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. 2023 Dec 8;31(2):2419–2436. doi: 10.1007/s11356-023-31102-6

Table 2.

Kinetics models fitting parameters for adsorption of Eu(III) ions onto Phy/B mixtures compared to phyllite (Phy) and bentonite (B)

Phy Phy/B = 75/25 Phy/B = 50/50 Phy/B = 25/75 B
PFO PSO PFO PSO PFO PSO PFO PSO PFO PSO
pH 4.5, C0 10 mg/L, L:S 100:1
  q 1.011 1.011 1.011 1.011 1.012
  qe 1.019 1.069 1.009 1.032 1.008 1.047 1.008 1.047 1.01 1.042
  k1, k2 0.2248 0.3403 0.2064 0.3338 0.2074 0.3416 0.2059 0.3457 0.2029 0.3515
  R2 0.9516 0.9455 0.9985 0.9796 0.9954 0.9879 0.9964 0.9948 0.9899 0.9809
  SSE 0.0772 0.1429 0.0080 0.0271 0.0153 0.0138 0.0033 0.0138 0.0093 0.0118
  χ2 0.0291 0.0913 0.0011 0.0293 0.0161 0.0093 0.0031 0.0041 0.0111 0.0137
pH 4.5, C0 200 mg/L, L:S 100:1
  q 3.50 6.60 13.65 16.80 19.71
  qe 3.189 3.510 6.1189 6.671 12.91 13.73 15.19 16.81 19.71 21.39
  k1, k2 0.0532 0.00833 0.0455 0.0074 0.0456 0.0062 0.0416 0.0043 0.0352 0.0016
  R2 0.9485 0.9891 0.9778 0.9975 0.9605 0.9913 0.9456 0.9858 0.9973 0.9869
  SSE 0.7471 0.1586 1.435 0.1792 3.453 1.8812 10.02 5.260 1.823 5.580
  χ2 0.3649 0.0926 0.4186 0.0451 1.098 0.2522 0.714 0.794 0.2663 0.3052
pH 7.0, C0 10 mg/L, L:S 100:1
  q 1.01 1.014 1.014 1.014 1.01
  qe 1.008 1.042 1.018 1.033 1.019 1.039 1.019 1.034 1.014 1.038
  k1, k2 0.4837 0.6926 0.4831 0.6865 0.4686 0.6060 0.4396 0.5832 0.3316 0.5801
  R2 0.9889 0.9695 0.9829 0.9763 0.9909 0.9704 0.9912 0.9712 0.9891 0.9632
  SSE 0.0124 0.0339 0.0173 0.0442 0.0089 0.0289 0.0086 0.0281 0.0115 0.0386
  χ2 0.0085 0.0205 0.0116 0.0287 0.0065 0.0196 0.0063 0.0319 0.0071 0.0246
pH 7.0, C0 200 mg/L, L:S 100:1
  q 7.20 12.0 18.07 19.57 20.6
  qe 7.053 7.741 11.96 12.71 18.03 19.11 19.42 20.60 20.06 21.52
  k1, k2 0.0561 0.0058 0.0658 0.0055 0.0659 0.0057 0.0676 0.0051 0.0558 0.0039
  R2 0.9949 0.9960 0.9909 0.9701 0.9914 0.9672 0.9923 0.9882 0.9926 0.9902
  SSE 0.4169 0.3211 2.248 2.520 6.034 5.358 5.485 4.884 1.0814 4.5168
  χ2 0.2075 0.0891 0.0713 0.2335 0.1288 0.4789 0.6092 0.2332 0.0661 0.2908
pH 7.0, C0 10 mg/L, L:S 500:1
  q 4.32 5.013 5.013 5.013 5.13
  qe 4.358 4.891 5.084 5.526 5.083 5.275 5.085 5.233 4.416 5.039
  k1, k2 0.2433 0.0561 0.2452 0.0553 0.2145 0.0538 0.2151 0.0517 0.2011 0.0485
  R2 0.9929 0.9809 0.9921 0.9861 0.9914 0.9896 0.9923 0.9954 0.9934 0.9968
  SSE 0.1184 0.1104 0.2493 0.4404 0.2440 0.2981 0.1998 0.1191 0.5279 0.0851
  χ2 0.0284 0.1524 0.0658 0.0665 0.0561 0.0427 0.0404 0.0194 0.1181 0.0163
pH 7.0, C0 200 mg/L, L:S 500:1
  Q 22.09 26.4 38.9 48.5 63.84
  qe 20.08 21.54 25.42 27.39 37.22 40.03 49.18 49.24 61.89 66.11
  k1, k2 0.0473 0.00325 0.0333 0.0013 0.0362 0.00133 0.0364 0.0013 0.0366 0.00085
  R2 0.9423 0.9879 0.9837 0.9931 0.9933 0.9949 0.9839 0.9541 0.9819 0.9936
  SSE 147.6 5.241 9.159 2.906 7.545 1.231 27.25 71.39 42.63 12.67
  χ2 11.73 0.4343 0.3529 0.2445 0.1939 0.1717 0.7941 2.299 0.9813 0.5506

qe (mg/g) the Eu(III) adsorption at equilibrium, k1 (1/min) adsorption rate constant for PFO, k2 (g/mg·min) adsorption rate constant for PSO