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. 2020 Mar 11;13(6):1262. doi: 10.3390/ma13061262

Table 1.

Kinetics parameters of the pseudo-first-order, pseudo-second-order, and intraparticle diffusion models for the adsorption of Direct Blue 78 onto eggshell.

PFOM 1 Eggshell
C0 (mg/L) qeexp (mg/g) qecal (mg/g) k1 (min−1) R2
25 1.969 0.773 0.036 0.813
50 3.875 2.905 0.028 0.800
100 6.618 6.742 0.032 0.995
150 8.804 8.652 0.025 0.995
200 10.329 12.838 0.030 0.938
250 11.979 14.125 0.027 0.938
300 12.766 13.658 0.024 0.968
PSOM 2
C0 (mg/L) qeexp (mg/g) qecal (mg/g) k2 (g/mg min) R2
25 1.969 1.969 0.257 1
50 3.875 3.874 0.066 1
100 6.618 6.618 0.022 1
150 8.804 8.803 0.0129 1
200 10.329 10.331 0.0093 1
250 11.979 11.979 0.0069 1
300 12.766 12.771 0.0061 1
IDM 3
C0 (mg/L) qeexp (mg/g) (C) (mg/g) ki (mg/g min1/2) R2
25 -- 1.414 0.053 0.704
50 -- 1.722 0.190 0.778
100 -- 1.618 0.462 0.869
150 -- 1.111 0.682 0.961
200 -- 0.424 0.888 0.951
250 -- 0.651 0.999 0.974
300 -- 0.896 1.026 0.995

1 PFOM: pseudo-first-order model; 2 PSOM: pseudo-second-order model; 3 IDM: intraparticle diffusion model.