Batch adsorption experiments are carried out by adding a known amount of adsorbent to a liquid solution at a known initial concentration and following the evolution in time of the concentration of the adsorbate. This is a very common method to obtain equilibrium and kinetic information in liquid systems, but in most cases kinetic results are analysed on the basis of empirical models. Two phenomenological models based on macropore diffusion in beads and shrinking core kinetics are used to generate data that are then interpreted with the widely used unconstrained linear regression methods. The results show that for both cases R² values close to unity are obtained leading to the incorrect interpretation of the mechanism of mass transport. It is recommended that batch adsorption experiments should be analysed using phenomenological models to obtain physical parameters that are applicable to other systems and to reduce the experiments required to characterise fully the kinetics of adsorption.

通过将已知量的吸附剂以已知的初始浓度添加到液体溶液中，并随时间推移被吸附物的浓度而进行批量吸附实验。这是在液体系统中获取平衡和动力学信息的非常常用的方法，但是在大多数情况下，动力学结果是根据经验模型进行分析的。基于珠子中大孔扩散和收缩核动力学的两个现象学模型用于生成数据，然后使用广泛使用的无约束线性回归方法进行解释。结果表明，对于两种情况，R ²获得接近于1的值会导致对质量传输机理的错误解释。建议应使用现象学模型分析批量吸附实验，以获得适用于其他系统的物理参数，并减少充分表征吸附动力学所需的实验。