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

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.