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Article

Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis

by
Elvis G. Gonzales-Condori
1,*,
Madelin L. Sotomayor-Asencio
1,
Marycielo F. Mayhuire-Centeno
1,
Olivia A. Paz-Corrales
1,
Jonathan Gonzales-Condori
2 and
José A. Villanueva-Salas
2
1
Grupo de Investigación en Biotecnología y Ciencia de los Alimentos, Universidad Tecnológica del Perú, Arequipa 04001, Peru
2
Escuela de postgrado, Universidad Católica de Santa María (UCSM), Urb. San José s/n Umacollo, Arequipa 04002, Peru
*
Author to whom correspondence should be addressed.
Processes 2026, 14(6), 968; https://doi.org/10.3390/pr14060968
Submission received: 25 January 2026 / Revised: 3 March 2026 / Accepted: 6 March 2026 / Published: 18 March 2026
(This article belongs to the Special Issue Advanced Wastewater Treatment Processes and Technologies)

Abstract

Textile wastewater pollution is a global issue that requires attention due to its potential negative environmental impacts. Therefore, in the present investigation, Inga feuilleei seed (IFS) powder was used as a potential adsorbent of Direct Red 80 (DR80) dye in synthetic water. The results showed that the highest removal efficiency was achieved at pH = 2 and an IFS powder particle size of 150 μm. ART-FTIR analysis of IFS dust showed the presence of -OH, C=C, and C-H groups. The kinetic study revealed a better fit of the experimental adsorption data to the pseudo-second-order kinetics, suggesting that the mechanism governing the adsorption process is chemisorption. The maximum adsorption capacity of DR80 on IFS powder was 133.11, 146.78, 152.78, and 183.51 mg/g at 20, 30, 40, and 50 °C, respectively. According to the thermodynamic study, the process is endothermic and spontaneous. Finally, the use of IFS powder is a cost-effective alternative since the project approach for the development of the production process of this adsorbent is feasible and profitable. In conclusion, IFS powder is a cost-effective adsorbent for removing DR80 in water, and the process could be scaled up in removal studies on textile wastewater.

Graphical Abstract

1. Introduction

Industrial activity has triggered environmental problems due to the release of wastewater contaminated with different emerging pollutants such as pharmaceuticals, cosmetics, pesticides, microplastics, heavy metals, and textile dyes [1]. In particular, textile wastewater is characterized by color and other substances that have made the treatment of these effluents a challenge [2]. Their high chemical and biochemical demand for oxygen and their color reduce the photosynthesis of aquatic plants, thus inhibiting their growth or bioaccumulating in these plants, which could represent risks of toxicity in aquatic living beings; in addition to this, these factors also harm the aesthetics of water bodies [3]. It is also known that these textile dyes can biomagnify and be transferred in the food chain and can be a risk to human health due to their possible carcinogenic and mutagenic effects [4]. There are different types of synthetic dyes, such as azo dyes, which, when in contact with human intestinal microflora, skin microflora, and microorganisms in the environment, can cause the reduction of azo groups, giving rise to products such as benzidine, which is associated with tumor formation, and p-phenylenediamine, which is an allergen. Aromatic amines may also be associated with diseases, including cancer [5]. One of the most widely studied azo dyes is Direct Red 80 (DR80) (C45H32N10O21S6.6Na), which can cause skin irritation and eye irritation and may be toxic to aquatic organisms [6]. For this reason, this dye must be removed before it reaches the environment using efficient technologies; the use and production of DR80 is increasing, generating a large amount of wastewater that is discharged into the environment without treatment [7].
Since the 1950s, efforts have been made to develop technologies that focus on the removal of these dyes from wastewater by physical processes such as ultrafiltration, electrocoagulation, electrochemical combustion, and radiation; chemical processes such as ozonation and the Fenton reaction; and some biological processes, such as the use of microorganisms and phytoremediation, which have also been developed [8]. However, the difficulty of their application has led to the proposal of more alternatives to more efficiently remove dyes from wastewater [9,10]. Different alternatives have been developed for the removal of DR80, including electrocoagulation [11], adsorption [12,13], photocatalysis [14,15], Fenton process [16], and membrane-based technologies [17,18,19,20,21,22].
On the other hand, in recent years, emphasis has been placed on the use of technologies that are not only effective but also reliable, sustainable, and cost-effective for scaling to real environments [23]. Among the cost-effective processes is adsorption, which is mainly based on chemical and physical adsorption [24]. Thus, adsorption processes are ideal in environmentally friendly and low-cost technologies [25]. However, most studies focus on demonstrating the capacity of agro-industrial waste to remove pollutants [26], but they do not allow the projection of its potential scaling to real environments, which limits its application. For this reason, in the present research, a techno-economic analysis was developed to approximate the incorporation of this technology into real world environments.
The genus Inga is present in South and Central America and comprises more than 300 species, generally composed of husks and seeds surrounded by edible pulp; the main waste after consumption is the seeds and husk [27]. The residues of different species of the genus Inga have proven to be useful for removing contaminants from aqueous media, such as the case of Inga edulis bark that removes Cr (VI) [28] and polyphenols [29]; likewise, Inga laurina removes methylene blue [30], Inga marginata removes gentian violet [31], and Inga nobilis removes of 14.81% of the color of real raw water [32].
The species Inga feuilleei was domesticated in Peru during the Inca Empire and spread to countries such as Chile, Bolivia, and Ecuador [33]. This species was introduced in other places such as Australia and Malaysia [34]. Of the fruit of Inga feuilleei, approximately 8.54% corresponds to the seed, 11.47% to the peels, and 61.12% to the pulp. Therefore, in the present investigation, Inga feuilleei seeds were used as a potential adsorbent of Direct Red 80 from aqueous solutions; for this purpose (1) the adsorbent was characterized before and after the adsorption process, (2) the effect of particle size and pH on the adsorption process was evaluated, (3) the kinetic, isothermal and thermodynamic parameters of the adsorption process were evaluated, and (4) a techno-economic analysis was carried out to evaluate the possible implementation of a plant for the production of the adsorbent.

