Environmentally Sustainable Hydrous Zirconium Oxide–Inulin as an Efficient Adsorbent for Ciprofloxacin Removal: Mechanistic and Thermodynamic Insights via Statistical Physics and Fractal-like Kinetic Modeling

Pharmaceutical pollutants like ciprofloxacin (CPF) pose environmental risks due to their persistence and limited removal by conventional treatment methods. To address this, a hydrous zirconium oxide–inulin (HZO–inulin) biomaterial was synthesized via wet precipitation and characterized using Fourier transform infrared spectroscopy (FT-IR), X-ray diffraction, thermogravimetric analysis-difference thermal analysis, X-ray photoelectron spectroscopy, Brunauer–Emmett–Teller surface area analysis, scanning electron microscopy–energy dispersive X-ray spectroscopy, and transmission electron microscopy. HZO–inulin exhibited high chemical stability under various aquatic conditions. CPF adsorption was optimized using the Box–Behnken design with a desirability function approach, achieving 99.28% removal and a maximum adsorption capacity of 181.46 mg/g under optimal conditions (adsorbent dose = 0.01 g, concentration = 85 mg/L, contact time = 35 min). Isotherm analysis using classical and statistical physics models revealed that the Freundlich model best fit the data, suggesting multilayer adsorption, while statistical physics model 2 indicated monolayer adsorption with two energy levels ( R 2 = 0.9994–0.9997). Adsorption energies ( E 1: 28.65–38.62 kJ/mol, E 2: 42.58–54.87 kJ/mol) suggested hydrogen bonding and electrostatic interactions. Thermodynamic studies confirmed spontaneous endothermic adsorption. Kinetic studies at 300 K for CPF concentrations (55, 65, 75 mg/L) followed a fractal-like pseudo-second-order model ( R 2 > 0.998), while diffusion modeling identified boundary-layer diffusion dominance, transitioning to intraparticle diffusion. CPF removal from real water samples was 98.9% (tap water), 99.10% (river water), and 99.15% (wastewater). HZO–inulin retained high adsorption efficiency after eight cycles, confirming its reusability. These findings establish HZO–inulin as an efficient, stable, and sustainable material for water purification applications.