Saponification of Jatropha curcas Seed Oil : Optimization by D-Optimal Design

In this study, the effects of ethanolic KOH concentration, reaction temperature, and reaction time to free fatty acid (FFA) percentage were investigated. D-optimal design was employed to study significance of these factors and optimum condition for the technique predicted and evaluated. The optimum conditions for maximum FFA% were achieved when 1.75 M ethanolic KOH concentration was used as the catalyst, reaction temperature of 65◦C, and reaction time of 2.0 h. This study showed that ethanolic KOH concentration was significant variable for saponification of J. curcas seed oil. In an 18-point experimental design, percentage of FFA for saponification of J. curcas seed oil can be raised from 1.89% to 102.2%.


Introduction
Saponification of oils is the applied term to the operation in which ethanolic KOH reacts with oil to form glycerol and fatty acids.Production of fatty acid and glycerol from oils is important especially in oleochemical industries.Glycerol and fatty acids are widely used as raw materials in food, cosmetics, pharmaceutical industries [1,2], soap production, synthetic detergents, greases, cosmetics, and several other products [3].The soap production starting from triglycerides and alkalis is accomplished for more than 2000 years by [4].
These reactions produce the fatty acids that are the starting point for most oleochemicals production.As the primary feedstocks are oils and fats, glycerol is produced as a valuable byproduct.Reaction routes and conditions with efficient glycerol recovery are required to maximize the economics of large-scale production [5].Lipid saponification is usually carried out in the laboratory by refluxing oils and fats with different catalysts [6].The reaction can be catalyzed by acid, base, or lipase, but it also occurs as an uncatalyzed reaction between fats and water dissolved in the fat phase at suitable temperatures and pressures [7].
Researchers have used several methods to saponify oils such as enzymatic saponification using lipases from Aspergillus niger, Rhizopus javanicus, and Penicillium solitum [8], C. rugosa [1], and subcritical water [3].Historically, soaps were produced by alkaline saponification of oils and fats, and this process is still referred to as saponification.Soaps are now produced by neutralization of fatty acids produced by fat splitting, but alkaline saponification may still be preferred for heat-sensitive fatty acids [9].Nowadays, researchers have used potassium hydroxide-catalyzed hydrolysis of esters which is sometimes known as saponification because of its relationship with soap making.There are two big advantages of doing this.The reactions are one way rather than reversible, and the products are easier to separate as shown in [3].
This study is executed for the factors that affect the process for saponification of J. curcas seed oil.D-optimal design was used to evaluate the effect of three factors, such as ethanolic KOH concentration, reaction temperature, and reaction time which were studied for the optimum saponification.

Methodology
2.1.Experimental Procedure.FAs were obtained by the saponification of J. curcas seed oil, as carried out by [10].Table 1 shows the different concentration of ethanolic KOH, different reaction temperature, and different reaction time The FFA% and the FAs composition from saponified J. curcas seed oil were determined using GC-FID according to [11].

Experimental Design and Statistical Analysis.
A threefactor D-optimal design was employed to study the responses of the FFA% (Y in %, by wt, see (1)).An initial screening step was carried out to select the major response factors and their values.The independent variables were X 1 , X 2 , and X 3 representing the concentration of ethanolic KOH (M), reaction temperature ( • C), and reaction time (h), respectively.The settings for the independent variables were as follows (low and high values): KOH concentration of 1.0 and 2.0, reaction temperature of 50 and 70, and reaction time of 1.5 and 2.5.Each variable to be optimized was coded at three levels: −1, 0, and +1.A quadratic polynomial regression model was assumed for predicting individual Y variables.The model proposed for each response of Y was where β 0 , β i , β ii , and β i j are constant, linear, square, and interaction regression coefficient terms, respectively, and x i and x j are independent variables.The Minitab software version 14 (Minitab Inc., USA) was used for multiple regression analysis, analysis of variance (ANOVA), and analysis of ridge maximum of data in the response surface regression (RSREG) procedure [12].

