When the model fitting of sorption kinetics data was performed using linearized pseudosecond‐order rate equations based on constant Q_e corresponding to equilibrium sorption, the instantaneous driving force for sorption was underestimated, resulting in an erroneous overestimation of the rate constant. To resolve the issue, a rectification of the model fitting was proposed by accounting for the concentration dependence of Q_e in the model equation based on the fact that Q_e in the equation represents the sorption capacity at that instant as sorption proceeded with time. The rectified approach was validated with experimental data for various sorption systems reported in the literature. It was shown that the rectification yielded true sorption rate constant that characterizes the relationship between sorption rate and solute concentration, thereby resolving the issues associated with the original approach where the specific rate constant was found to depend on solute concentration and sorption time. © 2017 American Institute of Chemical Engineers AIChE J, 64: 1793–1805, 2018

中文翻译：

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吸附动力学数据的模型拟合：忽略了错误的应用及其纠正

当使用基于平衡吸附对应的常数Q _e的线性拟假二阶速率方程对吸附动力学数据进行模型拟合时，吸附的瞬时驱动力被低估了，导致速率常数被错误地高估了。为了解决该问题，基于Q _e的事实，通过考虑模型方程中Q _e的浓度依赖性，提出了对模型拟合的校正。等式中的“-”表示当吸附随时间进行时该时刻的吸附能力。纠正的方法已通过文献报道的各种吸附系统的实验数据进行了验证。结果表明，精馏产生的真吸附速率常数表征了吸附速率与溶质浓度之间的关系，从而解决了与原始方法相关的问题，在该方法中，特定的速率常数取决于溶质浓度和吸附时间。©2017美国化学工程师学会AIChE J，64：1793–1805，2018