and are listed in Table 2 where R is the universal gas constant, T is the absolute temperature, dγ/dlog C is the slope of γ versus log C profile in the steeper region, A min is in nm 2 , and N A is the Avogadro’s number. The results in Table 2 reveal that CT-Cu has a high Γ max value compared to CT-Zn and CT-Mn as CT-Cu molecules tend to adsorb on the surface and then form micelles directly at low concentration.…”
Section: Resultsmentioning
confidence: 99%
“…A min is the average area occupied by a single surfactant molecule at the air–water interface. It has been reported that Γ max and A min were calculated via the following Gibbs adsorption isotherm eqs 2 and 3 ( 36 ) and are listed in Table 2 where R is the universal gas constant, T is the absolute temperature, dγ/dlog C is the slope of γ versus log C profile in the steeper region, A min is in nm 2 , and N A is the Avogadro’s number. The results in Table 2 reveal that CT-Cu has a high Γ max value compared to CT-Zn and CT-Mn as CT-Cu molecules tend to adsorb on the surface and then form micelles directly at low concentration.…”
Section: Resultsmentioning
confidence: 99%
“…Gibbs derived a thermodynamic relationship between the concentration c and the surface excess Γ (adsorption per unit area). At constant temperature T , in the presence of adsorption, the Gibbs adsorption isotherm [ 69,70 ] is Γ=cRTγc where R is the universal gas constant and γ is the surface tension. In a chemical reaction, the surface excess is usually evaluated on the basis of the Langmuir adsorption model, [ 71–73 ] which has the form of Γ=normalΓnormalsαc1+αc where Γ s saturated adsorption and α the Langmuir constant.…”
Section: Methodsmentioning
confidence: 99%
“…Equation 20 is an equation of state for the interface. It indicates that the cation exchange is driven by the reduction of interfacial tension, which is commonly observed for the adsorption of surfactants to the liquid-gas interface [21][22][23].…”
Section: Equation Of State For the Interfacementioning
confidence: 99%