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\DOI{10.5802/crchim.471}
\datereceived{2026-02-03}
\daterevised{2026-06-19}
\dateaccepted{2026-08-14}
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\section*{Declaration of interests}
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\COI{The authors do not work for, advise, own shares in, or receive
funds from any organization that could benefit from this article, and
have declared no affiliations other than their research organizations.}

\dateposted{2026-09-24}
\begin{document}

\begin{noXML}

\CDRsetmeta{articletype}{research-article}

\editornote{Article submitted by invitation}
\alteditornote{Article soumis sur invitation}

\title{Low-cost zeolite X as a high-efficiency adsorbent for 
malachite green removal from aqueous solutions}

\alttitle{Z\'eolite X \`a bas co\^ut comme adsorbant de haute 
efficacit\'e pour l'\'elimination du vert malachite \`a partir de
solutions aqueuses}

\author{\firstname{Manal} \lastname{Sila}}
\address{Department of Material Sciences, Faculty of Material Sciences, 
Mathematics and Informatics, University of Ahmed Draia, Adrar, Algeria}
\email[M. Sila]{manalsila8@gmail.com}

\author{\firstname{Abdelaziz} \lastname{Arroussi}\CDRorcid{0000-0002-0394-1928}\IsCorresp}
\addressSameAs{1}{Department of Material Sciences,  Faculty of Material Sciences, 
Mathematics and Informatics, University of Ahmed Draia, Adrar, Algeria}
\address{Laboratory of Materials Chemistry, Environment and Bioenergy (LCMEB), 
Faculty of Materials Sciences, Mathematics and Informatics, 
University of Ahmed Draia, Adrar, Algeria}
\email[A. Arroussi]{azizchimie01@gmail.com}

\author{\firstname{Hamza} \lastname{Laksaci}\CDRorcid{0000-0001-5971-1606}}
\address{Laboratory of Energies, Environment and Information System (LEESI), 
Faculty of Materials Sciences, Mathematics and Informatics, 
University of Ahmed Draia, Adrar, Algeria}
\email[H. Laksaci]{laksaci.hamza@gmail.com}

\author{\firstname{Abderrahmane} \lastname{Hiri}}
\addressSameAs{2}{Laboratory of Materials Chemistry, 
Environment and Bioenergy (LCMEB), Faculty of Materials Sciences, 
Mathematics and Informatics, University of Ahmed Draia, Adrar, Algeria}
\email[A. Hiri]{hiriabderrahmane@gmail.com}

\author{\firstname{Hakim}\nobreakauthor\lastname{Aguedal}\CDRorcid{0000-0002-2493-7207}}
\address{Department of Preparatory Classes, 
Higher School of Saharan Agriculture, Adrar 01000, Algeria}
\email[H. Aguedal]{hakim.aguedal@gmail.com}

\author{\firstname{Khedim Mohamed} \lastname{Amine}\CDRorcid{0009-0003-6801-7706}}
\address{Laboratoire de technologie et propri\'{e}t\'{e}s des solides (LPTL), 
Universit\'{e} Abdelhamid IBN Badis Mostaganem, Alg\'{e}rie}
\email[K. M. Amine]{amikh2001@yahoo.fr}

\author{\firstname{Ahmed} \lastname{Tahri}\CDRorcid{0000-0002-7684-5523}}
\address{Unit of Renewable Energy Research in the Saharan Environment (URERMS), 
Center for the Development of Renewable Energies (CDER), Adrar 01000, Algeria}
\email[A. Tahri]{tahrimoulayahmed@gmail.com}

\author{\firstname{Salah} \lastname{Jellali}\CDRorcid{0000-0002-4095-4154}\IsCorresp}
\address{Center for Environmental Studies and Research, 
Sultan Qaboos University, Al-Khoud 123, Oman}
\email[S. Jellali]{s.jelali@squ.edu.oman}

\author{\firstname{Mejdi}\nobreakauthor\lastname{Jeguirim}\CDRorcid{0000-0003-2401-5824}}
\address{The Mulhouse Materials Science Institute  (IS2M), 
University of Haute-Alsace, University of Strasbourg, 
CNRS, UMR 7361, F-68100 Mulhouse, France}
\email[M. Jeguirim]{mejdi.jeguirim@uha.fr}

\shortrunauthors

\keywords{\kwd{Zeolite X}
\kwd{Cationic dyes}
\kwd{Wastewater}
\kwd{Adsorption}
\kwd{Cost-effectiveness}}

\altkeywords{\kwd{Z\'eolite X}
\kwd{Colorants cationiques}
\kwd{Eaux us\'ees}
\kwd{Adsorption}
\kwd{Rentabilit\'e}}

\begin{abstract}
This research investigates the preparation of a zeolite X (Z-X), its
deep characterization by using various analytical techniques, and its
ability in adsorbing a typical dye malachite green (MG) from aqueous
solutions under wide batch experimental conditions. The physicochemical
characterization reveals that Z-X is a highly crystalline and pure
faujasite-type material. It has a polyhedral morphology and a
well-developed texture with an enhanced surface area  
(313.8 m$^{2}{\cdot}$g$^{-1}$). Adsorption tests show that 
MG removal from aqueous solutions is rapid and significantly increases
with increasing the solution's pH, the MG initial concentration,
and the  adsorbent dose. The highest MG removal capability is
evaluated to be 166.7 mg${\cdot}$g$^{-1}$ at a temperature
of 10 \textdegree C and exceeds those of various engineered materials.
Moreover, the MG removal is found to be spontaneous, exothermic, and
mainly governed by physical mechanisms. The cost of adsorbent
preparation and application for MG removal and  Z-X regeneration is
evaluated to be 9.24 USD${\cdot}$kg$^{-1}$, which represents an attractive price in
comparison with various available synthetic adsorbents. All these
results show that Z-X can be considered a cost-effective material
for the removal of dyes from industrial effluents.
\vspace*{-2pt}
\end{abstract}

\begin{altabstract}
Ce travail de recherche porte sur la pr\'eparation d'une z\'eolite X
(Z-X), sa caract\'erisation approfondie \`a l'aide de diverses
techniques analytiques, ainsi que sur sa capacit\'e \`a adsorber un
colorant typique, le vert malachite (MG), \`a partir de solutions
aqueuses sous une large gamme de conditions exp\'erimentales en mode
discontinu (batch). La caract\'erisation physicochimique r\'ev\`ele que
la Z-X est un mat\'eriau de type faujasite hautement cristallin et pur.
Elle pr\'esente une morphologie poly\'edrique ainsi qu'une texture bien
d\'evelopp\'ee avec une surface sp\'ecifique relativement \'elev\'ee
(313,8 m$^{2}{\cdot}$g$^{-1}$). Les essais d'adsorption montrent que
l'\'elimination du MG \`a partir des solutions aqueuses est un
processus rapide et croit significativement avec l'augmentation du pH
de la solution, de la concentration initiale en MG et de la dose
d'adsorbant. La capacit\'e maximale d'\'elimination du MG a \'et\'e
\'evalu\'ee \`a 166,7 mg${\cdot}$g$^{-1}$ \`a une temp\'erature de 10
\textdegree C, d\'epassant celles de nombreux mat\'eriaux
synth\'etiques. De plus, l'\'elimination du MG est spontan\'ee,
exothermique et principalement gouvern\'ee par des m\'ecanismes
physiques. Le co\^ut de pr\'eparation de l'adsorbant ainsi que son
application pour l'\'elimination du MG et la r\'eg\'en\'eration du Z-X
a \'et\'e estim\'e \`a 9,24 USD${\cdot}$kg$^{-1}$, ce qui repr\'esente
un prix attractif par rapport \`a divers autres adsorbants. L'ensemble
de ces r\'esultats montre que la Z-X peut \^etre consid\'er\'ee comme
un mat\'eriau rentable et efficace pour l'\'elimination de colorants
\`a partir d'effluents industriels.
\end{altabstract}

%\input{CR-pagedemetas}

\maketitle

\vspace*{-1pt}

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\end{noXML}

\section{Introduction}\label{sec1}
Industrial discharges undeniably contribute to water pollution, posing
significant threats to both environmental and human  health~\cite{1}.
As industrialization accelerates, huge amounts of wastewater are
produced worldwide, requiring the establishment and
application of effective purification methods. In numerous countries,
inadequately treated wastewater is released into rivers and lakes, or
seeps into aquifers, compromising the quality of freshwater 
resources~\cite{2}. Currently, approximately 80\% of the wastewater 
generated is not adequately treated and is discharged into the
environment, leading to harmful impacts on  ecosystems~\cite{3}.
Discharging organic pollutants into aquatic environments has raised
serious concerns due to their potential to cause harmful biological
effects on  ecosystems~\cite{4,5}. For instance, the occurrence of
synthetic dye residues in wastewater poses a substantial problem, as
they can harm ecosystems and adversely affect human health and 
well-being~\cite{6,7}. 

