A comparison of the linear and non-linear methods for the selection of optimum equilibrium isotherm for the adsorption of methylene blue onto the banana root (Musa acuminata) derived activated carbons was carried out. The adsorption equilibrium data were fitted to three isotherm models: Langmuir, Freundlich, and Temkin. The prediction of optimum isotherm was based on six error functions: the coefficient of determination (R²), the sum of the squares of the errors (SSE), the sum of the absolute errors (SAE), the average relative error (ARE), the hybrid fractional error function (HYBRID), and the Marquardt’s percent standard deviation (MPSD). The optimum isotherm achieved was the Temkin isotherm in non-linear and linear form followed by Freundlich and Langmuir based on the error functions. Non-linear pseudo-first-order and pseudo-second-order kinetic models analyzed the adsorption data. The present work demonstrated that the non-linear method is a more suitable method to estimate the isotherm parameters than the linear method, and the pseudo-first-order model best fitted the corresponding experimental data.

进行了选择最佳平衡等温线以吸附亚甲基蓝到香蕉根（Mus acuminata）衍生的活性炭上的线性和非线性方法的比较。吸附平衡数据拟合到三个等温线模型：Langmuir，Freundlich和Temkin。最佳等温线的预测基于六个误差函数：确定系数（R ²），误差平方和（SSE），绝对误差和（SAE），平均相对误差（ARE），混合分数误差函数（HYBRID）和Marquardt百分比标准偏差（MPSD） 。达到的最佳等温线是非线性和线性形式的Temkin等温线，其后是基于误差函数的Freundlich和Langmuir。非线性伪一级和伪二级动力学模型分析了吸附数据。目前的工作表明，非线性方法比线性方法更适合估算等温线参数，伪一阶模型最适合相应的实验数据。