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. 2020 Mar 20;10:5149. doi: 10.1038/s41598-020-62059-y

Table 2.

Values for the constants of the kinetic models used to fit the experimental data on the adsorption of p-nitrophenol on biochar samples prepared at different pyrolysis temperatures.

Sample PC300 PC400 PC500 PC600 PC700
q* (experimental value) 7.1181 14.0297 18.491 19.8862 19.2583
Pseudo-first order
q 7.6715 13.4334 17.6011 19.2739 18.1302
k1 0.0303 0.0354 0.0531 0.0337 0.0547
SSE 0.2649 0.4601 0.7888 1.8754 1.4942
R2 0.9824 0.9828 0.9603 0.8454 0.8449
Pseudo-second order
qe 7.0871 14.2018 18.6552 21.0357 20.0589
k2 0.0041 0.0027 0.0037 0.0027 0.0039
SSE 0.1945 0.0983 0.1776 0.9609 0.7946
R2 0.9904 0.9992 0.9679 0.9431 0.9562
Elovich
qe 7.1748 14.4387 19.4924 20.3989 19.9607
a 0.6282 1.5846 4.2774 5.0375 5.7226
b 0.5627 0.3186 0.2844 0.2788 0.2939
SSE 0.2025 0.3828 0.6887 0.2762 0.4002
R2 0.9896 0.9881 0.9897 0.9952 0.9889
Intra-particle diffusion
ki1 1.099 1.9063 2.4338 2.022 1.8304
Ci1 0.2229 0.461 1.3107 2.6471 3.4365
R2 0.9804 0.9999 0.993 0.9961 0.9966
ki2 0.4752 0.7414 0.9858 1.0598 1.2466
Ci2 1.897 3.3176 5.5066 7.8012 6.1088
R2 0.9765 0.9533 0.9325 0.9994 0.9931
ki3 0.031 0.2679 0.2521 0.3341 0.2151
Ci3 6.6865 10.1778 14.8832 15.084 16.2268
R2 0.9756 0.9908 0.9641 0.9878 0.9775