2. Materials and Methods

2.1. Reagents

Direct Red 80 dye was obtained from Sigma Aldrich. Hydrochloric acid, sodium hydroxide, and sodium chloride were obtained from Merck.

2.2. Quantification of Direct Red 80 in Water

Direct Red 80 (DR80) quantification was performed on the Genesys 150 UV/VIS spectrophotometer, Thermo Fisher Scientific (Waltham, MA, USA). The method consisted of preparing a calibration graph using DR80 calibration solutions from 1 to 50 mg/L. These solutions were analyzed at 530 nm, obtaining a coefficient of determination R2 = 0.9995. Also, the equation of the line y = 0.02943x + 0.0041 was obtained and used for the quantification of DR80 in the treated water, where “x” is the concentration of DR80 in mg/L and “y” is the absorbance at 530 nm.

2.3. Adsorption Process

Figure 1 shows the adsorption process of Direct Red 80 (DR80) on Inga feuilleei seed (IFS) powder. The procedure began by obtaining IFS from organic waste produced at the “Mi Mercado” shopping center in the Andrés Avelino Cáceres Metropolitan Market in the district of José Luis Bustamante y Rivero in the province and department of Arequipa, Peru (−16.4234231, −71.5365881). The IFS, previously washed and dried at room temperature (7 days), was pulverized in a blade mill. Subsequently, the IFS powder, previously dried at 40 °C for 24 h, was sorted into four particle size fractions using 150, 300, 425, and 600 μm mesh to perform adsorption experiments with each particle size. For the adsorption studies at controlled temperature, a glass beaker with a jacket was used, where a synthetic solution of DR80 was placed at a determined concentration and an adsorbent dosage (IFS powder) of 1 g/L, and an agitation speed of 350 rpm for 240 min. The pH of the medium was adjusted using 0.1 M HCl and 0.1 M NaOH. At the end of the time, 5 mL samples were collected into centrifuge tubes and centrifuged at 4000 rpm for 10 min. The supernatant was analyzed spectrophotometrically to determine its absorbance at 530 nm and subsequently calculate the concentration of DR80. The initial concentration “C0” and the final concentration “Cf” of DR80 in mg/L were determined, and then the removal efficiency (removal (%)) was calculated using Equation (1). All adsorption experiments were performed in triplicate.
Removal   ( % ) = ( C 0 C f ) C 0 × 100

2.4. Characterization

First, characterization by scanning electron microscopy was conducted on the Scanning Electron Microscope Scios 2 DualBeam (Thermo Fisher Scientific, Waltham, MA, USA) to evaluate the morphology of the IFS powder. Secondly, the IFS powder was characterized by Attenuated Total Reflectance—Fourier Transform Infrared Spectroscopy (ATR-FTIR) on Cary 630 of Agilent (Santa Clara, CA, USA) to identify the functional groups present on the IFS powder.
Third, the point of zero charge (pHPZC) was determined using the methodology developed by Gonzales-Condori et al. [35] with some modifications. The procedure consisted of weighing 50 mg of IFS powder into 100 mL flasks, where 50 mL of a 0.1 M NaCl solution was added, with the pH previously adjusted to initial pH values “pHi” of 2 to 11 using 0.1 M HCl and 0.1 M NaOH. Then, agitation was started for 24 h at 150 rpm. At the end of the time, the final pH “pHf” was measured. Subsequently, ΔpH (pHf–pHi) was calculated, and pHi versus ΔpH was plotted.

