Linear and nonlinear isotherm, kinetic and thermodynamic behavior of methyl orange adsorption using modulated Al2O3@UiO-66 via acetic acid

Decorated reduced graphene oxide transfer sulfides into sulfur and sulfone in wastewater

“…R 2 , RMSE and c 2 values were used to determine the most suitable adsorption isotherm model. 55 As observed from Table 4, the RMSE and c 2 values of the Langmuir linear isotherm model were lower than those of the Freundlich linear isotherm model and the other two non-linear isotherm models, which revealed that the Langmuir linear model was the best tting isotherm. Therefore, the adsorption process of sulde on RGO/ Fe 3 O 4 was monolayer and the maximum adsorption capacity estimated was 173.01 mg g −1 , which was relatively higher than the values for other sulde adsorbents presented in the literature (Table 5).…”

Hectorite-CTAB–alginate composite beads for water treatment: kinetic, isothermal and thermodynamic studies

“…Adsorption capacities at different contact durations were analysed to derive the non-linear pseudo-first-order (eqn (3)) and non-linear pseudo-second-order (eqn (4)). 1,27,31 q t = q e (1 − e − K 1 t )where q t and q e are the MO adsorption capacities (mg g −1 ) at time, t (min) and equilibrium, respectively. In comparison, the rate constants for the pseudo-first and pseudo-second order models are symbolized by K 1 and K 2 , respectively.…”

“…The results of adsorption at different concentrations were used to calculate the nonlinear isotherm. The following equation was employed to determine the Langmuir, Freundlich, Temkin, and Sips non-linear isotherm models (eqn (5)–(8)): 1,31 q e = K f C e 1/ n where K L (L mg −1 ), K F (mg g −1 (L −1 mg −1 )1/ n −1 ), and K T (L mg −1 ) are the isotherm constant of Langmuir, Freundlich, and Temkin, respectively. While q m represents the maximum adsorption capacity of Langmuir, q e is the adsorption capacity (mg g −1 ), and C e is the concentration (mg L −1 ) of the methyl orange at equilibrium.…”

“…Furthermore, n was the dimensionless constant that indicates the affinity of MO adsorption to the adsorbents, and B was the Temkin constant associated with the heat of MO adsorption. 1,31,32 The Langmuir isotherm has a dimensionless, essential feature called the Langmuir equilibrium parameter R L , defined by eqn (9). 24 …”

Isolation of Phenolic Compounds from Raspberry Based on Molecular Imprinting Techniques and Investigation of Their Anti-Alzheimer’s Disease Properties

“…In order to better and more intuitively evaluate the adsorption performance of MIPs, the combination of ellagic acid and target molecules is reflected in the Scatchard equation [ 66 ]. The Scatchard equation is shown in Equation (2).…”