• 제목/요약/키워드: equilibrium constant${\Delta}G^{\ast}_{mic}$

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몰농도 또는 몰분율로 표시되는 임계 미셀 농도와 열역학적 포텐셜과의 관계 (Critical Micelle Concentration Expressed in Molarity or Mole Fraction and Its Relation to Thermodynamic Potentials)

  • 김홍운;임경희
    • 한국응용과학기술학회지
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    • 제18권4호
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    • pp.325-331
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    • 2001
  • The critical micelle concentration (CMC) at which micelles start to form from a surfactant solution is usually measured in terms of conventional concentration units. However, the thermodynamic potentials are expressed in terms of mole fraction $X_{CMC}$ and $X_{CMC}$ cannot be directly measured experimentally. The Gibbs free energy, ${\Delta}G^{\ast}_{mic}$, in particular is related to $X_{CMC}$ through ${\Delta}G^{\ast}_{mic}$ = $RTlnX_{CMC}$. When it comes to CMC, the molar CMC, $C_{CMC}$, differs only by the proportionality $C^{-1}_{w}$ with $C_{w}$ being the molarity of water. Hence, $C_{CMC}$ is found to be a proper representation of CMC. However, in calculation of ${\Delta}G^{\ast}_{mic}$ and other thermodynamic potentials from the CMC, $X_{CMC}$ or $C_{CMC}/C_{w}$ should be used.