Research Article | | Peer-Reviewed

Optimization of Raw Material, Decolourizing Earth and Temperature Use in the Decolourization of Palm Oil

Received: 30 December 2024     Accepted: 20 January 2025     Published: 10 February 2025
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Abstract

The objective of this study was to evaluate the influence of raw material, decolourizing earth and temperature on the colour of bleached palm oil. Two types of decolourizing earth (American and Indian) were used. A four-factor centered composite response surface design was used to determine the effects of the different mentioned factors on the colour response of bleached palm oil at two DOBIs (2.3 and 1.3). The results obtained indicate that Indian earth with DOBI 2.3 oil has the colour variation contour lines at the high level of 16.0 red and at low level of 15.3 red. The decrease in colour around 15.4 is influenced by the effect of opposite temperature levels. The increase in color depends on the bleaching earth used. The temperature influences the colour of the bleached oil depending on the raw material. The bleaching temperature with American earth and a DOBI 1.3 oil, when it is at its high level (120°C) and at its low level (110°C), gives a colour of 15.8 red and 17.6 red, respectively. The optimal discoloration conditions (18.57 red) of CPO palm oil (P ≤ 0.05) are for American earth (with DOBI 1.3 oil): 92°C and 0.035% for temperature and percentage of phosphoric acid; 105°C and 0.6% for temperature and percentage of decolourizing earth. For Indian earth (with DOBI 2.3 oil), we have the optimum (18.66 red): 105°C and 0.035% for temperature and percentage of phosphoric acid; 118.5°C and 0.88% for temperature and percentage of decolourizing earth.

Published in American Journal of Chemical Engineering (Volume 13, Issue 1)
DOI 10.11648/j.ajche.20251301.13
Page(s) 20-35
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Decolourizing Earth, Colour, Temperature, Palm Oil, Optimization, Experimental Design

1. Introduction
Palm oil is rich in saturated fatty acids and therefore solid at room temperature . It tolerates high temperatures well , goes little rancid and gives softness to foods. For this reason, it is useful for many food preparations. This oil is a traditional ingredient in the countries where it is produced, particularly in Cameroon. It is then eaten raw. 80% of its uses go to food (margarines, prepared meals, brioches, cereals, biscuits, ice cream), 19% to non-food products derived from oleochemistry (cosmetics, soaps, lubricants, candles, pharmaceutical products) and for the remaining 1% for the production of an agrofuel, biodiesel . It is also an export product. In this case, it is used refined and deodorized. In Cameroon, as in other producing and consuming countries, raw red palm oil is usually in competition with refined palm oil. This phenomenon is part of the transformations in food models, linked to urbanisation and changes in supply. Consumption surveys reveal a decrease in consumption proportional to the increase in household income in favor of refined oils . Everything that led to the increase in processing industries in Cameroon. Furthermore, the annual deficit in palm oil was 160 thousand tonnes in 2022 . To cope with the importation of these products, refining companies must be competitive and produce refined oil with stable colour. However, oil refining is a set of delicate operations which involves several parameters for its smooth running. These parameters, including raw material, inputs and temperature, require refining operators to carefully combine said parameters. Specially since it is difficult to assess the individual contribution of each of them on the non-conformity of the colour of the refined oil. Nkouam et al. (2017) studied the influence of decolourizing earth and temperature during palm oil bleaching . But, it is known that the sources of supply of crude palm oil refining companies are varied. They range from local producers to industrial palm nut processing companies. It then also becomes important to study the behavior of the refining process depending on raw material and inputs used. The objective of this work is then to optimize the combined use of raw material, decolourizing earth and temperature on bleached palm oil colour.
2. Material and Methods
2.1. Plant Material
Crude palm oil (CPO: Crude Palm Oil) and bleached palm oil (BPO: Bleached Palm Oil) were provided by the AZUR S. A. factory located in the Yassa district (Douala, Cameroun).
2.2. Methods
2.2.1. Characteristics and Effectiveness of the Decolourizing Earths Used
The characteristics of the earths used are those studied by . This is American earth and Indian earth as presented in table 1.
Table 1. Characteristics of the different decolourizing earths.