2.5. Particle Size Effect on the Removal Process

Adsorption experiments were conducted to select the particle size that achieves the highest removal efficiency. For this, particle sizes of 150, 300, 425, and 600 μm were used at a dosage of 1 g/L each using an initial DR80 concentration of 100 mg/L at 20 °C and pH = 4. At the end of the experiments, the removal efficiency was calculated. With triplicate results, a one-way analysis of variance (ANOVA) and Tukey’s test were performed to determine the optimal particle size for the following experiments.

2.6. pH Effect on the Removal Process

Once the particle size with the highest removal efficiency was selected, adsorption experiments were conducted using an IFS powder dosage of 1 g/L, an initial concentration of 100 mg/L at 20 °C. At the end of the experiments, the removal efficiency was calculated. With triplicate results, ANOVA and Tukey’s test were performed to determine the optimal pH for the following experiments.

2.7. Kinetics

Using a particle size and pH of the highest removal efficiency, experiments were conducted to evaluate the adsorption kinetics using a dosage of 1 g/L IFS powder for 240 min. Experiments were conducted at initial concentrations of 100, 200, 300, and 400 mg/L of DR80, and at temperatures of 20, 30, 40, and 50 °C. Samples of 5 mL were taken in centrifuge tubes at times 0, 5, 10, 30, 60, 90, 120, 180, and 240 min to quantify the concentration of DR80 and calculate the adsorption capacity “qt” in mg/g using Equation (2) [36].
q t = C i C f m × V
where “m” is the weight of IFS powder in g and “V” corresponds to the volume of DR80 solution in L.
Subsequently, the kinetic study was performed taking into account the pseudo-first order using Equation (3) and the pseudo-second order using Equation (4) [36].
q t = q e ( 1 e k 1 t )
q t = k 2 q e 2 t 1 + k 2 q e t
where “k1” corresponds to the pseudo-first-order constant (min−1), and “k2” is the pseudo-second-order constant (g mg−1min−1). On the other hand, “qe” is the adsorption capacity at equilibrium. To calculate these parameters, “t” versus “qt” was plotted.

2.8. Adsorption Isotherms

Adsorption isotherms were evaluated at 20, 30, 40, and 50 °C, using experiments at initial concentrations of 100, 200, 300, and 400 mg/L DR80. The models used were the Langmuir and Freundlich nonlinear models, as given by Equations (5) and (6), respectively.
q e = q m K L C e 1 + K L C e
q e = K f C e 1 / n
where “Ce” corresponds to the concentration of DR80 in mg/L at equilibrium, and “qm” corresponds to the maximum adsorption capacity in mg/g of IFS powder. “KL” corresponds to the Langmuir constant (L/mg), and “n” corresponds to the Freundlich constant [37].

2.9. Thermodynamic Study

The thermodynamic parameters were calculated. The entropy (ΔS0), enthalpy (ΔH0), and Gibbs energy (ΔG0) were determined with the following equations (Equations (7)–(10)) [37].
Δ G 0 = Δ H 0 T Δ S 0
Δ G 0 = R T ln k c
k c = q e C e
ln K c = Δ H 0 R T + Δ S 0 R
where “T”, “R”, and “Kc” correspond to the temperature (K), the universal gas constant (J/mol·K), and the equilibrium constant (L/g), respectively.

2.10. Evaluation of Adsorbent Reuse

The efficiency of DR80 removal using IFS powder was evaluated in five cycles. The DR80 adsorbed onto the IFS powder was desorbed. The IFS powder with the adsorbed DR80 was dried in an oven until dry, and then the IFS + DR80 powder was transferred to beakers where desorption was carried out using distilled water adjusted to pH = 12 with 1 M NaOH. Agitation was carried out for 120 min, after which the IFS powder was recovered and placed in an oven at 40 °C until dry. The IFS powder was reused for the second adsorption cycle. The same procedure was followed for the third, fourth, and fifth cycles. All experiments were performed in triplicate. Finally, the removal efficiencies for each cycle were calculated.