Dyes are widely employed in different industrial fields, such as the
textile  industry~\cite{8,9}, paper production~\cite{10}, food
technology~\cite{11}, photochemical  cells~\cite{12}, and hair
coloring~\cite{13,14}.  Approximately, 15\% of the  dyes used are
released into rivers and other aquatic environments. According to the
World Bank, the textile and dyeing industries contribute to 17--20\% of
global water  pollution~\cite{15}. Malachite green (MG) represents
one of the most largely used dyes in the textile  industry~\cite{16}. It
is a water-soluble cationic dye, appearing as a green crystalline
powder, and belongs to the triphenylmethane class of  dyes~\cite{17}.
This dye has to be removed from wastewater due to its confirmed
negative impacts on both human health and the  environment~\cite{18}. 

Different methods have been tested for the removal of dyes in general
and MG in particular from aqueous solutions, such as solvent
extraction, flocculation, chemical oxidation, coagulation, microbial
fuel cells, and  catalysis~\cite{19,20}. Over the past few years,
adsorption has become one of the most widely used and efficient
techniques, owing to its high efficiency, minimal waste generation, low
operational and maintenance costs, simple design, and adsorbent
regeneration and  reusability~\cite{21}. Numerous adsorbents
have been tested for the removal of MG from aqueous systems, including
nanosilica clay, bioactivated carbon, modified diatomite, and 
zeolites~\cite{22,23,24,25}.

Zeolites are three-dimensional, tetrahedral hydrated aluminosilicate
minerals with mesoporous and microporous structures. They naturally
occur as minerals (such as chabazite, mordenite, and garronite), and
are formed through chemical interactions between volcanic glass and
saline  water~\cite{26}. In addition to natural types, synthetic
zeolites such as A, X, P, and Y can be produced from inexpensive,
naturally abundant materials rich in aluminum and silicon under
strongly alkaline conditions (typically pH ${\sim}$ 12--14)~\cite{27}.
Owing to their porous architecture and significant ion-exchange
capacity, zeolites have found extensive applications in environmental
remediation, industrial catalysis, agriculture, and biomedical 
fields~\cite{28}. They are also used as feed additives in animal 
husbandry~\cite{29}, catalysts in separation and refinery 
industries~\cite{30}, and as efficient adsorbents for wastewater 
treatment~\cite{31}, particularly for dye  removal~\cite{32}. Among
synthetic zeolites, Z-X that is produced under controlled laboratory or
industrial conditions offers high purity, well-defined crystallinity,
and reproducible physicochemical properties that ensure consistent
adsorption and ion-exchange  performance~\cite{33}. These features make
Z-X especially valuable for scientific investigations, process
optimization, and commercial applications, including its use in
chemical sensors, environmental monitoring, and medical 
diagnosis~\cite{34}.

Recent studies have demonstrated that Z-X, owing to its tunable
properties and high efficiency, exhibits promising potential to be used
as a novel sorbent for the elimination of diverse environmental
pollutants. For example,  Samanta et~al.~\cite{35} synthesized
sodium-rich zeolites A and X from \mbox{ladle}~\mbox{furnace} slag  via a
fusion-assisted hydrothermal method, achieving high methylene blue removal 
\mbox{efficiencies} of more than 98\% and 94\%, respectively,
following a Langmuir-type monolayer adsorption mechanism. Moreover, 
Sivalingam and Sen~\cite{36} synthesized  Z-X from nanosized fly
ash and highlighted its strong ability in removing crystal violet dye
from aqueous solutions  (greater than 
$250~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$). This same material was found
to be highly effective in removing methylene  blue~\cite{37}.  However,
most of the studies on zeolites used for dye-rich effluent treatment
have the following drawbacks: (i)~the lack of detailed characterization
of this adsorbent material, (ii)~the imprecise assessment of dye
adsorption characteristics and the mechanisms involved in the overall
removal process, and (iii)~the cost of Z-X synthesis and
application for dye removal. 

Therefore, the novelty of this work lies in various combined
simultaneous points: (i)~in-depth characterization of the
synthesized adsorbent (Z-X) by using complementary analytical devices,
(ii)~the detailed study of MG removal and desorption by Z-X
under wide experimental conditions (contact time, solution pH,
initial dye concentration, sorbent dose, and temperature), (iii)~the
exploration of the involved mechanisms and properties of the adsorption
process through specific analyses of the material before and after MG
removal, and (iv)~the economic cost of the production and application
of Z-X for the treatment of a MG-rich effluent. 

\section{Experimental procedures}\label{sec2} 

\subsection{Chemical reagents}\label{sec2.1} 
The  chemicals used are aluminum chloride (AlCl\tsub{3}; Carlo Erba),
sodium metasilicate
(Na\tsub{2}SiO\tsub{3} [63\% SiO\tsub{2}, 19\% H\tsub{2}O, 18\%
Na\tsub{2}O]; Merck product), 
sodium hydroxide (NaOH; Sigma-Aldrich, USA),
and MG (C\tsub{23}H\tsub{25}N\tsub{2}Cl, 96\% purity; Fluka, Germany).
The solvent used in the whole experiment is deionized water generated
from a controlled water deionizer (Tradesworth Group, Bangladesh).

\subsection{Z-X synthesis procedure}\label{sec2.2}
The preparation of Z-X 
is carried out following the procedure
recognized by the International Zeolite Association  (IZA)~\cite{38}
with minor adjustments.  The first solution (A) is prepared using 2.75~g
of AlCl\tsub{3} \mbox{dissolved} in 25~mL of 0.025~M NaOH. The
second solution (B) is prepared by dissolving  13~g of 
Na\tsub{2}SiO\tsub{3} in 25~mL of 0.025~M NaOH. Afterwards, the two
solutions (A and B) are mixed based on the molar composition of the
starting gel: 3.5~Na\tsub{2}O:1~Al\tsub{2}O\tsub{3}:2.9~SiO\tsub{2}:150~H\tsub{2}O 
under continuous agitation for 40~min by a magnetic agitator
(DLAB, China). Then, the resulting mixture is transferred into a
polypropylene bottle and heated at 90~\textdegree C for 24~h.
Afterwards, the resulting product is filtered with Whatman filter
paper and washed several times with deionized water until the pH of the
washing solution becomes less than 9. The collected product is dried in
an oven at  100~\textdegree C and then stored in a glass bottle for
characterization and application for MG adsorption. The resulting
material is labeled in this study~as~Z-X. 

