Figure 1.

Figure 2.

Figure 3.

Figure 4.

Figure 5.

Figure 6.

Figure 7.

Figure 8.

Analysis of variance (ANOVA) for the effects of solvent concentration (X1), ultrasonic time (X2) and liquid-solid ratio (X3) on extraction yield of MELTF with ethanol as solvent using predicted polynomial models_
| Source | Sum of squares | Df | Mean square | F-value | p-value | Significanta |
|---|---|---|---|---|---|---|
| Model | 20.16 | 9 | 2.24 | 10.82 | 0.0024 | |
| X1 | 6.88 | 1 | 6.88 | 33.24 | 0.0007 | |
| X2 | 2.97 | 1 | 2.97 | 14.36 | 0.0068 | ** |
| X3 | 3.13 | 1 | 3.13 | 15.11 | 0.0060 | *** |
| X1X2 | 0.26 | 1 | 0.26 | 1.26 | 0.2987 | ** |
| X1X3 | 0.72 | 1 | 0.72 | 3.49 | 0.1038 | ** |
| X2X3 | 0.15 | 1 | 0.15 | 0.71 | 0.4273 | * |
| X12 | 2.53 | 1 | 2.53 | 12.23 | 0.0100 | * |
| X22 | 1.77 | 1 | 1.77 | 8.53 | 0.0223 | |
| X32 | 1.14 | 1 | 1.14 | 5.49 | 0.0516 | |
| Residual | 1.45 | 7 | 0.21 | |||
| Lack of fit | 0.79 | 3 | 0.26 | 1.58 | 0.3255 | Not significant |
| Pure Error | 0.66 | |||||
| Cor total | 21.61 | 4 | ||||
| R2 | 0.9329 | 16 | ||||
| R2adj. | 0.8467 |
The coded experimental and predicted values for RSM design using ethanol as solvent_
| Run | X1 | X2 | X3 | Extraction yield (mg · g−1) | |
|---|---|---|---|---|---|
| Experimental | Predicted | ||||
| 1 | −1 | −1 | 0 | 5.71 | 5.29 |
| 2 | 0 | 1 | 1 | 8.33 | 8.26 |
| 3 | 0 | 0 | 0 | 7.42 | 8.00 |
| 4 | 0 | 1 | −1 | 6.85 | 6.62 |
| 5 | 0 | −1 | −1 | 5.71 | 5.79 |
| 6 | 1 | −1 | 0 | 6.53 | 6.64 |
| 7 | 0 | 0 | 0 | 7.74 | 8.00 |
| 8 | 0 | 0 | 0 | 8.30 | 8.00 |
| 9 | 1 | 0 | −1 | 7.62 | 7.43 |
| 10 | −1 | 0 | −1 | 4.39 | 4.73 |
| 11 | 0 | 0 | 0 | 8.38 | 8.00 |
| 12 | 0 | −1 | 1 | 6.43 | 6.65 |
| 13 | −1 | 0 | 1 | 6.63 | 6.83 |
| 14 | −1 | 1 | 0 | 6.11 | 6.00 |
| 15 | 1 | 1 | 0 | 7.95 | 8.37 |
| 16 | 1 | 0 | 1 | 8.17 | 7.83 |
| 17 | 0 | 0 | 0 | 8.14 | 8.00 |
Result of model validation experiments_
| No. | Optimum conditions | Extraction yield (mg · g−1) | |||
|---|---|---|---|---|---|
| Solvent concentration (%) | Ultrasonic time (min) | Liquid-solid radio (mL · g−1) | Experimental | Predicted | |
| 1 | 76 | 55 | 22 | 8.79 | 8.62 |
| 2 | 76 | 55 | 22 | 8.28 | 8.62 |
| 3 | 76 | 55 | 22 | 8.39 | 8.62 |
| 4 | 76 | 55 | 22 | 8.56 | 8.62 |
| 5 | 76 | 55 | 22 | 8.93 | 8.62 |
| Average | 8.59 | ||||
| Ethanol leaching extraction | |||||
| 6 | 0 | 20 | 20 | 3.38 | |
| 7 | 0 | 20 | 20 | 3.28 | |
| 8 | 0 | 20 | 20 | 3.42 | |
| Average | 3.36 | ||||
The coded values and corresponding actual values of the optimisation parameters_
| Code | Solvent concentration (%) | Ultrasonic time (min) | Liquid-solid ratio (mL · g-1) |
|---|---|---|---|
| −1 | 60 | 30 | 15 |
| 0 | 70 | 45 | 20 |
| 1 | 80 | 60 | 25 |