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. 2021 Sep 23;6(39):25397–25411. doi: 10.1021/acsomega.1c03355

Table 3. Kinetic Models and Adsorption Isotherms Used in the Present Studya.

  model linear form
kinetic models pseudo-first-order Inline graphic
pseudo-second-order Inline graphic
Elovich Inline graphic
goodness of adsorption (Chi-square) Inline graphic
adsorption isotherm Langmuir isotherm Inline graphic
Freundlich isotherm Inline graphic
Temkin Inline graphic
a

qe, qt, and qm are the amount of adsorbed dye at equilibrium, the amount of dye adsorbed at time t, and the maximum adsorption capacity (mg·g–1), respectively. K1 and K2 are the rate constant of pseudo-first-order (min–1) and rate constant of pseudo-second-order (g·mg–1·min–1), respectively. β is the desorption constant (g·mg–1) and α is the initial adsorption rate (mg·g–1·min–1). Ce is the equilibrium concentration (mg·L–1), KL is the adsorption equilibrium constant (L·mg–1), RL is the separation factor, B1 is the Temkin constant, and A is the equilibrium bond constant.