Table 2 Comparison of the parameters of different kinetic models for describing the sorption of U(VI) using MOF@PET TeM.

From: MOF-decorated track-etched membranes for the U(VI) ions sorption removal

Kinetic model

Linear equation of

the kinetic model

Parameters of the

kinetic model

Value

Pseudo-First Order

\(\ln \left( {{q_e} - {q_t}} \right)=ln{\text{~}}{q_e} - {k_1}t\)

\({k_1}\)min−1

0.018

\({q_e}\), mg/g

19.91

R2

0.84

Pseudo-second Order

\(\frac{t}{{{q_t}}}=\frac{1}{{{k_2}q_{e}^{2}}}+\frac{t}{{{q_e}}}\)

\({k_2} \times {10^{ - 4}}\), g/mg×min

4.38

\({q_{e,}}\), mg/g

526.31

R2

0.99

The Elovich Model

\({q_t}=\frac{1}{\beta }\left( {\ln \alpha \beta } \right)+\frac{1}{\beta }\ln t\)

α, mg/g×min

2.10

β, mg/min

0.008

R2

0.92

Morris-Weber

\(A={k_{id}}{t^{1/2}}+C\)

\({k_{id}}\), mg/(g×·min1/2)

0.65

С, mg/g

411.59

R2

1.0

Boyd

\({B_t}= - 0.497 - \ln \left( {1 - F} \right)\)

k, min-1

0.20

R2

0.99