Table 2 Numerical equations in Cu (II) uptake kinetics.
From: Separation of copper ions by nanocomposites using adsorption process
Kinetic models | Linear equations | Graph | Calculated coefficients | |
|---|---|---|---|---|
Lagergren pseudo-first-order | \(\ln (q_{e} - q_{t} ) = \ln q_{e} - k_{1} t\) | (4) | ln(qe − qt) vs. t | k1 = − slope, qe = eintercept |
Pseudo-second-order | \(\frac{t}{{q_{t} }} = \frac{1}{{k^{\prime}_{2} q_{{e^{{}} }}^{2} }}_{{}} + \frac{t}{{q_{e} }}\) | (5) | t/qt vs. t | kʹ2 = slope2/intercept, qe = 1/slope |
Second-order | \(\frac{1}{{C_{t} }} = k_{2} t + \frac{1}{{C_{0}^{{}} }}\) | (6) | 1/Ct versus t | K2 = slope |