\subsection{Characterization of Z-X}\label{sec2.3} 
The morphological characteristics and chemical composition of Z-X were
analyzed using a field emission scanning electron microscope (SEM) JEOL
JSM-6060LV coupled with EDS analysis (JEOL, USA). The crystalline
phases in Z-X were examined by X-ray powder diffraction (XRD)
with a Benchtop Proto AXRD instrument (Proto Manufacturing Inc., USA).
The XRD data were collected for a  $2\theta$ range between 5\textdegree\  and
70\textdegree\ using a step size of
$0.02\text{\textdegree}{\cdot}\mathrm{s}^{-1}$. The surface area of the
material was evaluated using the Brunauer--Emmett--Teller (BET) method
based on nitrogen adsorption--desorption isotherms with a Quadrasorb
SI-KR/MP analyzer (Quantachrome Instruments, Boynton Beach, USA) at a
liquid nitrogen temperature of 77~K. The Fourier-transform infrared
(FTIR) spectra were obtained using a CARY 600
instrument (Agilent Technologies, Inc.\ USA) in the wavenumber range of
400--4000~cm$^{-1}$ with a resolution of  2~cm$^{-1}$. The pH at the
point of zero charge $(\mathrm{pH}_{\mathrm{pzc}})$ 
was determined through the pH drift method
for initial pH $(\mathrm{pH}_{\mathrm{i}})$ values of 2, 4, 6, 8, 10, and 12.
The $\mathrm{pH}_{\mathrm{pzc}}$ value of Z-X
corresponds to the  intersection point between the bisector line and
the curve, giving the variation of the final pH
$(\mathrm{pH}_{\mathrm{f}})$ versus the initial pH 
$(\mathrm{pH}_{\mathrm{i}})$.

\subsection{Adsorption study}\label{sec2.4}
The MG-adsorption efficiency by Z-X was evaluated through batch
experiments. These assays were \mbox{carried} out in 100~mL Erlenmeyer
flasks, each  containing a fixed mass of adsorbent and 25~mL of MG
solution at a given initial concentration and temperature, and then
agitated for a required contact time. Unless specified, the following
default adsorption parameters were used: a contact time of 60~min, a pH
of 6, a MG initial concentration of
$10~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$, an adsorbent dose of 
$0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$, and an ambient room temperature
(20~\textdegree C). Throughout this work, we evaluate the effect of
(i)~contact time for values varying between 5 and  300~min, (ii)~the
initial pH values between 3 and 10, (iii)~the initial MG concentration
for a variation range of 
$10\ndash100~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$, (iv)~the adsorbent
dose for values from 0.4 to  $2~\mathrm{g}{\cdot}\mathrm{L}^{-1}$, and
(v)~temperature (between  10~\textdegree C and  30~\textdegree C) on MG
removal efficiency from synthetic aqueous solutions. Following each
adsorption test, the suspensions were centrifuged by a Sigma 2--7
centrifuge (Sigma, Germany) and the residual MG concentration was
measured using a UV--visible spectrophotometer V-630 (JASCO, France) at
a wavelength of 622~nm.

At a given time $t$, the MG-adsorbed amount 
$Q_t~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ is estimated using the
following equation:
{\begin{equation}\label{eq1}
Q_t= \frac{V}{m} (C_0-C_t)
\end{equation}}\unskip
where $C_0$ and $C_{t}$ are the initial and time-$t$ MG
concentrations $(\mathrm{mg}{\cdot}\mathrm{L}^{-1})$, respectively; 
$V$ and  $m$ are the volume of the solution (L) and the adsorbent
mass  (g), respectively. 

The kinetic experimental data are examined by the pseudo-first-order
(PFO), pseudo-second-order (PSO), intraparticle diffusion (IPD), and
Elovich models. Likewise, the isotherm experimental data are fitted
with Langmuir, Freundlich, and Temkin models. The equations
corresponding to these models are provided in the supplementary
material  (Table~S1). 
For both cases, the goodness of fit 
between the experimental and calculated values is deduced from the
related correlation coefficients and the mean absolute percentage
error (MAPE):
{\begin{equation}\label{eq2}
\mathrm{MAPE}(\%)= \frac{100}{n}\sum_{i=1}^{n}
\frac{|Q_{\mathrm{exp}}-Q_{\mathrm{calc}}|}{Q_{\mathrm{exp}}}
\end{equation}}\unskip
where $n$ represents the number of experimental data points. The
$Q_{\mathrm{exp}}$ and $Q_{\mathrm{calc}}$ are the experimental and
calculated adsorbed quantities, respectively, by either the kinetic or
isotherm models. 

The effect of temperature on MG uptake by Z-X was assessed for aqueous
solution temperatures of 10~\textdegree C,  20~\textdegree C, and 
30~\textdegree C. Then the related thermodynamic parameters---free
energy $(\Delta G~[\mathrm{kj}{\cdot}\mathrm{mol}^{-1}])$, enthalpy
$(\Delta H~[\mathrm{kJ}{\cdot}\mathrm{mol}^{-1}])$, and entropy
$(\Delta S~[\mathrm{j}{\cdot}\mathrm{mol}^{-1}{\cdot}\mathrm{K}^{-1}])$---of
the MG adsorption onto Z-X were deduced from the following
equations: 
{\begin{eqnarray}
\Delta G\text{\textdegree} &=& \Delta H\text{\textdegree}-T\Delta S\text{\textdegree} \label{eq3}\Seqnsplit
\Delta G\text{\textdegree} &=& -R\times T\times \mathrm{Ln}(K_{\mathrm{d}}) \label{eq4}\Seqnsplit
\mathrm{Ln}(K_{\mathrm{d}}) &=& \frac{-\Delta H\text{\textdegree}}{R}\times \frac{1}{T}+
\frac{\Delta S\text{\textdegree}}{R} \label{eq5}
\end{eqnarray}}\unskip
where $K_{\mathrm{d}}$ is the equilibrium constant expressed by 
Equation~(\ref{eq6})~\cite{39}:
{\begin{equation}\label{eq6}
K_{\mathrm{d}}= \frac{Q_{\mathrm{e}}}{C_{\mathrm{e}}}\times \frac{V}{m}
\end{equation}}\unskip

\subsection{Regeneration study}\label{sec2.5}  
The MG desorption experiments were conducted by using the experimental
protocol from previous  works~\cite{40}. Briefly, 0.1~g of
MG-loaded sorbent was agitated in 100~mL of distilled water at 
100~\textdegree C and under reflux for 6~h. Then the solid matrix was
dried at  105~\textdegree C for 12~h and used for the second adsorption
cycle. During the new adsorption cycle, this dried mass was shaken
in a concentration of MG solution at 
$100~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$ for 180~min. This procedure was
repeated for four adsorption/desorption cycles. At a given cycle $i$,
the desorbed amount per unit of modified adsorbent
$(Q_{\mathrm{des},i}~[\mathrm{mg}{\cdot}\mathrm{g}^{-1}])$ and the
desorption yield  $(Y_{\mathrm{des},i})$ are calculated as follows:
{\begin{eqnarray}
Q_{\mathrm{des},i} &=& \frac{V_{\mathrm{des}}}{m_{\mathrm{des}}}
C_{\mathrm{des},i} \label{eq7}\Seqnsplit
Y_{\mathrm{des},i} &=& \frac{Q_{\mathrm{des},i}}{Q_{\mathrm{e}}} \times 100
\label{eq8}
\end{eqnarray}}\unskip
where $m_{\mathrm{des}}$ and $V_{\mathrm{des}}$ are the mass and
volume used during the desorption phase. 

All batch experiments were conducted in triplicate, and the reported
values represent the mean of three independent measurements. 

