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Quantitative and qualitative insights into the corrosion mitigation mechanism of N,N-dibutyl aniline for mild steel in sulfuric acid
Meenakshi Gupta, Mansi Y. Chaudhary, Neeta Azad, Shramila Yadav
Extreme Materials, 2025, 1(3): 44-60.   DOI: 10.1016/j.exm.2025.07.001

Isotherm Isotherm Equations Temp. (K) Equation R2
Langmuir $\mathrm{l}\mathrm{o}\mathrm{g}\frac{c}{\theta }=\mathrm{l}\mathrm{o}\mathrm{g}c-\mathrm{l}\mathrm{o}\mathrm{g}{K}_{ads}$ (eq. 8) 298 y=0.9763x+0.0023 1
308 y=0.9761x+0.0253 1
318 y=0.9680x+0.0200 1
328 y=0.9675x+0.0651 0.9999
Freundlich $\mathrm{l}\mathrm{o}\mathrm{g}\theta =\mathrm{l}\mathrm{o}\mathrm{g}{K}_{ads}+\frac{1}{n}\mathrm{l}\mathrm{o}\mathrm{g}c$ (eq. 9) 298 y=0.0237x-0.0023 0.9963
308 y=0.0239x-0.0253 0.9430
318 y=0.0320x-0.0200 0.9588
328 y=0.0325x-0.0651 0.9188
Temkin $\theta =\frac{-2.303\mathrm{l}\mathrm{o}\mathrm{g}{K}_{ads}}{2a}-\frac{2.303\mathrm{l}\mathrm{o}\mathrm{g}c}{2a}\mathrm{ }$ (eq.10) 298 y=4.4x+98.15 0.9903
308 y=4.09x+92.66 0.9552
318 y=5.17x+92.78 0.9676
328 y=5.01x+84.89 0.8871
Flory-Huggins $\mathrm{l}\mathrm{o}\mathrm{g}\frac{\theta }{c}=\mathrm{l}\mathrm{o}\mathrm{g}{K}_{FH}+{x}_{FH}\mathrm{l}\mathrm{o}\mathrm{g}(1-\theta )$ (eq. 11) 298 y=6.8517x+9.3482 0.8874
308 y=12.501x+12.123 0.9779
318 y=11.166x+10.501 0.9769
328 y=10.479x+8.9185 0.8040
El-Awady $\mathrm{l}\mathrm{o}\mathrm{g}\frac{\theta }{1-\theta }=\mathrm{l}\mathrm{o}\mathrm{g}{K}^{\text{'}}+\mathrm{y}\mathrm{l}\mathrm{o}\mathrm{g}\mathrm{c}$ (eq. 12) 298 y=0.1502x+1.2984 0.9413
308 y=0.1003x+0.9398 0.9753
318 y=0.1168x+0.9144 0.9790
328 y=0.1071x+0.7213 0.8473
Frumkin $\mathrm{l}\mathrm{n}\frac{\theta }{(1-\theta )c}=\mathrm{l}\mathrm{n}{K}_{ads}+2a\theta \mathrm{ }$ (eq. 13) 298 y=-43.807x+46.103 0.9771
308 y=-48.207x+47.232 0.9480
318 y=-37.939x+37.595 0.9610
328 y=-35.748x+33.068 0.8531
Table 4 Analysis of adsorption behavior using different isotherm models.
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