Table 6 Kinetic equations.

Blanchard

Pseudo-second-order

\(\:t/{q}_{t}=1/\left({k}_{2}{q}_{e}^{2}\right)+t/{q}_{e}\)

k₂

q_e

R²(Linear)

0.0121

4.0286

0.9878

Elovich

Second-order

\(\:{q}_{t}=1/\beta\:\text{l}\text{n}\left(\alpha\:\beta\:\right)+1/\beta\:\text{l}\text{n}\left(t\right)\)

α

β

R²

0.3818

1.0614

0.9427

Logergren

Pseudo–first-order

\(\text{l}\text{n}(q\_e - q\_t)=\text{l}\text{n}[q\_e\:] - k\_1\:t\)

k₁

q_e

R²

0.1029

10.5950

0.8788

IPD

First-order

\(\:{q}_{t}={k}_{i}{t}^{\left(1/2\right)}+C\)

k_i

C

R²

0.0409

1.6970

0.8201