## 4 Conclusions  
Based on this study's findings, applying the L-H model for treating air containing chlorobenzene and chloronaphthalene using TiO\({}_{2}\) photocatalysis demonstrates promising results. The degradation rates (DRs) were notably influenced by the inlet concentrations of the VOCs and the air effluent flow rate. Higher concentrations of VOCs and increased airflow rates correlated with improved DRs, suggesting an enhanced mass transfer and availability of active species. The facilitation of the initial radical species formation was identified as a critical factor in accelerating the degradation of the adsorbed pollutants, thereby reducing the residence time.  
Furthermore, the L-H model reveals the significant impact of water molecules on the kinetics of VOC conversion during the photocatalytic process. An increase in water content from 5% to 55% enhanced the degradation rate due to the more significant generation of OH\({}^{*}\) radicals. However, a counteractive effect was observed with higher water quantities, wherein competition for the TiO\({}_{2}\) adsorption sites reduced pollutant conversion. Interestingly, this study highlights a consistently higher chlorobenzene than chloronaphthalene degradation rate across varying flow rates, concentrations, and relative humidity conditions. These findings contribute valuable insights into optimizing photocatalytic processes for treating specific volatile organic compounds.  
Investigation, N.A.K., N.B. and Y.S.; formal analysis, N.A.K., N.B. and Y.S.; visualization, N.A.K., N.B. and Y.S.; writing original review, N.A.K., N.B. and Y.S.; conceptualization, L.K., S.L.C. and W.E.; funding acquisition L.K., S.L.C. and W.E.; methodology, L.C., A.B., A.A. and A.A.A.; project administration, L.C., A.B., A.A. and A.A.A.; supervision, L.C., A.B., A.A. and A.A.A.; writing-review and editing, L.C., A.B., A.A. and A.A.A. All authors have read and agreed to the published version of the manuscript.  
This research received no external funding.  
Not Applicable.  
The data supporting the conclusions of this study are accessible from the corresponding author upon reasonable request. The data are not publicly available due to privacy.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**References** & **Reactors** & **Pollutants** & \(k\) & \(K\) \\  & & & **(mM\(\cdot\)m\({}^{-3}\)s\({}^{-1}\))** & **(m\({}^{3}\)\(\cdot\)mM\({}^{-1}\))** \\ \hline
[29] &
\begin{tabular}{c} Front-flow \\ continuous \\ reactor \\ \end{tabular} & Cyclohexane & 0.025 & 7.12 \\ \hline
[28] & Annular reactor &
\begin{tabular}{c} Isovaleraldehyde \\ \end{tabular} & 0.49 & 1.62 \\ \cline{2-5}  & & Trimethylamine & 0.69 & 1.19 \\ \hline
[27] &
\begin{tabular}{c} Continuous \\ reactor \\ \end{tabular} & Chloroform & 0.04 & 2.74 \\ \cline{2-5}  & & Glutaraldehyde & 0.09 & 1.16 \\ \hline \multirow{2}{*}{This study} & \multirow{2}{*}{Cylindric reactor} & Chlorobenzene & 0.92 & 8.4 \\ \cline{2-5}  & & Chloronaphthalene & 0.10 & 9.1 \\ \hline \hline \end{tabular}
\end{table}
Table 5: A comparison of \(k\) and \(K\) values obtained from the literature.  
**Acknowledgments:** The authors gratefully acknowledge the support and funding provided by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU) through the Research Partnership grant, grant number IMSIU-RP23076.  
**Conflicts of Interest:** The authors declare no conflicts of interest.