Biodiesel Yield and Conversion Percentage fromWaste Frying Oil Using Fish Shell at Elmina as a Heterogeneous Catalyst and the Kinetics of the Reaction

In this study, biodiesel was produced from waste frying oil as feedstock with a calcined sh shell under a heterogeneous solid base catalyst. e process of transesterication was done by varying methanol-to-oil molar ratio, catalyst amount, reaction temperature, and reaction time. e heterogeneous catalyst was prepared stepwise as follows: washing and drying the sh shell for 24 hours at 120°C in an oven, then crushing to form powder having been pound for 2-3minutes in an agate mortar cleaned with nitric acid (6N). e powdered sh shell was then calcined at 950°C for 4 hours using a mue furnace. e calcined catalyst was subsequently kept in a desiccator to avoid encountering moisture. e prepared catalyst was then characterized using XRD and FT-IR. e optimum biodiesel yield of 99.58% was obtained under methanol-to-oil ratio of 10 :1, catalyst amount of 3.0 wt%, reaction temperature of 60°C, and reaction time of 8 hours with mass transfer control of 600 rpm.e optimum rate of constant of 0.164 L/mol·S−1 was determined using the second-order kinetics model. e constant rate of reaction indicated that the forward reaction is crucial for the reaction. e properties of biodiesel produced conformed with those of the international standard using ASTM D6751.


Introduction
Biodiesel is produced by transesterifying long-chain fatty acids sourced from animal fats and vegetable oils with aliphatic alcohols (methanol or ethanol) in the presence of a suitable catalyst to make esters of long-chain fatty acids and glycerol [1,2]. Transesteri cation is the most prevalent way of synthesizing biodiesel. e type of catalyst to be employed is determined by the amount of free fatty acid (FFA) contained in the feedstock, which is either acid or base. In the case where values of free fatty acid are more than 2 mg·KOH/ g, the recommended process is a two-stage process [3,4] or neutralization of oil using an alkali before transesteri cation. e method of two-stage biodiesel production begins with acid-catalyzed esteri cation, in which free fatty acid is changed to esters by acid, followed by base-catalyzed transesteri cation, comparatively. e commonly used mineral acids are hydrochloric or sulphonic and sulphuric acids. Sodium hydroxide is the base catalyst that is widely used due to it being cheap and safe in handling as compared to potassium hydroxide with methanol as the ideal alcohol. Methanol and ethanol are the most commonly used alcohols for biodiesel production, with methanol producing a fatty acid methyl ester mixture (FAME) and ethanol producing a fatty acid ethyl ester mixture (FAEE) [4]. Methanol is affordable compared to other alcohols and produces fuel with a short chain with required qualities [5,6].
Feedstock has a role in the high cost of biodiesel manufacturing [7]. Waste frying oil (WFO) used as an alternative to virgin oil for producing biodiesel is one method of reducing the cost, considering the estimate to be half the price of pure oil [3]. is is because waste frying oil, nonedible oil [8], insects [9], and waste animal fat (cow, pig, and sheep) are all inexpensive and readily available at restaurants. After each usage, unused cooking oil is disposed of. Palm oil, soybean oil, sesame oil, and sun ower oil are among the waste frying oils available [3,10]. e use of waste cooking oil for biodiesel production provides an alternative to disposing of waste cooking oil into the environment which brings significant environmental benefits [11].
Designing a suitable reactor that can be used for biodiesel production requires the study of the kinetics and reaction rate constant. Several studies have been carried out on transesterification and its kinetics. Typically, Darnoko and Cherryan [12] looked at the kinetics that involved transesterification of palm oil through the application of potassium hydroxide as the base catalyst. e conversion process in this case was described as second-order. Leevijit et al. [13] also used sodium hydroxide as a catalyst to transesterify palm oil with methanol. Both of their studies used thin layer chromatography/flame ionization detectors to determine the % weight of the reaction mixture and reported second-order kinetics. Similar works on the kinetics of Brassica carinata and sunflower oils methanolysis by Vicente et al. [14] found that initial mass transfer affected the kinetics with second-order, indicating that the rate is kinetically regulated. e initial mass conversion kinetics was accompanied by a chemical reaction that held secondorder rates, according to Noureddini and Zhu [15] in the investigation of the kinetics of soybean oil transesterification with methanol. Stamenković et al. [16] used basic kinetics models to investigate the kinetics of sunflower oil methanolysis at low temperatures, reporting sigmoidal kinetics in which mass transfer initially drove the kinetics and chemical reaction controlled the region. According to Bambase et al. [17], an agitation speed of 400-600 rpm is necessary to successfully decrease the mass transfer area in hydroxidecatalyzed methanolysis of crude sunflower oil for biodiesel. e current work employed a heterogeneous catalyst prepared from the fish shell for transesterification of waste frying oil. e reaction conditions were optimized by varying the methanol/oil molar ratio, reaction time, catalyst quantity, and temperature. e reaction rate constant (k) and second-order kinetics transesterification were measured as part of the kinetics study. Using EN 14214 and ASTM D 6751 standards, the characteristics of the fuel were determined and compared.

