Figure 1.
![Chemical structure of Acid Red 18 [49]](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/677fbdf9082aa65dea3c70d1/j_acee-2024-0010_fig_001.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKKYHRIQIM%2F20260310%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260310T092352Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEHUaDGV1LWNlbnRyYWwtMSJIMEYCIQD1EJNYn%2F%2Fcn%2BaMSIAd8bbGyJyB5rpWsGjtHCnPMxM9fQIhAOcxcEafL4ElZo0GgYz1AmDImPGN9z10abAetzoT9nI3Kr0FCD4QAhoMOTYzMTM0Mjg5OTQwIgx8JQVXEQiHwK4%2F%2BMYqmgWU1IdilL7OYGoqxagDlOYn8%2Bo9ieFeFVOoB4yp3DgmG%2FOdI0D5LpSTnmEvT9JJEn3V48oqu9AjNsKJWa0KTJEjLnlw8B7ygQpzOFR55lFxi3LijPhpveYVnkLOoKNuHDALiyIy%2FNbQHjJU0SOIYD%2B0M6fgUgtH1UU5LhIcFYM8NfceQa5BdYyY8HAECSrQHGcjTfDR%2BAuieEr7LtrH6J%2FiIopJsff05a80qRhD29Idk2AmJYMrsQuFZtNH9330MgUjZup60HNB8%2Bvn6yNOL0VkNOvEeWXAil%2BLoF7RSNc0%2Ft1MTnu2JiToPmvy%2BQ%2Fu%2BpTJDVGTk4ILbtN1gze01%2B5bqqcs2cd4opZvOp734HnogdmdlnygVjbHvOYqP9EM2Y%2FEvVAoRG1VjsXMtH0abUTObi6ZeNbmUzpffM%2FT0go%2FtPuTaO%2BcWePEOkGHlUEeOHVRwJeje%2FNG6vrreLFz0sGbRLHV7L2NRtGOmf4KykxlXYT7SH0TJoWINgWEVgutAtXafrbiyGwRwtpE%2Fh5Gn9aKn%2FVtC2mSkDiT97aKKyWfoMMfP0DDLYUudUAyR8fvK38UepBCrE%2FIu%2BERxqoOW3Cb0SP24OW6fLOuF%2F0aBbLH08iCoTt9HHmghjorAqMX%2F9iofy70YTT8VsG70CpbW2bccZ9h0jVu6n66684qgzFzCULo56tW7PO9%2BVYgtYf0TfMdu0C81g62mU5Galn2J05cRJ1U6uX344VwXA3ow78TNh7ZnDrtyAEy%2FawObMFS7eZkpJ5JEBMOXBg7%2B2HQbCjm9Cp7pdBXUno7IM5Qf1GjLUr3%2FTItZh8UhTDuNpPm5pzrQXJQWWoYQpR9XUpz8iU%2BP9ibOg%2Fd1KvoJWDW18NXnGI8mR2zTxKnt98w172%2BzQY6sAHepdvIlar7M5H0aOaxoST%2FeUT8FNPjlP8YbgXQdd9%2B6%2F7sOJlUAhNJRugAN1WKR2cMhU2vdLb1zaa8L7EZ7l36MoJAD%2F1Oy3UTh8uzE2FFvWGTeHFn93Ua0hnfRLbOgr8cCfR3Ajjq0xG1ob0jaXP4cAfmxwnup4YHNqw7eNhIKQao7RgX6T8riBZgxm7BJuzIpwqMqE%2BmJEsV845ub3dlQyX7KqcnApPfoIXr2kp8ag%3D%3D&X-Amz-Signature=68d5656dc4faf102f4dd70da3ec4a405d91eaeaf261734df06e014f0f9bb7fd5&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 2.

Figure 3.

The parameters of kinetics models
| Kinetics model | Parameter | 100 mg/L | 700 mg/L |
|---|---|---|---|
| Pseudo-first-order | qe | 38.5 | 78.0 |
| k1 | 0.1114 | 0.0684 | |
| R2 | 0.851 | 0.911 | |
| RMSE | 0.70 | 1.03 | |
| Pseudo-second-order | qe | 43.8 | 93.6 |
| k2 | 0.0028 | 0.00070 | |
| R2 | 0.973 | 0.986 | |
| RMSE | 0.29 | 0.41 |
The parameters of sorption isotherm models
| Isotherm model | Parameter | Unit | Values of parameters |
|---|---|---|---|
| Freundlich | 1/n | - | 0.108 |
| Kf | mg(1–1/n)L(1/n)/g | 35.89 | |
| R2 | - | 0.892 | |
| RMSE | - | 3.23 | |
| Langmuir | qm | mg/g | 71.6 |
| KL | L/mg | 0.0944 | |
| R2 | - | 0.928 | |
| RMSE | - | 2.64 | |
| Jovanovic | qmax | mg/g | 69.0 |
| KJ | L/g | 0.0666 | |
| R2 | - | 0.796 | |
| RMSE | - | 4.44 | |
| Dubinin- Radushkevich | Qs | mg/g | 69.0 |
| KDR | mol2/kJ2 | 17.77 | |
| E | kJ/mol | 0.17 | |
| R2 | - | 0.815 | |
| RMSE | - | 4.20 | |
| Sips | qmS | mg/g | 78.1 |
| Ks | L/mg | 0.2675 | |
| SP | - | 0.572 | |
| R2 | - | 0.967 | |
| RMSE | - | 1.78 | |
| Toth | qmT | mg/g | 79.0 |
| Kt | L/mg | 0.5054 | |
| t | - | 0.510 | |
| R2 | - | 0.967 | |
| RMSE | - | 1.78 |