\section{Results and discussion}\label{sec3} 

\subsection{Adsorbent characterization}\label{sec3.1} 

\subsubsection{Textural and structural analysis}\label{sec3.1.1} 
The SEM was employed to analyze the Z-X morphology. The results 
(Figure~\ref{fig1}) show that Z-X has a polyhedral structure with
smooth crystalline surfaces. Furthermore, the crystallites form and
develop with varying particle sizes. The EDS analysis
\mbox{(Table~\ref{tab1})} shows that Z-X is mainly composed of O, Al, Na, and
Si, which is consistent with those reported for coal fly ash--derived
microporous  Z-X~\cite{41}. Moreover, the XRD spectrum of the
synthesized zeolite indicates the presence of
various characteristic diffraction peaks (111, 220, 311, 331, 442, 533,
642, 751, and 840) with high relative diffraction intensities
at $2\theta$ values of 6.23\textdegree,  10.1\textdegree,  11.8\textdegree, 
15.6\textdegree,  20.8\textdegree,  23.0\textdegree,  26.8\textdegree,
31.1\textdegree, and 33.5\textdegree, respectively 
(Figure~\ref{fig2}). Comparable data were reported by  Deng 
et~al.~\cite{42} and Sivalingam  et~al.~\cite{43} during the synthesis of
Z-X from waste basalt powder and fly ash, respectively. Compared to the
JCPDS standard data (No.~38-0237), the sample exhibits sharp and
well-defined diffraction peaks with no detectable impurities. These
results indicate that the Z-X sample does not exhibit secondary
crystalline phases, suggesting high structural purity. The broad
diffraction features observed at around  23.1\textdegree\ and 
26.8\textdegree\ are indicative of low crystallinity or partial
structural disorder, which may contribute to the development of
accessible pore structures rather than a strictly microporous
framework.

\begin{figure}
\includegraphics{fig01}
\vspace*{-2pt}
\caption{\label{fig1}SEM image of the Z-X material.} 
\vspace*{-4pt}
\end{figure}
                                                                        
\begin{figure}
\includegraphics{fig02}
\caption{\label{fig2}XRD diffractogram of the Z-X material.}
\end{figure}

\begin{table}
\caption{\label{tab1}EDS analysis results of Z-X}
\begin{tabular}{cc} 
\thead
Element & Content (\%)\\ 
\endthead
C & \0\03.047\\ 
O & \047.539 \\ 
Na & \010.170 \\ 
Al & \013.451 \\ 
Si & \025.416 \\ 
Fe & \0\00.377 \\ 
Total & 100.00\0
\botline
\end{tabular}
\end{table}

Given the relatively large molecular size of MG \mbox{(1--5~nm),}
mesoporous domains are expected to play a crucial role in facilitating
molecular diffusion and adsorption.  In this regard, the relatively
high BET specific surface area 
$(313.8~\mathrm{m}^{2}{\cdot}\mathrm{g}^{-1})$, together with the SEM
observations, supports the presence of a well-developed porous network
that is favorable for dye adsorption.

\subsubsection{Surface chemistry analysis}\label{sec3.1.3}
The FTIR  spectrum of the prepared Z-X \mbox{(Figure~\ref{fig3})} shows
an intense peak at 950~cm$^{-1}$ and a broad peak at 447~cm$^{-1}$,
both ascribed to asymmetric Si--O--Si stretching, which confirms that
the zeolite is a quartz-rich  material~\cite{44}. Moreover, the narrow
bands at 693~cm$^{-1}$ and  666~cm$^{-1}$ correspond to the symmetric
and asymmetric stretching of Si--O--Si and Si--O--Al, 
respectively~\cite{45}. The peak at 495~cm$^{-1}$ is associated with the
bending modes of these tetrahedral  groups~\cite{46}. Other narrow
bands are detected between 447 and  487~cm$^{-1}$ and may be attributed
to Si--O and Al--O bending  modes~\cite{47}. In addition, the band at
1621~cm$^{-1}$ is related to the bending vibration peak of hydrated
water molecules in zeolite  cavities~\cite{48}. Finally, the broad
peak at  3466~cm$^{-1}$ is attributed to the stretching vibrations of
O--H groups originating from adsorbed water molecules and/or hydroxyl
groups within the 
\mbox{zeolite}  framework~\cite{49}. This finding confirms
the generation of a well-formed aluminosilicate framework with the clear
presence of hydroxyl groups, which provide active sites that could
facilitate interactions with cationic dye molecules during the
adsorption \mbox{process.}

\begin{figure}
\includegraphics{fig03}
\vspace*{-2pt}
\caption{\label{fig3}FTIR spectrum of synthesized Z-X.}
\vspace*{-4pt}
\end{figure}

\subsection{MG-adsorption study}\label{sec3.2}

\subsubsection{Effect of contact time: kinetic study}\label{sec3.2.1}
The contact time influence on MG adsorption using Z-X was
examined under the experimental conditions outlined in 
Section~\ref{sec2.3}. Experimental results  (Figure~\ref{fig4}) show 
rapid adsorption kinetics, attaining a saturation level after 60~min.
The sharp increase in $\mathrm{Q}_{t}$ up to  60~min can be
associated with the high number of vacant surface sorption sites at the
beginning of the adsorption assay. With time, electrostatic repulsion
between the cationic dye molecules already adsorbed on the zeolite
surface and those in solution hinders access to the remaining active
sites, leading to a gradual decrease in adsorption until equilibrium is
reached. An equilibrium time of  60~min was also observed for MG
adsorption using apricot  stones~\cite{50}, \textit{Lupinus albus} seed
peel  waste~\cite{51}, zeolite/iron oxide  nanocomposite~\cite{52}, and
natural red  clay~\cite{53}. This short contact time represents an
important asset in real applications since it significantly reduces 
energetic expenses (i.e., agitation). Higher contact times were
reported for MG removal by Na-X (120~min)~\cite{54} and Z-X (720~min)~\cite{42}. 
The shorter equilibrium time observed in this study may be 
\mbox{attributed} to the better accessibility of MG 
to Z-X active sites, which results in an
enhanced mass transfer from the aqueous to the solid phase.

\begin{figure}
\includegraphics{fig04}
\vspace*{-4pt}
\caption{\label{fig4}Influence of contact time on the adsorption of MG
onto the synthesized Z-X (initial concentration: 
$10~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$, adsorbent dose: 
$0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$, ambient temperature, pH:
6.06).}
\vspace*{-6pt}
\end{figure}

It is worth mentioning that the MG adsorption on Z-X occurs in
three  stages~\cite{55}: (i)~a rapid adsorption (between 5 and  30~min)
due to the availability of free surface sites, leading to a linear
increase in adsorption capacity, (ii)~a slower adsorption rate (between
30 and  60~min) as MG concentration and available sites decrease, and
(iii)~stabilization of adsorption capacity as saturation is reached
(after  60~min).

The adsorption kinetic experimental data were fitted with the PFO, PSO,
Elovich, and IPD models. The results are shown in  Figure~\ref{fig4} and
Table~\ref{tab2}. It is evident that the PSO, IPD, and Elovich
models fail to describe the entire range of the adsorption data 
\mbox{(Figure~\ref{fig4}).} The PSO model suitability is limited only to the
initial time range as described by other  studies~\cite{56}. The PFO
model provides the best fit to the experimental data  (Figure~\ref{fig4}).
This model exhibits the highest determination coefficient
$(R^{2})$ and the lowest MAPE values  (Table~\ref{tab2}). Furthermore,
the corresponding calculated $Q_{\mathrm{e}}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ is 
the closest to the experimental value  $(Q_{\mathrm{e},\mathrm{exp}})$ 
(Table~\ref{tab2}). This finding may be attributed to (i)~fast
initial adsorption followed by slower later-stage interactions and
(ii)~limited IPD. The time required to reach 
equilibrium and the  $k_1$ value are comparable to those reported by
Imessaoudene  
\mbox{et~al.}~\cite{47} when investigating methylene blue
adsorption by a 4A zeolite. 

