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=ASIA6AP2G7AKJJJJUR5M%2F20260310%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260310T080306Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEHUaDGV1LWNlbnRyYWwtMSJHMEUCIE9ZvsSkc7rjHKXjfNZ5Zp4DHaz4Y2jXF9lNg1QI9G73AiEAgrQ46L%2B0%2B1kRsa9YRXWwBuWm56iNXdOrj8gRwNzepewqvAUIPhACGgw5NjMxMzQyODk5NDAiDB1xSFV9LauEZlQEiSqZBWBQGnanwrQYrbZrL%2FjV2fX4iwGf%2FMRnycfN%2BO17NCjhgYHZx611OWvxIc4PP%2FI1o16bzGu%2B1szc5xOY6oAkOcL3J8G%2FR7yBkQ%2F%2Fc20%2BcqHmFYKy5LIv3yCQdIYIeB0l2xpWGFjXg9f4UzKBWE0I%2F4wgfQHyRlK9jPtxd65y9K9zkgjhIKAreyFFiH%2B9iC9kq17XN2Sw62%2BTa0SoSJGx1Pb6nQ5kA6xsafgaqNc5sJ87uinZ%2F6kCBnJ9VgvqREBL6MAZTDsIvD5JfKG01114eTLBXD0SZxz90Nb8u9gbrf0RcIQMZxEG59tsDcNq4SVtGm0WUGo050CDnVnQiPSTaw3gQfYKXYurUv9JHXsvpvpzGQLMCwozQKaurmvMeSFMZkm0mCWwDPdz%2BBcSfYOTr6HCjZM6%2F7AaB4ASL4BfUmwnTd69wxaEjZ14bMRH4Iv%2FweUC26Gcujt9TFGT3yW%2FrtRKoEFTBg%2BXipHbCWfReN%2FUqF1geMExR4K1gAY9Ubb65KCRCsctTlT5RzRzP6VcuDksnpR5dbViAzDyBN%2BCBJdOhRIrGjpGB9HF9yWNyMUikDK2Hpo9DJV%2Fapwj0AXLpPYRlQg2rC1TYzcBPdJ2PMMMwlsjdMQDQO4jWFVMqE%2FQhg%2FBh%2BWfiWV2a20OVgcRcTD0CeuyseM%2F2pVTvVf9MVYhpbzBHo2C8XbgS3yvh0%2B2ShehVs2ub9jh5UlW3mG1Y%2BYb7JJ3OKKGtOyldutokxfAhcd2ToTXPcIldWtVkkDF5mHcdNky8%2Bb0wp6PxrvsE%2Fvf7pS4WjfRYiESG3xtnkVxcITlMh0nCygzrjSS8gDMt87J6TSuBbbR%2BIJvDU%2BjI9nj5oEQsJS7qxchCYxqx051sTJI4oLGkc2jMKPFvs0GOrEBoSuy8HIt1TY3oJmz%2F5BDFhBLqn9sTJltwcNRD8DjHfK3pN4JHDcLhSs0zZwthY4D4gm3sjQyygOGWuwVamJssmCODP%2FKSshxC7qe7KM1BSlJJczygM6cfiydZ3yWDsqVMfnNqwyuwxeMPof0wYxK0g7jGZ%2F4rEGkWJELmatAQd6TYxhBLnxE5mhu7eGyd1JkQJGUyVcn1TD5fh15TbKciGBj%2Ff4taXNwrzm%2Bgg1Zm6%2Bh&X-Amz-Signature=49086f69ae421c5a2295376c2cadac8dd1e086fb1c5cdb02b95f100decf8c547&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 |