2.11. Techno-Economic Analysis Process

The techno-economic analysis was developed taking into account a previous study [37], to implement a plant for the production of IFS powder as an alternative for the treatment of water contaminated with DR80. This analysis was carried out to evaluate the possible feasibility and profitability. Taking into account the above, the profitability indexes were calculated, which correspond to the Net Present Value “NPV”, the Internal Rate of return ‘IRR’, the benefit/cost “B/C”, and the Investment Recovery Period “IRP” using Equations (11), (12), (13), and (14), respectively.
V A N = C F 1 1 + i + C F 2 1 + i 2 + C F 3 1 + i 3 + C F n 1 + i n I 0
I R R I 0 C F 1 1 + i + C F 2 1 + i 2 + C F 3 1 + i 3 + C F n 1 + i n = 0
B C = U p d a t e d   b e n e f i t s - U p d a t e d   cos   t s I n i t i a l   i n v e s t m e n t
I R P = A + B C D
where “CFn” is the Cash Flow for each year “n”. “I0” is the initial investment, and “i” is the discount rate. “A” is the immediate previous year of recovery, “B’” is the initial investment, “C’” is the accumulated cash flow of the year before recovery, and finally “D” is the economic cash flow of the year where the investment is recovered. In the Supplementary Material, the calculations of each variable are presented step by step. A positive NPV value indicates that the project is viable, and the B/C value is greater than 1, and an IRP value greater than the Cost of Opportunity of Capital (COK, Data in Supplementary Material) indicates profitability [37].

3. Results and Discussion

3.1. SEM Characterization

Figure 2 shows SEM micrographs of Inga feuilleei seed powder (IFS) at 500× (Figure 2a) and 1500× (Figure 2b). It is observed that the IFS powder presents a rough, irregular, and heterogeneous structure, with the presence of pores. These structures are characteristic of lignocellulosic structures [38] and have high fiber content [39]. Similarly, in another study, they found heterogeneous structures with larger pore sizes [40].

3.2. Point of Zero Charge

Figure 3 shows the point of zero charge (pHPZC) analysis of the IFS powder. It is observed that pHPZC = 4.67, which indicates that at pH = 4.67 the charge on the IFS surface is zero; at pH< 4.67 it would be positively charged, and at pH > 4.67 it would be negatively charged. This would influence the efficiency of adsorption processes, since at pH< pHPZC protonation of the adsorbent surface favors adsorption of negatively charged substances [41].

3.3. Effect of the Particle Size

Figure 4a shows the adsorption efficiencies of Direct Red 80 (DR80) dye on different particle sizes of IFS powder. The one-way analysis of variance (ANOVA) and Tukey’s test indicate that the particles retained on the 150 μm mesh have a DR80 removal efficiency of 45.33 ± 0.89%; this value is significantly higher (p < 0.05) than the removal efficiency of the particles retained on the 300, 425, and 600 μm meshes at 95% confidence. This is because the smaller the particle size, the greater the contact surface area with available sites for DR80 adsorption, since the smaller the particle size, the greater the specific surface area [42].

3.4. pH Effect

Figure 4b shows the adsorption efficiencies at different pH values of the medium, with a removal efficiency of 77.15 ± 0.77% at pH = 2. One-way ANOVA and Tukey’s post hoc test showed that at pH = 2, the removal efficiency was significantly higher (p < 0.05) than the efficiencies found at pH values of 3, 4, 5, and 6. It is also observed that as the pH decreases, the removal efficiency increases. This would be because pH = 2, which is below the pHPZC = 4.67, which confirms that the IFS surface would be positively charged, attracting DR80 electrostatically. This is confirmed by Pirillo et al. [43], who indicate that anions are favorably adsorbed at low pH due to the high H+ concentration, which would explain the higher adsorption efficiency of the anionic dye DR80 at lower pH.

3.5. FTIR Characterization

Figure 5 presents the results of the ATR-FTIR analysis of the IFS powder before and after the DR80 adsorption process. In this figure, the red line spectrum corresponds to the natural IFS powder, which presents signals at 3273 cm−1, corresponding to stretching vibrations of -OH groups. Also, peaks at 2927 and 2877 cm−1 are observed, C-H stretching vibrations corresponding to -CH2 chains. At 1636 cm−1, there are C=C stretching vibrations, and at 1379 cm−1, it could correspond to deformation vibrations of C-H groups. At 994 and 859 cm−1, a peak is observed that could correspond to the vibration of the C-C skeleton, and at 762 cm−1, oscillating vibrations of CH2 are present. On the other hand, Figure 5 shows the black line ATR-FTIR spectrum corresponding to the IFS powder after DR80 adsorption (IFS-DR80), where it can be noted that the intensity of the signals increased with respect to the IFS powder, so this increase in the vibrations would be due to the adsorption of DR80 on the IFS powder. Similar results were reported by the study of Sathya et al. [44] and Akhouairi et al. [45], who also found an increase in peak intensity after adsorption of Congo Red and Eriochrome Black T, respectively.