\begin{table*}
\caption{\label{tab2}Kinetic  parameters for MG removal by the
synthesized Z-X}
\tabcolsep 8pt
\begin{tabular}{ccc}
\thead
Model & Parameter & Value \\
\endthead
 & $Q_{\mathrm{e},\mathrm{exp}}$ & $254.84\pm 2.78$
 \vspace*{6pt}\\ 
\morerows{3}{PFO} &
$k_{1}~(\mathrm{min}^{-1})$ &
$0.073\pm 0.0012$ \\
 & $Q_{\mathrm{e}}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ &
 $251.86\pm 1.85$ \\
 & $R^2$ & $0.990$ \\
 & MAPE (\%) & $3.47$
\vspace*{6pt}\\ 
\morerows{3}{PSO} &
$k_2~(\mathrm{g}{\cdot}{\mathrm{mg}^{-1}}{\cdot}\mathrm{min}^{-1})$ &
$(4.238\pm 0.32)\times10^{-4}$ \\
 & $Q_{\mathrm{e}}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ & 
 $272.03 \pm 1.12$ \\
 & $R^2$ & 0.989 \\
 & MAPE (\%) & 23.49
\vspace*{6pt}\\
\morerows{3}{IPD} & 
$K_{\mathrm{in}}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1}{\cdot}\mathrm{min}^{-1/2})$ & 
$11.868\pm 0.13$ \\
 & C & $108.06\pm 0.68$\\
 & $R^2$ & 0.625 \\
 & MAPE (\%) & 15.36
\vspace*{6pt}\\ 
\morerows{3}{Elovich} &
$\alpha~(\mathrm{mg}{\cdot}\mathrm{g}^{-1}{\cdot}\mathrm{min}^{-1})$ & 
$84.45\pm 0.85$ \\
 & $\beta~(\mathrm{g}{\cdot}\mathrm{mg}^{-1})$ &
$0.0264\pm 0.008$ \\
 & $R^2$ & 0.931 \\
 & MAPE (\%) & 9.20
\botline
\end{tabular}
\vspace*{-2pt}
\end{table*}

In contrast, the nonlinear fitting of the IPD model 
(Figure~\ref{fig4}) reveals a multi-stage adsorption process
characterized by two distinct regions. The first (steeper region)
corresponds to the rapid external surface sorption while the  second
(gradual region) represents the slower intraparticle diffusion of MG
molecules into the internal pores of Z-X. The obtained curve does not
intersect with the origin, indicating that IPD participates in the
overall adsorption process but is not the only rate-limiting step. The
Elovich model, often applied to heterogeneous surfaces, further
supports this interpretation, describing a decreasing adsorption rate
over time due to surface site heterogeneity and variable dye--adsorbent
affinities. Comparable conclusions have been reported by Nandi 
et~al.~\cite{57} and Noroozi  et~al.~\cite{58} when investigating the
adsorption of brilliant green and basic blue dyes by kaolin and
silkworm pupa based adsorbents.

\begin{figure}
\includegraphics{fig05}
\vspace*{-2pt}
\caption{\label{fig5}Effect of adsorbent dose on the MG removal yield
(initial MG concentration:  $10~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$,
volume: 25~mL, ambient temperature, initial pH: 6.06).}
\vspace*{-4pt}
\end{figure}

\subsubsection{Effect of adsorbent dose}\label{sec3.2.2} 
Figure~\ref{fig5} illustrates the influence of Z-X dose on the
removal efficiency of MG by Z-X. The MG removal yield shows only a
slight increase as the {sorbent} dose increases from 0.4 to 
$2~\mathrm{g}{\cdot}\mathrm{L}^{-1}$. This limited variation suggests
that most MG molecules are already removed at low doses, leading to a
plateau behavior. Consequently, at fixed operating conditions, the
adsorption yield increases with adsorbent dose owing to the
availability of additional active surface sites. However, the improvement
becomes negligible beyond a certain dose due to the low \mbox{residual} dye
concentration in the aqueous phase. A pseudo-equilibrium state can be
observed that most likely results from the saturation of 
available sorption sites~\cite{59}. Although the plateau is reached at
around  $1.2~\mathrm{g}{\cdot}\mathrm{L}^{-1}$, a relatively high
removal efficiency (around 85\%) is obtained at 
$0.8~\mathrm{g}{\cdot}\mathrm{L}^{-1}$. This suggests that the use of a
low Z-X dose  $(0.8~\mathrm{g}{\cdot}\mathrm{L}^{-1})$ may be more
practical in real-case conditions as it ensures efficient MG removal
while minimizing the excessive depletion of the Z-X material.\looseness=-1

\subsubsection{Effect of pH}\label{sec3.2.3}
The pH is a key factor influencing dye removal performance as it
affects both the ionization state of dye molecules and the surface
charge of the adsorbent. This may significantly control the strength
and nature of electrostatic interactions involved in the 
\mbox{adsorption}
process. The pH solution influence on the MG uptake by Z-X was examined
under the experimental conditions outlined in  Section~\ref{sec2.3}.
The results  (Figure~\ref{fig6}) indicate that the maximum removal
capacity of  $18.3~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ is achieved at
an initial pH of 10. Then the uptake yield progressively diminishes
with decrease in initial pH value. The lowest value  (less than 
$0.5~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$) is measured at an acidic pH of
3  (Figure~\ref{fig6}). 

\begin{figure}
\includegraphics{fig06}
\caption{\label{fig6}Effect of solution pH on MG removal capacity
by the synthesized zeolite (initial concentration: 
$10~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$, volume: 25~mL, time:  60~min,
adsorbent dose $0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$).}
\end{figure}

This behavior can be attributed to the dependence of the net surface
charge of Z-X on the type and ionization state of its surface
functional groups, which can carry either positive or negative charges
depending on both the values of the solution pH and the
$\mathrm{pH}_{\mathrm{pzc}}$ of the Z-X material. The Z-X has a
$\mathrm{pH}_{\mathrm{pzc}}$ value of 6.0 (Figure~S1), which is consistent
with values reported for other natural  zeolites~\cite{60}. For aqueous
pH values higher than 6.0, the surface of Z-X is predominantly
negatively charged, favoring the adsorption of the cationic MG dye
through electrostatic attraction. In contrast, under acidic conditions 
$(\mathrm{pH}<6.0)$, the excess of $\mathrm{H}^{+}$ ions neutralize negatively
charged surface sites, resulting in electrostatic repulsion and also
competition with $\mathrm{H}^+$ protons~\cite{47,61}. 

To contextualize the results, Table~\ref{tab3} presents the typical pH
variation range of various industrial wastewaters. It can be clearly
deduced that the proposed Z-X material can be used for the treatment of
effluents with high alkaline pH, especially those from textile and dye
manufacturing activities.

