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. 2018 Apr 26;13(4):e0196428. doi: 10.1371/journal.pone.0196428

Table 2. Kinetic model parameters for DY27 biosorption onto corncob at different solution pH levels.

Solution pH 1.5 2.0 2.5 3.0 4.0 5.0 6.0
qe exp [mg g-1] 35.1551 ± 0.8815 28.4783 ± 0.4683 20.5694 ± 0.4657 12.6606 ± 0.9735 6.900 ± 0.9896 4.2121 ± 0.79 1.5235 ± 0.08962
Pseudo-first-order
qe1 32.52 ± 1.0 25.65 ± 0.92 18.58 ± 0.66 11.51 ± 0.58 8.052 ± 0.409 4.716 ± 0.215 1.437 ± 0.059
k1 0.647 ± 0.0689 1.279 ± 0.204 1.222 ± 1.191 1.115 ± 0.8759 1.020 ± 0.2164 1.075 ± 0.2047 1.152 ± 0.1893
r2 0.9662 0.9238 0.9269 0.8724 0.8726 0.8950 0.9486
ASS 197.5 254.7 129.6 95.13 45.04 12.73 0.5502
Sy.x 2.008 2.280 1.626 1.393 0.9587 0.5098 0.1203
AIC 75.57 88.52 54.08 38.31 0.1721 -64.26 -164.8
Pseudo-second-order
qe2 35.62 ± 0.87 28.02 ± 0.62 20.35 ± 0.46 12.68 ± 0.61 8.883 ± 0.394 5.195 ± 0.203 1.579 ± 0.061
k2 0.0259 ± 0.0031 0.06507 ± 0.0084 0.08452 ± 0.0109 0.1197 ± 0.03242 0.1577 ± 0.382 0.2840 ± 0.0616 0.9573 ± 0.1953
r2 0.9831 0.9794 0.9795 0.9162 0.9301 0.9443 0.9664
ASS 98.66 68.92 36.40 62.51 24.70 6.759 0.3595
Sy.x 1.419 1.186 0.8619 1.129 0.7100 0.3714 0.09727
AIC 40.16 21.86 -10.69 16.89 -30.46 -96.56 -181.8
Elovich
BE 0.1921 ± 0.0226 0.2794 ± 0.0298 0.3802 ± 0.0403 0.5944 ± 0.089 0.8387 ± 0.1064 1.443 ± 1.3508 4.581 ± 0.771
AE 157.1 ± 74.14 448.1 ± 249.6 290 ± 157.1 140.9 ± 102.79 87.40 ± 52.73 54.80 ± 33.94 12.71 ± 9.506
r2 0.9181 0.9313 0.9316 0.8710 0.9035 0.9016 0.8806
ASS 479.0 229.8 121.2 96.22 34.12 11.94 1.279
Sy.x 3.126 2.165 1.573 1.401 0.8344 0.4936 0.1835
AlC 120.7 83.27 50.67 38.88 -13.99 -67.54 -131.0
Intraparticle diffusion
kid 3.545 ± 0.887 2.523 ± 0.719 1.852 ± 0.52 1.18 ± 0.343 0.8446 ± 0.2268 0.4862 ± 0.1354 0.1504 ± 0.505
c 13.76 ± 2.87 13.97 ± 2.32 9.961 ± 1.68 5.951 ± 1.109 4.053 ± 0.733 2.415 ± 0.438 0.6664 ± 0.1654
r2 0.5688 0.5038 0.5117 0.4941 0.5340 0.5157 0.4887
ASS 2521 1659 865.7 377.3 164.7 58.76 5.478
Sy.x 7.173 5.819 4.203 2.775 1.833 1.095 0.3797
AIC 205.4 184.1 150.9 108.6 66.30 13.73 -72.86
Fractional power
kfp 18.41 ± 1.53 17.56 ± 1.06 12.57 ± 0.77 7.588 ± 0.598 5.211 ± 0.372 3.086 ± 0.222 0.9003 ± 0.0932
v 0.1851 ± 0.0305 0.1465 ± 0.0234 0.1495 ± 0.0237 0.1563 ± 0.0301 0.1612 ± 0.0271 0.1580 ± 0.0276 0.1649 ± 0.0377
r2 0.8392 0.8669 0.8949 0.8665 0.8438 0.8371 0.7984
ASS 939.9 445.2 221.4 236.8 55.21 19.76 2.160
Sy.x 4.380 3.014 2.194 2.198 1.061 0.6350 0.2384
AIC 155.1 117.0 79.93 84.81 10.56 -41.85 -110.1