Skip to main content
. 2023 Sep 7;13:14776. doi: 10.1038/s41598-023-41747-5

Table 5.

Kinetic parameters for RB dye on nano OP and AC/Cs/MWCNTs nano composite.

Pseudo first-order model
Adsorbent Temp. K K1 (min−1) qe, 1, cal (mg/g) t0.5 R2
Nano OP 295 0.03803 1.2504 18.2263 0.8453
303 0.06113 2.9496 11.3389 0.9432
313 0.02756 0.5609 25.1504 0.8458
323 0.01361 0.7373 50.92.92 0.9320
AC/Cs/MWCNTs nano composite 295 0.0381 1.6928 18.1928 0.9832
303 0.0336 1.0994 20.6293 0.9386
313 0.0270 1.1426 25.6721 0.7515
323 0.0133 0.5402 52.1163 0.8281
Pseudo second-order model
Adsorbent Temp. K K2 (g/mg min) qe, 2, cal (mg/g) h (mg/g min) t0.5 R2
Nano OP 295 0.1028 3.9945 1.6402 1.7686 0.9982
303 0.0407 5.1808 1.0937 4.4672 0.9978
313 0.3287 4.4815 6.6028 0.5531 0.9999
323 0.2233 3.9556 3.4946 0.8142 0.9995
AC/Cs/MWCNTs nano composite 295 0.0819 5.3304 2.3289 2.22 0.9989
303 0.1419 5.1557 3.7742 1.2813 0.9996
313 0.1256 4.8813 2.9935 1.4475 0.9989
323 0.3744 5.0597 9.5868 0.4856 0.9997
Intraparticle diffusion model
Adsorbent Temp. K Kint (mg/g min−0.5) C (mg/g) R2
Nano OP 295 0.2192 2.1691 0.8215
303 0.3978 1.7469 0.8031
313 0.0973 3.6957 0.6875
323 0.0675 3.3170 0.9341
AC/Cs/MWCNTs nano composite 295 0.2173 3.4045 0.8850
303 0.15622 3.8165 0.8684
313 0.1787 3.3621 0.8214
323 0.05716 4.5622 0.8107
Liquid film diffusion model
Temp. K Kfd C (mg/g) R2
Nano OP 295 0.0380 1.1522 0.8453
303 0.0611 0.5130 0.9432
313 0.0275 2.0867 0.8458
323 0.0136 1.7321 0.9320
AC/Cs/MWCNTs nano composite 295 0.03811 1.1404 0.9832
303 0.0336 1.5479 0.9386
313 0.0270 1.4660 0.7516
323 0.0133 2.2704 0.8282