3.6. Kinetic Study

Figure 6 shows the fit plot of the adsorption capacity “qt” as a function of time to the pseudo-second-order kinetic model at 20, 30, 40, and 50 °C, considering initial DR80 concentrations of 100, 200, 300, and 400 mg/L.
Table 1 shows the removal efficiencies of DR80 for IFS dust at 240 min, across different initial concentrations and temperatures. It is observed that by increasing the initial concentration of DR80, the adsorption efficiency (removal (%)) decreases. It is also observed that the increase in temperature results in an increase in removal efficiency. On the other hand, it is observed that, in all cases, the pseudo-second-order kinetic model fits the experimental data better with a higher R2 than the pseudo-first-order model. The fit to the pseudo-second-order model indicates that the main mechanism of adsorption is chemisorption [46].

3.7. Isotherms

Figure 7 presents the fit plots of the Langmuir and the Freundlich isotherm models at temperatures of 20, 30, 40, and 50 °C. All graphs show that the Langmuir model best fits the experimental data at all four temperatures studied.
Table 2 shows the parameter values of the Langmuir and the Freundlich isotherm models. The Langmuir model was a better fit to the experimental data than the Freundlich model because the R2 coefficient was closer to 1. According to the Langmuir model, the maximum adsorption capacity of DR80 on IFS powder increases with increasing temperature, being 133.11, 146.78, 152.78, and 183.51 mg/g at 20, 30, 40, and 50 °C, respectively. The Langmuir isotherm indicates that the adsorption of DR80 on IFS powder is uniform, and DR80 occupies the adsorption sites in a monolayer [47].
Table 3 shows the comparison of the maximum adsorption capacity of DR80 obtained by IFS powder with other adsorbents studied at different experimental conditions, where it is noted that IFS presents a higher maximum adsorption capacity than Orange peel [48,49], Shells [50], and Potato peels [51], except Soy Meal Hull [52].

3.8. Thermodynamics

Figure 8 shows the Van’t Hoff plot of 1/T versus lnKc, where the linear equation and the R2 coefficient are observed. The intercept and slope of this linear equation were used to calculate the thermodynamic parameters.
Table 4 shows that the enthalpy value is 67.85 kJ/mol. The entropy value is 241.21 J/mol·K. The values of ΔG° become more negative as temperature increases, with the values at 293, 303, 313, and 323 K being −2.98, −5.12, −7.38, and 10.30 kJ/mol, respectively. When ΔG° is negative, the process is spontaneous, and when it becomes more negative with increasing temperature, it indicates that it is less favorable with increasing temperature [53].
The value of the Langmuir constant (KL) increased significantly with the increase in temperature from 20 to 50 °C, rising from 0.0601 to 2.065 L/mg (Table 2). This trend indicates an improvement in the affinity between DR80 and IFS at higher temperatures. This behavior is thermodynamically consistent with the positive value of enthalpy (ΔH° = 67.85 kJ/mol), confirming the endothermic nature of the process. Furthermore, the magnitude of ΔH° is greater than 40 kJ/mol, which suggests that the adsorption mechanism is governed by chemisorption. The increase in KL values correlates with the more spontaneous nature of the system at higher temperatures, as demonstrated by the increasingly negative values of Gibbs free energy (ΔG°).

3.9. Reuse

Figure 9 shows the removal efficiency results in the five reuse cycles of IFS powder for the removal of DR 80. In the first cycle, 78.41% of DR 80 (initial concentration: 100 mg/L) was removed. In the second, third, and fourth cycles, this was reduced to 72.72%, 66.57%, and 56.17%, respectively. Finally, in the fifth cycle, the removal efficiency was reduced to 50.98%.

