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. 2023 Jul 24;13:11900. doi: 10.1038/s41598-023-39241-z

Table 4.

IPD model adsorption kinetics parameters for hydrogels at different pH values for an initial 2 mg/L MB concentration.

Sample pH Intraparticle diffusion model
First stage Second stage Third stage
k3 ((mg/g)/h) C (mg/g) R2 k3 ((mg/g)/h) C (mg/g) R2 C R2
S-AA-1 2.0 0.0375 0.0069 0.9769 0.0210 0.0952 0.9834 0.2600 0.9999
4.8 0.0578 0 0.9990 0.0313 0.1485 0.9738 0.3920 0.9999
7.4 0.1326 − 0.0094 0.9896 0.0665 0.9831 0.9831 0.8992 0.9999
10.0 0.2324 − 0.0318 0.9874 0.1437 0.9152 0.9905 2.0128 0.9999
S-AA-2 2.0 0.0301 0.0032 0.9833 0.0154 0.0820 0.9787 0.2000 0.9999
4.8 0.0534 − 0.0054 0.9945 0.0274 0.1367 0.9579 0.3520 0.9999
7.4 0.1159 − 0.0212 0.9894 0.0664 0.6650 0.9891 0.8448 0.9999
10.0 0.2255 − 0.0666 0.9874 0.1500 0.7697 0.9915 1.9168 0.9999
S-AA3 2.0 0.0223 0.0017 0.9897 0.0066 0.0480 0.9947 0.1000 0.9999
4.8 0.0412 − 0.0061 0.9860 0.0290 0.0530 0.9898 0.2720 0.9999
7.4 0.1045 − 0.0193 0.9837 0.0665 0.2572 0.9831 0.7700 0.9999
10.0 0.2039 − 0.0522 0.9954 0.1693 0.5181 0.9812 1.8208 0.9999