\begin{table}
\caption{\label{tab3}Typical pH variation ranges of different
effluents}
\tabcolsep 3pt
\begin{tabular}{ccc}
\thead
Industry type & Typical pH range & Reference \\ 
\endthead
Textile & 5.0--12.0 & \cite{62,55} \\ 
Pulp and paper & 6.0--9.5\0 & \cite{63} \\ 
Tannery (leather) & 3.0--11.0 & \cite{4} \\ 
Dye manufacturing & 4.0--10.0 & \cite{5} \\ 
Food processing & 4.0--7.5\0 & \cite{64} \\ 
Electroplating/metal & 2.0--11.0 & \cite{7} \\ 
Brewery/distillery & 4.0--7.0\0 & \cite{8}
\botline
\end{tabular}
\end{table}

\begin{table*}
\caption{\label{tab4}Isotherm parameters of MG adsorption onto Z-X at
different temperatures}
\begin{tabular}{ccccc}
\thead
\xmorerows{1}{Temperature} & \xmorerows{1}{Parameters} &
\multicolumn{3}{c}{Values} \\
\cline{3-5}
 & & 10~\textdegree C & 20~\textdegree C & 30~\textdegree C \\ 
\endthead
\morerows{4}{Langmuir} & 
$K_{\mathrm{L}}$ & \0\00.185 & \0\00.115 & \00.315 \\
 & $R_{\mathrm{L}}$ & \0\00.35\0 & \0\00.46\0 & \00.24\0 \\
 & $Q_{m}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ &
 166.74\0 & 104.55\0 & 36.98\0 \\
 & $R^{2}$ & \0\00.990 & \0\00.997 & \00.999 \\
 & MAPE (\%) & \0\08.91\0 & \0\02.77\0 & \00.56\0 
\vspace*{6pt}\\ 
\morerows{3}{Freundlich} & 
$K_{\mathrm{F}}$ & \034.34\0 & \015.57\0 & \013.50 \\
 & $1/n$ & \0\00.486 & \0\00.526 & \00.293 \\
 & $R^2$ & \0\00.923 & \0\00.969 & \00.955 \\
 & MAPE (\%) & \017.42\0 & \010.35\0 & \05.04\0 
 \vspace*{6pt}\\ 
\morerows{3}{Temkin} & 
$B~(\mathrm{J}{\cdot}\mathrm{mol}^{-1})$ &
\038.97\0 & \022.838 & \07.476 \\
 & $A~(\mathrm{L}{\cdot}\mathrm{mg}^{-1})$ &
 \0\01.589 & \0\01.182 & \03.807 \\
 & $R^{2}$ & \0\00.993 & \0\00.995 & \00.995 \\
 & MAPE (\%) & \0\04.45\0 & \0\05.94\0 & \02.77\0 
\vspace*{6pt}\\ 
\morerows{4}{Sips} & 
$k_{\mathrm{L~Sips}}$ & 
\0\00.290 & \0\00.145 & \00.325 \\
 & $Q_{\text{max~Sips}}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ & 
 131.43\0 & \093.94\0 & 36.39\0 \\
 & $n_{\mathrm{Sips}}$ & 
 \0\01.527 & \0\01.132 & \01.045 \\
 & $R^{2}$ & 
 \0\00.998 & \0\00.998 & \00.999 \\
 & MAPE (\%) &
 \0\02.25\0 & \0\02.11\0 & \00.40\0 
 \botline
\end{tabular}
\vspace*{4pt}
\end{table*}

\subsubsection{Effect of initial concentration: adsorption isotherm
study}\label{sec3.2.4} 
The influence of MG concentrations from 10 to 
$300~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$ on its removal by the
synthesized zeolite is depicted in  Figure~\ref{fig7}. It can be clearly
seen that as the dye concentration increases, the MG-adsorbed amount
increases. The removed MG amounts significantly increase from
21.1 to  $117.5~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ at  10~\textdegree
C, from 13.9 to  $71.6~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ at 
20~\textdegree C, and from 13.2 to 
$32.5~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ at  30~\textdegree C. 
This effect results from the increased driving force
provided by higher MG concentrations, which helps overcome the mass
transfer resistance of the dye from the liquid phase to the solid
phase. Therefore, increasing the concentration of initial cationic
dyes boosts dye adsorption onto the surface of Z-X~\cite{52}. As
the initial dye concentration increases, the available active sites on
the adsorbent surface gradually become occupied by cationic dye
molecules, leading to surface saturation; beyond this point, the
removal efficiency decreases due to the limited number of remaining
adsorption  sites~\cite{65}. Additionally, an increase in temperature
leads to a noticeable decrease in the adsorbed amounts, indicating that
lower temperatures favor the uptake of MG onto Z-X. This
improvement can be ascribed to the increased diffusion of dye molecules and
greater accessibility of active sites at elevated temperatures. 

\begin{figure}
\includegraphics{fig07}
\caption{\label{fig7}Isotherm data of MG removal using Z-X (time:
60~min, pH: 6.06, initial concentration: 
$10\ndash100~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$, adsorbent dose: 
$0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$).}
\end{figure}

The isotherm experimental data were fitted with Langmuir, Freundlich,
Temkin, and Sips models. The results are presented in  Figures~S2--S4 in
the supplementary material and in  Table~\ref{tab4}. They show that the
Langmuir, Temkin, and Sips isotherm models fit the experimental data.
For these three models, the  $R^2$ values vary between 0.990 and 0.999
and the MAPE between 0.4\% and 8.9\%. The Freundlich model yields the
worst fit to the experimental data with lower $R^2$ values (0.923--0.969) and
higher MAPE (between 5.04\% and 17.42\%). 

The Langmuir isotherm assumes that the sorbent surface has uniform
energy. When it adequately fits the experimental data, it suggests that
the pollutant adsorption is homogeneous and occurs on monolayers. The
adsorption capacity was estimated by this model to be 166.7, 104.6, and 
$37.0~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ at  10~\textdegree C, 
20~\textdegree C, and 30~\textdegree C, respectively 
(Table~\ref{tab4}). Moreover, the related  $R_{\mathrm{L}}$ values were found to
be between 0 and 1, indicating MG-favorable adsorption by  Z-X.
This favorability is also confirmed by the Freundlich $1/n$ values,
which are lower than 1 for the three studied temperatures. For the
Temkin isotherm, the constant A, representing the equilibrium binding
constant of MG, was determined to be 1.589, 1.182, and
$3.807~\mathrm{L}{\cdot}\mathrm{mg}^{-1}$ at  10~\textdegree C, 
20~\textdegree C, and 30~\textdegree C, respectively. Moreover, the
highest value of the $b_{\mathrm{T}}$ constant  $(B = RT/b_{\mathrm{T}})$, which reflects
the heat of adsorption, was also obtained at 10~\textdegree C,
indicating more favorable adsorption interactions at this temperature.
On the other hand, the values obtained from the Sips analysis support
the Langmuir isotherm. Furthermore, according to the Sips model, the
Mg-adsorption capacities were calculated to be 131.43, 93.94, and 
$36.39~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ at 10, 20, and 
30~\textdegree C, respectively. A similar trend was observed by 
Abdelrahman~\cite{66} and Radoor  et~al.~\cite{67} when investigating MG
removal by zeolite nanostructures and a ZSM-5 zeolite based 
biocomposite, respectively. 

Based on the results of this study, a comparison was made between the
MG removal performance of the synthesized Z-X and previously reported
adsorption studies.  This is summarized in  Table~\ref{tab5}. 