Methodology
Waste frying oil was gathered from a small restaurant in Cape Coast. e crude oil obtained was degummed using water at 70°C-80°C for 15 minutes. To minimize the free fatty acids, the degummed oil was neutralized using analytical-grade sodium hydroxide.
e School of Biological Science Laboratory provided gas, chromatography, grade chemicals, and biodiesel standards. e remainder of the chemicals used was of analytical grade. Elmina fish market in Cape Coast was used to collect the fish shells.

Catalyst Preparation.
Washing was done initially on the fish shell with tap water to aid in the removal of sand and the flesh that adhered to the shells. e clean and dry shells were then crushed for 2-3 minutes in an agate mortar that had been cleaned with nitric acid (6 N) and within intervals of 3 times for the removal of the organic impurities. Rinsing was then done using distilled water. After that, drying was done at 120°C for 24 hours in an oven. e crushed dry shells were calcined in a muffle furnace at 950°C for 4 hours. e white fluffy and porous materials were next pulverized using an agate mortar and kept in a desiccator.

Catalyst Characterization.
e base strength of the catalyst was evaluated using several Hammett indicators. Approximately, 25 mg of the catalyst was agitated in a solution containing 5 ml of methanol solution of Hammett indicators and permitted to equilibrate for 2 hours. e basic strength is said to be more than the weakest signal that creates a color change but less than the strongest indicator that causes  [18] used a Brunauer-Emmett-Teller (BET) surface area study to estimate parameters such as surface area, mean pore diameter, and pore volume. e Barrett-Joyner-Hallenda (BJH) technique was used to determine the distribution of pore size in the samples [18]. Nitrogen adsorption-desorption isotherms were measured using the Micromeritics ASAP 2020 device at a temperature of −195.562°C.
An X-ray diffractometer (Scifert and Co. model 3000) was used to examine the catalyst's XRD pattern at an angle of 2°and a scan range of 10-90°.
Fourier transformed infrared (FT-IR) spectroscopy using a ermo Electron Co. Model Nicolet 5700 fitted with a Hg-Cd-Te cryodetector at wave numbers of 4000-650 cm −1 at a resolution of 4 cm −1 was used to determine functional groups bound to the catalyst surface. An infrared vacuum cell having greaseless stopcocks and KBr windows were used to record the spectra [19].

Refining of the Waste Frying Oil.
e free fatty acid value was determined by calculating the concentration of sodium hydroxide solution that was made in order to neutralize the oil. At room temperature (30°C), the alkali solution was added to the oil, stirred at 300 rpm, and allowed the reaction to continue for 10 minutes, and thereafter, the mixture was subjected to heating at 70°C in order to breakdown the formation of soap. Following that, a centrifuge at 4500 rpm for 20 minutes was used to separate the samples. e oil was then washed three times with warm water (50°C) and dried with a rotatory evaporator.

Reaction Procedure.
A 500 mL round bottom flask was used as a reactor for the transesterification process. A reflux condenser, thermometer, mechanical stirrer, and sample port were all included in the reactor's design. Before being put into the reactor, the oil was preheated at 120°C for 30 minutes to eliminate any water that may have been present. As the oil dried, a little quantity of methanol and sodium hydroxide were dissolved separately. e methanol-sodium hydroxide combination was then transferred into the reactor while it was being stirred. Temperature range (40-65°C), stirring rate (600 rpm), molar ratio of methanol-to-oil of 6 : 1, and reaction period of 120 minutes were used as the optimization conditions, mentioned by Okullo et al. [20]. e following equation was used to calculate the yield of biodiesel produced: In this work, all results are provided as means (values) of triplicate experimental and GC measurements.

Kinetics Model of Transesterification of the Waste Frying
Oil.
e transesterification process is a reversible and sequential reaction that is triggered by excess alcohol and a catalyst. e following is a representation of the reaction [13]: Overall reaction: where k 1 , k 3 , and k 5 are the forward reaction rate constants and k 2 , k 4 , and k 6 are the reverse reaction rate constants. Depending on the working circumstances, the catalyst used, and the molar ratio of alcohol to oil, the three sequential transesterification reactions might be equilibrium, forward, or reverse processes. e following equation was used to represent the kinetic rate constants as a function of reaction time [13]: where where a 1 − a 6 are the measured data points (mole concentrations), b 1 − b 6 are the dependent variables (differentiations of mole concentrations on the left-hand side of equation (4), and k 1 , k 2 , k 3 , k 4 , k 5 , and k 6 are the rate constants as previously defined. e method used to get the effective rate constants were derived from Figure 1.