3.10. Techno-Economic Analysis

The techno-economic analysis for the calculation of NPV, IRR, B/C, and IRP of the project to produce IFS powder is presented in the Supplementary Material, and the results are presented in Table 5. The NPV was 35,701.46 USD. This result is positive, indicating that the production of this biomaterial will generate profits for the company, which confirms its viability. While in the IRR, a value of 25.47% was found, which is higher than “COK = 12.33% (Table S16)”, this indicates that the project is profitable. In the case of “B/C”, it was recorded with 1.49 USD, which is greater than 1, confirming the profitability of the project. For the IRP, a figure of 3.6289 was recorded, which, when broken down, shows that the return on investment period is 3 years, 7 months, and 16 days. In another adsorption study using grape seeds post-oil extraction, it was also found that the production of the adsorbent was feasible and cost-effective [37].

4. Conclusions

Inga feuilleei seed (IFS) powder has a rough, irregular, heterogeneous, and porous morphology that would confer to this material adsorption properties of the Direct Red 80 (DR80) dye. The highest removal efficiency of IFS powder occurs at pH = 2 and IFS powder particle size of 150 μm. One of the mechanisms involved in the adsorption process of DR80 is electrostatic attraction because the highest removal efficiency occurred at pH below the point of zero charge (pHPZC = 4.67). ART-FTIR analysis of the IFS powder showed the presence of -OH, C=C, and C-H groups. The pseudo-second-order kinetic model was a better fit to the experimental data of removal capacity, indicating that another limiting mechanism in the adsorption process is chemisorption. According to the Langmuir isotherm model, the maximum adsorption capacity of DR80 on IFS powder is 133.11, 146.78, 152.78, and 183.51 mg/g at 20, 30, 40, and 50 °C, respectively, which shows that the adsorption capacity of IFS powder increases with temperature. The Gibbs energy change became more negative with increasing temperature, indicating that the adsorption process was endothermic and spontaneous. Finally, the use of IFS powder is a cost-effective alternative, since the approach of a project for the development of the production process of this adsorbent is viable with a positive NPV, and it is also profitable with an IRR greater than COK, B/C greater than 1, with an IRP of 3 years, 7 months, and 16 days.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/pr14060968/s1, Table S1: Tangible Fixed Assets; Table S2: Intangible fixed assets; Table S3: Production area; Table S4: Areas of the company; Table S5: Working Capital; Table S6: Raw material cost; Table S7: Labor cost; Table S8: Indirect manufacturing costs; Table S9: Machinery depreciation; Table S10: Administrative expenses; Table S11: Investment budget; Table S12: Debt budget or investor financing; Table S13: Loan amortization; Table S14: Production costs; Table S15: IFS Powder Cost; Table S16: Opportunity cost of capital “COK”; Table S17: Weighted average cost of capital (WACC); Table S18: Income statement; Table S19: Economic cash flow; Table S20: Financial Cash Flow. References [37,54,55,56,57,58,59] are cited in the Supplementary Materials.

Author Contributions

Conceptualization, E.G.G.-C., J.A.V.-S., and O.A.P.-C.; methodology, E.G.G.-C., M.L.S.-A., M.F.M.-C.; software, E.G.G.-C.; validation, E.G.G.-C., and J.G.-C.; formal analysis, E.G.G.-C., J.G.-C., and J.A.V.-S.; investigation, E.G.G.-C., M.L.S.-A., M.F.M.-C.; resources, E.G.G.-C., and O.A.P.-C.; data curation, E.G.G.-C. and J.G.-C.; writing—original draft preparation, E.G.G.-C., M.L.S.-A., and M.F.M.-C.; writing—review and editing, E.G.G.-C. and J.A.V.-S.; visualization, E.G.G.-C. and J.G.-C.; supervision, E.G.G.-C. and J.A.V.-S.; project administration, O.A.P.-C.; funding acquisition, O.A.P.-C. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Technological University of Peru, under code I+D_SUR_2021_022.

Data Availability Statement

The original contributions presented in this study are included in the article/Supplementary Material. Further inquiries can be directed to the corresponding authors.

Conflicts of Interest

The authors declare no conflicts of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.

