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=ASIA6AP2G7AKA74IGDKQ%2F20260123%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260123T221056Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEDUaDGV1LWNlbnRyYWwtMSJGMEQCICsXG91CIZuNzLTmjqfyL0U4e%2BnwCgDh5q5ZDk7gsXx5AiAyo85gC6haHjUSsPYD46c9O61Z8uf1TruzGKAa32AXwyrGBQj%2B%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAIaDDk2MzEzNDI4OTk0MCIM6LlOi%2BBjaXP64YY%2FKpoFM%2BXPcViFvQgrcikIY4ugdWoNKslFVkI0sawgsJbLfO%2Fid9ApXd2oVCh6eDbK7oC6V5Avn2lD09cqqyngjKwbO6SqmvJRznDjmgHQiJs7Wx8f7GR8daSl75plXDr96wrS2ywOQYDiUE%2Fk9yzRPHc2p%2B8W%2B75ww9s%2BcVfHu7Ign1HHcykJ2w825Oyvg1%2Bcz1yLmi1N1caAcmWyls3vqf%2BYGXd9p45AdRLoKiohmfne3NUCqaF2PsreTdO5HQZTtkOnMyIYpNc1yhvPOKFuqIJJ5mN2PfFtrtml0%2BKErI4CxsF8EHSg43puFBayAXGTtCy0XLSuFU3dZEQUJengF8Ujqsv%2BD3Ck3AHZIGSK9OamTcrAa%2B%2FPya3Qbtjvvu0Dvv9R%2F%2BNnyXTHSNXNy2x%2BlDM7wo6jtAQYpLJG3U1UdDc3tmmvLZTppMdOvFReOx7L96gqRCYPgDmhQ5KqOSL1IPSO8125bcKgQTV20vMJ36PKb1%2BL%2F9Gr4lTuLvidbUA55%2FmYM9vlOphlEUVGLFguSD7ddcS2%2BCwkok16pv3CQy8wBJEqPaH3iayC0L9nEe4QoDZ46dQRyhisoa%2BVQDqhfiAk%2FwTmq825%2FmMiPpSpRSqRyPX0erdAgQPzjvm1WucRj2oT7EdUSDxCMs40zfEDn5CclPspyutGC8qdMoAdgh%2BXwi3I8t0xEQ1epP5oTiuSxt6iQ5u5L%2FlOZm24OQLdP6TZEvMZwoBci0o4xFOpWKyKQt77e6yFFoNLtaTjUqPMdbC%2BhdtaNrUz1hTyuPaq1P0iAwJ3ppWahlZRT05XHd1sgIwisiyHOdKor68LPtKM%2BLJqF1fj5z3KBKsU2XGIgS9gOiHGi4P1ZyQz%2F%2FOMKh4%2FOz9le%2F9GqdbEM8c3MP68z8sGOrIBBiuNW5Vc%2Fb4Qm75dm%2Fxraywb9TzN1hXANUXmLZ%2FpAT5qD0jwzJZQbNBeNNIFz14kUpHtmafKImSNNXHdcguCf7evK4wUn7ye6Vv4v2HhKMkjmPTl3tjtmNNCnPwBPCPo4gw1opXVhIT4C5knGfNIul7gj%2BZCbHtfl4opCgBVZ92gK%2F2cpy8FwSMQUi4mHz7SKjfUspQcs9pCVAmnxZj%2FKezyaakHDZ0yXkx3bjjlLmYGbg%3D%3D&X-Amz-Signature=2dff8cc25beb71c863d48911b500c1b3066e67a4aee95ab8412061c2aca51858&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 |