Characterization of the Oil.
A base catalyst was chosen, given that the waste oil had an acid value of 0.709 (mg of KOH/g of oil) and water content of 0.9 wt%.
International Journal of Chemical Engineering

Characterization of Catalyst.
e catalyst's basic strength was determined to be 15 < H − < 18.4 and was regarded as a strong basis for the transesterification process.
is number is greater than the one published by Liu et al. [21] who found activated CaO to have a basic strength of 10.1 < H − < 11.1. According to studies, decarbonation of CaCO 3 -based compounds including limestone often happens at temperatures more than 800°C high atmospheric pressure. CaCO 3 containing fish shells is transformed into an active catalyst of CaO. Table 1 compares the temperature of calcination of the fish shell to that of other CaCO 3 -based catalysts. Catalyst activity is greatly influenced by the precise surface area and active sites. e specific surface area was calculated from the table (Table 1) to be 21 m 2 /g. is number was comparable to previous research findings [22].

X-Ray Diffraction (XRD) Pattern.
e existence of CaCO 3 in the form of a weak orthorhombic structure was revealed by the presence of wide XRD peaks ( Figure 2 [24] reported similar peaks when discarded eggshell was calcined at temperatures of 800°C.

Fourier Transformed Infra-Red (FT-IR) of Calcined Fish
Shell. e predominant absorption spectrum in the fish shell was 864, 1479, and 3448 cm −1 , which are linked to carbonate (CO 2− 3 ) species on the surface of the catalyst [23]. e carbonate ion in the fish shell is lost during calcination, and the absorbance spectrum of CO 2− 3 ion is moved to a higher energy state [19]. ese peaks reveal the mass loss caused by the loss of the CO 2− 3 ion substituent linked to the surface of the catalyst as presented in Figure 3.

Transesterification of Fish Shell Catalyst.
e methanolto-oil ratio has a significant influence on biodiesel yield [2,11]. Figure 4 illustrates the molar ratio versus percentage yield and the molar ratio versus % conversion to biodiesel. Biodiesel yield surged as the methanol-to-oil ratio increased, till it attained a constant yield of 87.6% at a molar ratio of 10 :1. However, with an increase in the molar ratio past 10 :1, the conversion of biodiesel was lowered. e greatest conversion (87.6%) was reached at a molar ratio of 10 :1, as shown in Figure 4.
At a catalyst loading of 3.0-3.5%, the yield progressively improved and became steady at 87.6% as shown in Figure 5. With higher catalyst loading, the conversion of triglycerides increased. For 7 hours, the greatest conversion was achieved at 3.0% compared to the oil. e explanation for the lower  International Journal of Chemical Engineering conversion with an additional catalyst might be related to an increase in the viscosity of the reaction mixture [2,25]. As a result, the optimal quantity of catalyst relative to oil for transesterification of the oil is 3.0 wt.%. Figures 6 and 7 illustrate a progressive rise in conversion over time from 5 to 8 hours at various temperatures using a 2.0 wt% catalyst in comparison to oil and a 10 : 1 methanol-to-oil ratio. In 8 hours at 60°C, the greatest conversion of 99.2% was achieved.
is finding is consistent with the findings of Wei et al. [24] who discovered that a higher temperature (65°C) was best for achieving a high yield (>95%). e solvent evaporated and stayed in the vapor phase in the reactor when the reaction was carried out at     International Journal of Chemical Engineering 65°C, which is above the boiling point of methanol, resulting in a decrease in methanol in the reaction medium.

Kinetics of Waste Frying Oil to
Biodiesel. e following concentration-time data in Table 2 were obtained from a simulation using the developed Origin 8 Pro SR4 and MATLAB .mfile and the rate constants reported by Noureddini and Zhu [15]. Using equation (4) and the concentrations at 10 minutes in Table 2, the approximate rate of constants was obtained as given in Table 3.

Catalyst Reusability.
Each cycle of the stability testing employed a new reaction combination of methanol and waste frying oil. Figure 8 depicts the average findings of    biodiesel yield with reaction time as a function of the number of recycled cycles. e rate of reaction was quite high at the end of the 7 hours reaction time for all five runs (with biofuel production surpassing 83%). e decrease in methyl ester production ranged from 99.2% for fresh usage to 83.5% for the fifth reuse as indicated in Figure 8.

Determination of Fuel Properties of Biodiesel
Obtained from Waste Oil. Vegetable oil undergoes a variety of chemical and physical changes while being used, resulting in the formation of certain unwanted and unknown substances. Some of these products are polymers that may be disrupted during the frying and transesterification processes [3]. e oligomeric substances generated during frying enhance the molecular mass of the oil and diminish its volatility. As a result, biodiesel derived from waste oils influences fuel properties such as decreasing burning characteristics and increasing viscosity, resulting in a higher quantity of carbon residue [3,26]. Table 4 shows that the fuel characteristics of biodiesel were equivalent to ASTM standards and regular diesel.

Conclusions
Calcined fish shell catalyst showed significant activity for the transesterification of waste frying oil with methanol to biodiesel, with a yield of 99.2% attained under suitable conditions. By employing waste material as a catalyst and feedstock, this study tackles both environmental and economic concerns of biodiesel synthesis. As a result, it can be argued that this approach is adequate for predicting biodiesel and determining rate constants. e qualities of the fuels were within international guidelines.

Data Availability
e data used to support this study are included within the article.

Conflicts of Interest
e author declares that there are no conflicts of interest.