Abbreviations

The following abbreviations are used in this manuscript:
IFSInga feuilleei seed
DR80 Direct Red 80
FTIRFourier Transform Infrared Spectroscopy
ATRAttenuated Total Reflectance
pHPZCPoint of zero charge
SEMScanning Electron Microscope
ANOVAAnalysis of variance
R2coefficient of determination
qtAdsorption capacity
mWeight
VVolume
CiInitial concentration
CfFinal concentration
k1Pseudo-first order constant
k2Pseudo-second order
qeAdsorption capacity at equilibrium
tTime
CeConcentration of DR80 at equilibrium
qmMaximum adsorption capacity
KLLangmuir constant
nFreundlich constant
ΔS0Entropy
ΔH0Enthalpy
ΔG0Gibbs energy
TTemperature
RUniversal gas constant
KcEquilibrium constant
NPVNet Present Value
IRRInternal Rate of Return
B/CBenefit/cost
IRPInvestment Recovery Period
CFCash Flow
I0Initial investment
iDiscount rate
AImmediate previous year of recovery
BInitial investment
CAccumulated cash flow
DEconomic cash
COKCost of Opportunity of Capital

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Figure 1. Adsorption process of Direct Red 80 onto Inga feuilleei seed powder.
Figure 1. Adsorption process of Direct Red 80 onto Inga feuilleei seed powder.
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Figure 2. SEM analysis of Inga feuilleei seed powder at (a) 500× and (b) 1500×.
Figure 2. SEM analysis of Inga feuilleei seed powder at (a) 500× and (b) 1500×.
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Figure 3. Point of zero charge of Inga feuilleei seed powder.
Figure 3. Point of zero charge of Inga feuilleei seed powder.
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Figure 4. Adsorption efficiency (removal (%)) of Direct Red 80 at (a) different particle sizes of Inga feuilleei seed powder and at (b) different pH values of the aqueous medium. Different letters indicate a significant difference (p < 0.05).
Figure 4. Adsorption efficiency (removal (%)) of Direct Red 80 at (a) different particle sizes of Inga feuilleei seed powder and at (b) different pH values of the aqueous medium. Different letters indicate a significant difference (p < 0.05).
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Figure 5. FTIR spectra of Inga feuilleei seeds (IFS, black line), and Inga feuilleei seed residues + Direct Red 80 (IFS + DR80).
Figure 5. FTIR spectra of Inga feuilleei seeds (IFS, black line), and Inga feuilleei seed residues + Direct Red 80 (IFS + DR80).
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Figure 6. Pseudo-second-order kinetics at different temperatures of Direct Red 80 adsorption at concentrations of (a) 100 mg/L, (b) 200 mg/L, (c) 300 mg/L, and (d) 400 mg/L on Inga feuilleei seed powder.
Figure 6. Pseudo-second-order kinetics at different temperatures of Direct Red 80 adsorption at concentrations of (a) 100 mg/L, (b) 200 mg/L, (c) 300 mg/L, and (d) 400 mg/L on Inga feuilleei seed powder.
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Figure 7. Adsorption isotherms of Direct Red 80 onto Inga feuilleei seed powder at temperatures of (a) 20 °C, (b) 30 °C, (c) 40 °C, and (d) 50 °C.
Figure 7. Adsorption isotherms of Direct Red 80 onto Inga feuilleei seed powder at temperatures of (a) 20 °C, (b) 30 °C, (c) 40 °C, and (d) 50 °C.
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Figure 8. Van’t Hoff plot of 1/T versus lnKc for Direct Red 80 removal using Inga feuilleei powder as adsorbent at temperatures of 293, 303, 313, and 323 K.
Figure 8. Van’t Hoff plot of 1/T versus lnKc for Direct Red 80 removal using Inga feuilleei powder as adsorbent at temperatures of 293, 303, 313, and 323 K.
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Figure 9. Adsorption efficiency (removal (%)) of Direct Red 80 with respect to adsorbent reuse cycles (IFS).
Figure 9. Adsorption efficiency (removal (%)) of Direct Red 80 with respect to adsorbent reuse cycles (IFS).
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Table 1. Adsorption efficiency and calculated parameters of the pseudo-first order and pseudo-second order for Direct Red 80 adsorption.
Table 1. Adsorption efficiency and calculated parameters of the pseudo-first order and pseudo-second order for Direct Red 80 adsorption.
T (°C)Ci
(mg/L)
Removal