Results and Discussion
D-optimal design was employed to study the percentage of FFA by ethanolic KOH saponification of J. curcas seed oil.Experimental results of the percentage of FFA for ethanolic KOH reactions with J. curcas seed oil are given in Table 2.
The results show the saponification performances of the ethanolic KOH effects on the saponification reaction when submitted to different experimental conditions.Table 2 illustrates the variation of the percentage of FFA when, simultaneously, the concentration of the ethanolic KOH is analyzed.For 1.00 M of ethanolic KOH, practically no effect on the percentage of FFA was observed.On the other hand, increase in the concentration of ethanolic KOH (1.00, 1.50, 1.75, and 2.00 M, resp.)showed increas in the percentage of FFA, which has the highest value of FFA% at 1.75 M ethanolic KOH (102.2%) and has been chosen for the optimum conditions as can be seen in Table 2.A different observation was reported by other researchers for saponification of various vegetable using C. rugosa lipase [13][14][15].Increase in enzyme concentration did not give any significant changes in the reaction rate [15].
Table 2 displays a general view of the behavior of the saponification yield as a function of the different temperatures (50, 60, 65, and 70 • C).However, the results show with increase the reaction temperature increases the saponification of J. curcas seed oil in positive way or vice versa, which means that the maximum of the saponification (102.2%) at 65 • C has been chosen for the optimum conditions as shown in Table 2.This theory has been reported by [1] by using enzyme C. rugosa lipase.Increasing of the reaction temperature has affected the production of fatty acids which clearly showed an increase in conversion.
Table 2 indicates the percentage of FFA using different times (1.5, 2.0, and 2.5 h) with different variables such as concentration of ethanolic KOH and reaction temperatures.As shown in Table 2, percentage of FFA increases with increasing the reaction time.Furthermore, 2.0 h was chosen to obtain highest percentage of FFA (102.2%).The quadratic regression coefficient obtained by employing a least-squares method technique to predict quadratic polynomial models for the percentage of FFA (Y ) is given in Table 3.
Examination of these coefficients with a t-test shows that for the percentage of FFA in the concentrate (Y ) the linear, square, and interaction terms of concentration of ethanolic KOH (X 1 ) were highly significant (P < 0.01), and the linear terms of the reaction temperature (X 2 ) were also highly significant (P < 0.01), while the reaction time (X 3 ) for the percentage of FFA (Y ) in the concentrate was significant at P < 0.05.The coefficients of independent variables (concentration of KOH: X 1 , temperature: X 2 , and time: X 3 ) determined for the quadratic polynomial models (Table 3) for the percentage of FFA (Y ) are given below: ( International Journal of Chemical Engineering 3    ANOVAs for the fitted models are summarized in Table 4. Examinations of the model with an F-test and t-test indicate a nonsignificant lack of fit at P > 0.05 relative to pure error (9.56%).The regression coefficient (R 2 ) for data on the percentage of FFA was 0.99 (Table 3).
Equation (2) showed that the percentage of FFA has a complex relationship with independent variables that encompass both first-and second-order polynomials.Response surface methodology (RSM) is one of the best ways of evaluating the relationships between responses, variables, and interactions that exist.Significant interaction variables in the fitted models (Table 3) were chosen as the axes (concentration of KOH: X 1 , temperature: X 2 , and time: X 3 ) for the response surface plots.The relationships between   shows the combination of levels of the concentration of KOH and saponification temperature that can afford the same level of the percentage of FFA.Canonical analysis was performed on the predicted quadratic polynomial models to examine the overall shape of the response surface curves and was used to characterize the nature of the stationary points.Canonical analysis is a mathematical approach used to locate the stationary point of the response surface and to determine whether it represents a maximum, minimum, or saddle point [16].
The model of saponification FFA was developed on the basis of the analysis of RSM.The concentration of KOH was the most important parameter for the percentage of FFA, and the observed value was reasonably close to the predicted value as shown in Figure 4.The process may help produce high percentage of FFA from an economic point of view, as well as being a promising measure for further utilization of agriculture products.D-optimal design was employed to study the composition of FFA by ethanolic KOH saponification of J. curcas seed oil through FAMEs analysis before and after the saponification.The analyses made by GC-FID had a positive identification of acids fatty.Experimental results of the percentage of the composition of FFA for ethanolic KOH reactions with J. curcas seed oil are given in Table 5.The comparative data indicate that no significant difference under the optimum conditions P < 0.05.
Table 5 shows a comparison the composition of fatty acids before the saponification (a) and after saponification at different ethanolic KOH concentration (b and c, resp.) as determined directly by GC-FID, through FAMEs analysis.Intermediate products formed in the saponification, as well as the methyl esters by FAMEs [17].The comparative data indicate that the saponification does not cause the decomposition of the fatty acids.

Conclusion
D-optimal design provided a powerful tool to optimize the saponification conditions that permit an important improvement in the percentage of saponification.The results indicate that the optimization using a response surface methodology based on D-optimal design was useful software in improving the optimization of FFA%.

Figure 1 :
Figure 1: Response surface (a) and contour plots (b) for the effect of the ethanolic KOH (X 1 , w) and reaction temperature (X 2 , • C) on the FFA%.

Figure 2 :
Figure 2: Response surface (a) and contour plots (b) for the effect of the ethanolic KOH (X 1 , w) and reaction time (X 3 , h) on the FFA%.

Figure 3 :
Figure 3: Response surface (a) and contour plots (b) for the effect of the reaction temperature (X 2 , • C) and reaction time (X 3 , h) on the FFA%.
independent and dependent variables are shown in the threedimensional representation as response surfaces.The response surfaces for the percentage of FFA (Y ) in the concentrates were given in Figures1, 2, and 3.The contour plot (Figures 1(b), 2(b), and 3(b))

Figure 4 :
Figure 4: Predicated versus actual plot of Y .

Table 1 :
Independent variables and their levels for D-optimal design of the saponification reaction.

Table 2 :
D-optimal design optimization of J. curcas seed oil saponification and response for FFA%.

Table 3 :
Regression coefficients of the predicted quadratic polynomial model for response variables Y (FFA%).F test valueSee Table2for a description of the abbreviations.

Table 4 :
Analysis of variance (ANOVA) of the response Y for FFA%.
a Df: degree freedom; b F-value: distribution.

Table 5 :
D-optimal design arrangement for the concentration effect of ethanolic alkaline solution KOH, temperature ( • C) and time (h) to the FAs composition before and after the saponification.
a J. curcas seed oil, b, c, d saponification at 70 • C.
International Journal of Chemical Engineering