4.3 Article

The Unit Problem in the Thermodynamic Calculation of Adsorption Using the Langmuir Equation

Journal

CHEMICAL ENGINEERING COMMUNICATIONS
Volume 201, Issue 11, Pages 1459-1467

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/00986445.2013.818541

Keywords

Langmuir equation; Standard equilibrium constant; Standard Gibbs free energy

Funding

  1. National Natural Science Foundation of China [31070478]
  2. Natural Science Foundation of Tianjin, China [08JCZDJC18800]
  3. Research Program of Tianjin Agricultural University [2008D016]

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The equilibrium constant K in the Langmuir isotherm is usually used to calculate the standard Gibbs free energy of adsorption (Delta G degrees). However, in a strictly theoretical sense, this calculation method is incorrect. The reason is that the K in the Langmuir isotherm has a dimension. According to the provisions of the International Union of Pure and Applied Chemistry (IUPAC), the standard equilibrium constant (K degrees) for calculating Delta G degrees must be a dimensionless parameter. We examined four examples from the literature and found that the calculation of Delta G degrees presented in these four references was incorrect. Based on the fact that this misapplication is very common, this note reviews the related literature and gives a short comment on this problem. Two methods for calculating the thermodynamic equilibrium constant by the Langmuir equation are provided and discussed.

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