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. 2022 Jun 9;7(24):21145–21155. doi: 10.1021/acsomega.2c01953

Table 1. Adsorption Kinetics and Isotherm Parameters Obtained from Linearized Dataa.

model equation linear equation dye parameters R2
pseudo-first order Qt = Qe (1 – ek1t) ln(Qe – Qt) = ln Qe – k1t RhB Qe = 15.8 mg g–1 0.990
k1 = 0.214 min–1
MO Qe = 11.6 mg g–1 0.856
k1 = 0.292 min–1
pseudo-second order Inline graphic Inline graphic RhB Qe = 19.5 mg g–1 0.951
k2 = 0.0125 g mg–1 min–1
MO Qe = 14.9 mg g–1 0.992
k2 = 0.0785 mg–1 min–1
Freundlich Qe = kFCe1/n Inline graphic RhB kF = 9.75 0.988
n = 1.18
MO kF = 4.06 0.967
n = 0.91
a

Qe and Qt are the amount of dye adsorbed per gram of MIL-100(Fe)@PAN (mg g–1) at equilibrium and time t, respectively. k1 and k2 are the pseudo-first-order (min–1) and pseudo-second-order (g mg–1 min–1) rate constants, respectively. Ce is the equilibrium dye concentration in solution (mg L–1). In the Freundlich isotherm model, kF and n are obtained from fitting the experimental results to the model.