%
qexp
(mg/g)
Pseudo-First OrderPseudo-Second Order
k1
(min−1)
qe, cal
(mg/g)
R2k2
(g mg−1 min−1)
qe, cal
(mg/g)
R2
2010077.5580.680.082174.130.92790.001381.210.9796
20055.59104.380.088295.370.93300.0011104.290.9822
30041.86120.840.0775111.740.96520.0008122.750.9932
40026.08105.660.0606117.220.96690.0007108.710.9947
3010088.3792.410.091985.050.93720.001392.820.9842
20061.14114.810.1066105.110.94380.0015112.820.9847
30050.02144.400.1309136.140.96560.0013145.250.9942
40033.15130.880.1269142.350.93790.0013151.170.9825
4010094.4498.760.102191.320.93700.001498.980.9839
20067.22126.220.1838118.170.96520.0024123.910.9915
30054.95158.620.1969148.320.96190.0021155.150.9894
40040.31163.320.1921155.450.97470.0020162.380.9956
5010099.39103.930.119297.670.94650.0016104.730.9873
20078.05146.560.1850137.810.96450.0021144.450.9915
30063.90184.440.2064175.370.97950.0021182.340.9975
40048.64195.380.2326187.420.98150.0023194.120.9951
Table 2. Calculated parameters of Langmuir and Freundlich isotherms for Direct Red 80 adsorption.
Table 2. Calculated parameters of Langmuir and Freundlich isotherms for Direct Red 80 adsorption.
ModelParametersValue
20 °C30 °C40 °C50 °C
Langmuirqm (mg/g)133.11146.78152.78183.51
KL (L/mg)0.06010.12290.29012.065
R20.99240.95440.95200.9862
Freundlich1/n0.18400.17030.14170.1019
KF46.1358.8174.55113.51
R20.96690.89310.91330.9466
Table 3. Comparison of the maximum adsorption capacity of Direct Red 80 of different adsorbents with Inga feuilleei seed powder at different experimental conditions.
Table 3. Comparison of the maximum adsorption capacity of Direct Red 80 of different adsorbents with Inga feuilleei seed powder at different experimental conditions.
AdsorbentT (K)pHC0 (mg/L)Adsorbent Dosage (g/L)Stirring Time (min)/Stirring Speed (rpm)Particle Size (μm)qmax (mg/g)Reference
Orange peel298250–125425/200--21.05[48,49]
Mixture shells293650–1503.2300/200<10628.50[50]
External shells293650–1503.2300/200<10623.753[50]
Internal shells293650–1503.2300/200<10622.00[50]
Potato peels303.1621002060/10010027.778[51]
Potato peels313.1621002060/10010045.45[51]
Potato peels323.1621002060/10010032.258[51]
Soy Meal Hull293250–1500.3120/200<125178.57[52]
Inga feuilleei seed powder2932100–4001240/350150133.11This research
3032100–4001240/350150146.78This research
3132100–4001240/350150152.78This research
3232100–4001240/350150183.51This research
Table 4. Thermodynamic parameters at different temperatures for Direct Red 80 adsorption on Inga feuilleei powder.
Table 4. Thermodynamic parameters at different temperatures for Direct Red 80 adsorption on Inga feuilleei powder.
T (K)ΔH° (kJ/mol)ΔS° (J/mol·K)ΔG° (kJ/mol)
29367.85241.21−2.98
303 −5.12
313 −7.38
323 −10.30
Table 5. Techno-economic analysis parameters.
Table 5. Techno-economic analysis parameters.
ParameterValue
NPV (USD)35,701.46
IRR (%)25.47
B/C1.49
IRP3.6289
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Gonzales-Condori, E.G.; Sotomayor-Asencio, M.L.; Mayhuire-Centeno, M.F.; Paz-Corrales, O.A.; Gonzales-Condori, J.; Villanueva-Salas, J.A. Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis. Processes 2026, 14, 968. https://doi.org/10.3390/pr14060968

AMA Style

Gonzales-Condori EG, Sotomayor-Asencio ML, Mayhuire-Centeno MF, Paz-Corrales OA, Gonzales-Condori J, Villanueva-Salas JA. Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis. Processes. 2026; 14(6):968. https://doi.org/10.3390/pr14060968

Chicago/Turabian Style

Gonzales-Condori, Elvis G., Madelin L. Sotomayor-Asencio, Marycielo F. Mayhuire-Centeno, Olivia A. Paz-Corrales, Jonathan Gonzales-Condori, and José A. Villanueva-Salas. 2026. "Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis" Processes 14, no. 6: 968. https://doi.org/10.3390/pr14060968

APA Style

Gonzales-Condori, E. G., Sotomayor-Asencio, M. L., Mayhuire-Centeno, M. F., Paz-Corrales, O. A., Gonzales-Condori, J., & Villanueva-Salas, J. A. (2026). Valorization of Inga feuilleei (Pacay) Seeds as a Promising Adsorbent for the Removal of Direct Red 80 Dye in Aqueous Solution—Kinetics, Isotherms, Thermodynamics, and Techno-Economic Analysis. Processes, 14(6), 968. https://doi.org/10.3390/pr14060968

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