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. 2024 Jun 6;14:13021. doi: 10.1038/s41598-024-62870-x

Table 2.

PFO and PSO model results by 0.25–1.25 g/L MBCOT doses and 50–250 mg/L starting AR73 dye concentration at 25 ± 2 °C.

Parameter First-order kinetic model Second-order kinetic model
MBCOT Conc AR73 dye (mg/L) qe (exp.) qe (calc.) k1 R2 qe (calc.) k2 × 103 h R2
0.75 g/L 50 92.05 59.10 31.78 0.937 99.01 0.91 8881 0.999
100 128.19 70.05 18.88 0.987 138.89 0.41 7974.5 0.994
150 129.25 66.77 23.03 0.944 140.85 0.23 4564.1 0.959
200 123.73 104.35 28.10 0.914 138.89 0.36 6973.5 0.996
250 130.54 98.97 20.73 0.890 151.52 0.23 5382.1 0.980
1.0 g/L 50 63.38 24.23 33.16 0.952 65.79 2.61 11,299.4 0.999
100 106.29 65.45 27.41 0.964 114.94 0.64 8431.7 0.998
150 120.52 104.71 35.24 0.872 133.33 0.25 4454.3 0.966
200 132.92 81.34 20.04 0.993 147.06 0.35 7501.9 0.995
250 137.64 100.53 17.96 0.950 156.25 0.30 7385.5 0.993
1.25 g/L 50 47.81 11.88 30.40 0.978 49.02 5.18 12,437.8 1.000
100 94.11 60.62 28.79 0.898 101.01 0.79 8051.5 0.998
150 100.67 62.85 21.42 0.979 111.11 0.47 5861.7 0.997
200 107.42 94.49 19.81 0.990 136.99 0.16 3088.3 0.997
250 140.23 87.32 19.11 0.988 142.86 0.46 9478.7 0.996
1.50 g/L 50 38.47 4.46 22.80 0.954 38.91 11.53 17,452.0 1.000
100 78.14 31.92 29.94 0.986 81.97 1.69 11,325.0 1.000
150 95.22 56.31 20.04 0.979 105.26 0.44 4890.0 0.992
200 114.72 66.82 19.11 0.998 126.58 0.41 6605.0 0.997
250 130.49 79.60 19.81 0.995 144.93 0.35 7326.0 0.996
1.75 g/L 50 32.15 2.33 17.04 0.920 32.36 18.50 19,379.8 1.000
100 65.39 9.57 25.33 0.847 66.67 5.14 22,831.1 1.000
150 91.69 63.18 25.79 0.983 101.01 0.58 5903.2 0.999
200 111.77 61.14 20.96 0.999 121.95 0.52 7704.2 0.998
250 125.01 73.88 21.88 0.989 136.99 0.43 8123.5 0.998