\begin{table*}
\caption{\label{tab5}Comparison of MG-adsorption capacity onto
Z-X with other adsorbents}
\begin{tabular}{ccccc} 
\thead
Adsorbent & Adsorbent properties & Adsorption parameters &
$Q_{\mathrm{max}}~(\mathrm{mg}{\cdot}\mathrm{g}^{-1})$ & Reference \\ 
\endthead
Nanobentonite &
\parbox[t]{3.5cm}{\centering
MgO ${=}$ 52.96\%, 
$\mathrm{SiO}_2=27.68\%$, 
$\mathrm{Al}_2\mathrm{O}_3=10.45\%$, 
$\mathrm{Fe}_2\mathrm{O}_3= 6.06\%$; 
$\mathrm{pH}_{\mathrm{pzc}}=5.5$}\vspace*{8pt} &
\parbox[t]{3.5cm}{\centering
$t= 60$~min;
$C_0=50\ndash250~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$; 
$D=10~\mathrm{g}{\cdot}\mathrm{L}^{-1}$; 
pH ${=}$ 7; $T=35~\text{\textdegree}$C} & 
\013.8\0 & \cite{68}\\ 
\parbox[t]{3.5cm}{\centering
ZSM-5 zeolite/polyvinyl alcohol} &
No properties given &
\parbox[t]{3.5cm}{\centering
$t= 220$~min; 
$C_{0}= 10\ndash100~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$; 
$D=50~\mathrm{g}{\cdot}\mathrm{L}^{-1}$; 
pH ${=}$ 10; $T=25~\text{\textdegree}$C}\vspace*{8pt} & 
\029.58 & \cite{69} \\ 
Zeolite 13X & $\mathrm{pH}_{\mathrm{pzc}}=7.8$ & 
\parbox[t]{3.5cm}{\centering
$t= 50$~min;
$C_0= 70~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$;
$D= 0.2~\mathrm{g}{\cdot}\mathrm{L}^{-1}$; 
$\mathrm{pH}= 12$; 
$T= 45~\text{\textdegree}$C}\vspace*{8pt} & 
\091.92 & \cite{70} \\ 
Natural zeolite & 
\parbox[t]{3.5cm}{\centering
$\mathrm{SiO}_{2}= 68.62\%$,
$\mathrm{Al}_{2}\mathrm{O}_{3}= 12.64\%$, 
$\mathrm{FeO}_{3}= 1.50\%$,
MgO ${=}$ 0.84\%, 
CaO ${=}$ 1.89\%, 
$\mathrm{Na}_{2}\mathrm{O} = 0.70\%$,
$\mathrm{K}_{2}\mathrm{O}= 3.43\%$,
CuO ${=}$ 0.75\%; 
loss on ignition ${=}$ 9.63\%}\vspace*{8pt}  &
\parbox[t]{3.5cm}{\centering
$t= 7$~min;
$C_0= 79~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$; 
$D= 0.068~\mathrm{g}{\cdot}\mathrm{L}^{-1}$; 
pH ${=}$ natural; 
$T=25~\text{\textdegree}$C} & 
\098.04 & \cite{71} \\ 
\parbox[t]{2.5cm}{\centering
Modified diatomite} & 
\parbox[t]{3.5cm}{\centering
$\mathrm{SiO}_{2}= 54.2\%$,
CaO ${=}$ 11.6\%,
MgO ${=}$ 0.34\%,
$\mathrm{Al}_{2}\mathrm{O}_{3}= 16.2\%$,
MnO ${=}$ 0.15\%, 
$\mathrm{TiO}_{2}= 0.59\%$,
$\mathrm{K}_{2}\mathrm{O}= 2.7\%$,
$\mathrm{Na}_{2}\mathrm{O}= 8.8\%$, 
$\mathrm{Fe}_{2}\mathrm{O}_{3}= 1.5\%$;
loss on ignition ${=}$ 4.0\%;
BET-SA ${=}$ 87.5~m$^{2}$/g;
TPV ${=}$ 0.1148~cm$^{3}$/g;
APS ${=}$ 4.24~nm;
$\mathrm{pH}_{\mathrm{pzc}}= 10.1$}\vspace*{8pt} & 
\parbox[t]{3.5cm}{\centering
$t= 60$~min;
$C_0= 10\ndash400~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$; 
$D=1~\mathrm{g}{\cdot}\mathrm{L}^{-1}$;
pH ${=}$ 10;
$T=15~\text{\textdegree}$C} & 
420.0\0 & \cite{72} \\ 
Zeolite X &
\parbox[t]{3.5cm}{\centering
C ${=}$ 3.05\%,
O ${=}$ 47.54\%,
Na ${=}$ 10.17\%, 
Si ${=}$ 25.42\%,
Al ${=}$ 13.45\%,
Fe ${=}$ 0.38\%; 
$\mathrm{BET}\hyphen\mathrm{SA}= 313.8~\mathrm{m}^2{\cdot}\mathrm{g}^{-1}$;
$\mathrm{pH}_{\mathrm{pzc}}= 6.0$} &
\parbox[t]{3.5cm}{\centering
$t= 60$~min;
$C_0= 10\ndash100~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$; 
$D= 0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$;
pH ${=}$ 6.06;
$T= 10~\text{\textdegree}$C} & 
166.7\0 & This study 
\botline
\end{tabular}
\tabnote{$t$: contact time; $C_0$: MG initial concentration;
$D$: adsorbent dose;  $T$: temperature; BET-SA: BET surface area; TPV:
total pore volume; APS: average pore size.}
\end{table*}

Based on  Table~\ref{tab5}, it can be deduced that the proposed Z-X can be
considered an attractive material for removing MG from aqueous
solutions. The MG-adsorption capacity of the proposed Z-X is around
12.0, 5.6, and 1.8 times higher than those obtained for 
nanobentonite, ZSM-5 zeolite/polyvinyl alcohol, and zeolite 13X,
respectively. 

\subsubsection{Effect of temperature: thermodynamic
study}\label{sec3.2.5} 
The effect of temperature on MG removal by Z-X was evaluated for
aqueous solution temperatures of 10, 20, and  30~\textdegree C, a
contact time of 60~min, an initial pH of 6.06, and an adsorbent dose
of $0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$. The thermodynamic
parameters comprising Gibbs free energy, enthalpy, and entropy (calculated 
from the graph in  Figure~S5) are presented in  Table~\ref{tab6}. The
calculated  $\Delta G{\text{\textdegree}}$ values at the studied
temperatures are negative, indicating that the sorption process of MG
onto Z-X is spontaneous and  favorable~\cite{73}. The $\Delta
H{\text{\textdegree}}$ value was estimated to be
${-}39.703~\mathrm{kJ}{\cdot}\mathrm{mol}^{-1}$, signifying that MG
adsorption is an exothermic  process~\cite{74}. Besides, the negative 
$\Delta S{\text{\textdegree}}$ value
$({-}0.108~\mathrm{kJ}{\cdot}\mathrm{mol}^{-1}{\cdot}\mathrm{K}^{-1})$
indicates that dye molecules at the solid--liquid interface become more
ordered during the adsorption process compared to their state in the
bulk  solution~\cite{75}. Comparable thermodynamic parameters were
reported for the sorption of MG onto a clay-based  adsorbent~\cite{76}.

\begin{table*}
\caption{\label{tab6}Adsorption thermodynamic parameters of MG removal
by the prepared Z-X (contact 
time: 60~min, initial pH: 6.06, 
adsorbent~dose: $0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$)}
\begin{tabular}{cccc}  
\thead
$T$ (\textdegree C) &
$\Delta G~(\mathrm{kJ}{\cdot}\mathrm{mol}^{-1})$ &
$\Delta H~(\mathrm{kJ}{\cdot}\mathrm{mol}^{-1})$ &
$\Delta S~(\mathrm{kJ}{\cdot}\mathrm{mol}^{-1}{\cdot}\mathrm{K}^{-1})$ \\ 
\endthead
10 & ${-}$9.087 & \morerows{2}{${-}$39.703} & \morerows{2}{${-}$0.108}\\
20 & ${-}$7.867 &  &  \\
30 & ${-}$6.928 &  & 
\botline
\end{tabular}
\end{table*}

\subsection{Adsorbent regeneration study}\label{sec3.3}
The regeneration study of the MG-loaded Z-X was conducted by using
distilled water at  100~\textdegree C and under reflux for 6~h
according to the procedure from Section~\ref{sec2.5} for four
adsorption/desorption cycles. The results  (Figure~\ref{fig8}) show that
for the first and second adsorption/desorption cycles, the regeneration
efficiency decreases to 95.5\% and 89.5\% of the initial capacity
(cycle 0), respectively. This adsorption performance highly decreases
and reaches less than 67\% at the third cycle and less than 50\% at the
fourth cycle. This behavior can be explained by the gradual occupation
and saturation of the available active sites on Z-X by MG molecules
during repeated adsorption--desorption cycles. In practical cases, two
desorption/adsorption cycles can be used since the adsorption
efficiency remains relatively high (greater than 89\%). 

\begin{figure}
\includegraphics{fig08}
\caption{\label{fig8}Regeneration of the Z-X material loaded with MG
dye.}
\end{figure}

On the other hand, validating these encouraging adsorption and
regeneration results in larger dynamic systems, such as laboratory
columns and continuous stirred-tank reactors, is crucial for scaling up
to real industrial applications. This approach not only supports the
principles of circular economy and sustainability but also aligns with
national and international sustainable development goals.

\subsection{Adsorption mechanism exploration}\label{sec3.4}
The sorption process follows the Langmuir model, suggesting monolayer
coverage of the dye molecules. It is best described by the PFO kinetic
model, indicating that physical adsorption is the dominant mechanism
across the studied concentration range. The effect of the initial pH
study shows that the adsorption mechanism of MG onto
Z-X also involves electrostatic interactions. Moreover, it seems that
based on the FTIR analysis of Z-X before and after MG adsorption, the
complexation mechanism is also involved in MG adsorption 
(Figure~\ref{fig9}). A noticeable reduction of the Si--O, Al--O,
and  O--H peaks was observed, suggesting that MG was retained with
these functional groups through the complexation mechanism. 

\begin{figure}
\includegraphics{fig09}
\vspace*{-2pt}
\caption{\label{fig9}FTIR spectra of the Z-X material before and after
MG adsorption.}
\vspace*{-4pt}
\end{figure}

\subsection{Cost estimation}\label{sec3.5}
The commercial viability of any adsorbent is largely determined by its
cost. Therefore, the production cost of Z-X and its application for MG
adsorption are reported in  Table~\ref{tab7}. The estimation is conducted
using life cycle cost analysis, a standard practice in wastewater
treatment plants. Consequently, the analysis accounted for factors such
as the cost of the used chemical reagents, activation, washing,
dehydration, calcination, and regeneration. Moreover, to address
potential unforeseen expenses, an extra 10\% cost is incorporated into
the analysis. The whole estimated cost was evaluated to be 
9.24 USD${\cdot}$kg$^{-1}$. 
It involves not only the Z-X synthesis but also the application
for MG removal and the regeneration process. This cost is lower than
that reported for  commercial charcoal 
(${\sim}${13.62~USD/kg)~\cite{77} and NaA zeolite  
(26.092~USD/kg)}~\cite{78}.

\begin{table*}
\caption{\label{tab7}Cost estimation of the proposed adsorbent synthesis 
and  application\vspace*{3pt}}
\begin{tabular}{cccccc}  
\thead
No. & Task & Item & Designation & Quantity & Cost (USD) \\ 
\endthead                   
1 & 
\raisebox{15pt}{\xxmorerows{6}{\parbox[t]{2cm}{\centering
Raw material synthesis: 1~kg of Z-X}}} &
\raisebox{15pt}{\xxmorerows{4}{\parbox[t]{2.5cm}{\centering
Chemical reagents and water}}} &
Sodium silicate & 2~kg & 1.2\0\0\\

 &  &  & Aluminum chloride & 500~g & 0.2\0\0\\
 &  &  & Heating & 
\parbox[t]{3cm}{\centering
kW of electricity (24~h ${\times}$ 2~kW)}\vspace*{2pt} & 3.36\0\\
 &  &  & Sodium hydroxide & 
\parbox[t]{3cm}{\centering
147.5~g of NaOH}\vspace*{2pt} & 0.33\0\\
&  &  & Water for washing & 100~L\vspace*{4pt} & 0.10\0 \\
 
 &  & \xmorerows{1}{Energy}  & Agitation & 
\parbox[t]{3cm}{\centering 
 kW of electricity (0.67~h ${\times}$ 2~kW)}\vspace*{2pt} &  0.094 \\
 &  &  & Dehydration & 
\parbox[t]{3cm}{\centering 
 kW of electricity (24~h ${\times}$ 48~kW)}\vspace*{6pt} 
 & 1.68\0 \\ 
 
2  & 
\xmorerows{1}{\parbox[t]{2cm}{\centering
Regeneration of 1~kg}} & 
\parbox[t]{2.5cm}{\centering
Regeneration solution} & Tap water & 
1000~L\vspace*{2pt} & 0.60\0 \\

 &  & Energy & Heating & 
\parbox[t]{2.5cm}{\centering 
 kW of electricity (6~h ${\times}$ 2~kW)}\vspace*{6pt} & 0.84\0\\ 
 
\multicolumn{5}{l}{Overall cost} & 8.4\0\0 \\ 
\multicolumn{5}{l}{10\% of overall cost} & 0.84\0 \\ 
\multicolumn{5}{l}{Net cost (USD${\cdot}$kg$^{-1}$)} & 9.24\0
\botline
\end{tabular}
\vspace*{10pt}
\end{table*}

\subsection{Brief presentation of a real-case industrial
scenario}\label{sec3.6}
To illustrate the attractiveness of the proposed Z-X in treating industrial
effluents, we studied the following hypothetical case: a textile
effluent containing MG at a concentration of
$10~\mathrm{mg}{\cdot}\mathrm{L}^{-1}$ and a pH of 10, produced at a
flow rate of  $100~\mathrm{m}^3{\cdot}\mathrm{day}^{-1}$. Based on the
experimental results, under these conditions, 90\% of MG can be removed
after a contact time of 60~min for a Z-X dose of 
$0.4~\mathrm{g}{\cdot}\mathrm{L}^{-1}$. Therefore, the required mass of
Z-X to treat the overall flow rate will be 40~kg per day. Furthermore,
this adsorbent mass can be regenerated and used in two consecutive cycles
with an adsorption efficiency above 89\%. In such 
a case, this mass can
treat the produced wastewater ($300~\mathrm{m}^3$) in 3 days.
\looseness=-1

For a production cost of 9.24 USD${\cdot}$kg$^{-1}$ of Z-X, the treatment of
300~m$^3$ will cost around 370~USD. Thus, the cost of treatment of
1~m$^3$ by Z-X is 1.23~USD${\cdot}$m$^{-3}$. This cost is attractive in
comparison with various  materials~\cite{77,78}. This scenario
demonstrates that the proposed Z-X offers an efficient and 
economically \mbox{viable} solution for treating 
\mbox{dye-contaminated}  \mbox{industrial} wastewater, with a high
scalability \mbox{potential.}

\section{Conclusion}\label{sec4}
The objective of this study was to evaluate the adsorption performance
of MG  by Z-X and to explore the involved
mechanisms. The findings of this work show that this process is
strongly affected by various factors such as adsorbent dose, solution
pH, contact time, and especially the initial MG concentration. The 
MG-adsorption capacity is evaluated to be 
$166.7~\mathrm{mg}{\cdot}\mathrm{g}^{-1}$ at 10~\textdegree C, which is
higher than those of various engineered materials. The modeling of kinetic
and isothermal data as well as FTIR analyses of the material before
and after dye removal suggests that the adsorption process involves
both physical and chemical mechanisms including electrostatic
interactions, pore filling, and complexation. Moreover, this process
is exothermic and spontaneous,  which supports its feasibility under
ambient conditions. The overall cost of Z-X synthesis/regeneration
and application for MG removal was evaluated to be 9.24 USD${\cdot}$kg$^{-1}$,
which is lower than those of various engineered materials. Therefore, 
the proposed Z-X material
can be considered an efficient and sustainable alternative to
conventional adsorbents for the treatment of dye-rich effluents.
Future work should focus on regeneration performance and the material's
behavior in multi-component or real wastewater systems under dynamic
conditions to validate its large-scale applicability.

\vspace*{4pt}

\printCOI

\vspace*{4pt}

\section*{Supplementary materials}

\vspace*{4pt}

Supporting information for this article is available on the journal's
website under \printDOI\ or from the author.

\CDRsupplementaryTwotypes{supplementary-material}{\cdrattach{crchim-471-suppl.pdf}}

\back{}

\printbibliography

\refinput{crchim20260081-reference.tex}

\end{document}