Parameters

Earth 1

Earth 2

Standard

Moisture (g of water/100g dry matter)

11.76±0.06a

9.57±0.24 b

11% max

pH

7.22±0.02 a

8.12±0.02 b

6.5±1.0

Acidity

0.29±0.01 a

0.12±0.01c

0.3% max H2SO4

Values in rows with different superscript letters are significantly different (p < 0.05)
Earth 1 = American; Earth 2 = Indian
Furthermore, the aforementioned authors also found that the two earths presented efficiency values that were too far apart (table 2). The desired character being the reduction of color and the standard is 20 red max. However, American earth being the best, it will be used for poor quality crude oil (DOBI=1.3). Indian earth will be used for better quality crude oil (DOBI=2.3).
Table 2. Effectiveness of decolourizing earths.

Types of decolourizing earth

Red color of the BPO

Earth 1

15.13±0.15a

Earth 2

15.78±0.49 b

Values in columns with different superscript letters are significantly different (p < 0.05)
Earth 1 = American; Earth 2 = Indian
2.2.2. Determination of DOBI and Bleaching of Crude Palm Oil
These two parameters were determined according to the methods described by . Likewise, the characteristics of the inputs for carrying out bleaching are identical. We associated a DOBI oil equal to 1.3 (table 3). It should be remembered that the DOBI (Deterioration of Bleachability Index) is an indicator of the bleaching capacity of crude palm oil based on the quantity of carotenes present in the crude oil and the quantity of secondary oxidation metabolites. Good crude palm oil that is easily bleached will have a DOBI of 4, while average raw quality will have a DOBI of 2.5 à 3 .
Table 3. Sampling of palm oils.

Inputs

Mass (g)

DOBI

FFA

Temperature (°C)

Percentage (%)

CPO

50

2.3 and 1.3

5.2

H3PO4

100

0.05

Decolourizing earth

120

1.2

The color of the bleached and deodorized oil, as well as the standard of the oil refined at AZUR, did not change (table 4).
Table 4. Standard of refined oil at AZUR S.A.

Products

Standards

BPO

20 red max

RBD

3 red max

Oléine

4 red max

BPO: Bleached palm oil
RBD: Refined Bleached Deodorized oil
2.2.3. Evaluation of the Effect of Raw Material, Decolourizing Earth and Temperature on the Colour Variation of BPO
A four-factor composite experimental design was used to evaluate the effect of raw material, decolourizing earth and temperature on the colour variation of BPO. The bleaching temperatures (in °C), the percentage of phosphoric acid which fixes the phosphatides of the oil (in %) and the percentages of decolourizing earth (in %) were used to determine the different colour responses.
(i). Choice of Factors and Experimental Domain
Bleaching temperatures (in °C), phosphoric acid percentage (in %) and decolourizing earth percentages (in %) were used to determine the different colour responses. The literature of scientific documents and the ranges used in business made it possible to confirm the choice of factors (table 5).
Table 5. Factors, domains of variation and centre of domain.

Real variables

Coded variables

-

-1

0

+1

+

Xi

Introduction temperature of phosphoric acid (°C)

X1

85

90

95

100

105

10

% phosphoric acid

X2

0.035

0.050

0.065

0.080

0.095

0.030

Introduction temperature of decolourizing earth (°C)

X3

105

110

115

120

125

10

% decolourizing earth

X4

0.6

0.8

1.0

1.2

1.4

0.4

Red colour response

Yi

For an experimental design with n factors, the number of experiments is given by the formula: N=2n+2n+C
Number of obligatory trials 2n =16, with n=4; Number of star points 2n=8; Number of tests at centre C ≥ 4. For this study C=6.
We thus have N = 30 experiments, with α= (2n) 0.25, n=4 and α=2
This value of α is characteristic of the iso varying plan by rotation with 6 points at the centre. This gives an axial distance of 2 (Statgraphics centurion XVI (1982-2012)).
(ii). Choice of Experimental Responses
Based on the objective of this work, we chose the red colour response obtained after decolourization. The widely used Response Surface Method (RSM) transformation to obtain real variables is as follows: X = Ui + ΔUi × xi
The previous equation represents the transformation of the coded values of the experiment matrix into real values of the experiment matrix where:
X: is the value of the natural variable (real value); xi: the coded variable value given by the matrix; Ui: the value of the centre of the range of the factor.
Ui= Umax+Umin2
Ui is called «variation step» and characterizes the variation of the real variable associated with a variation of one unit of the corresponding coded variable.
(iii). Experiment Matrix
The experiment matrix (tables 6 and 7) is the table which presents all the experiments to be carried out with the levels of variation of each of the factors. This table is therefore composed of coded variables between +1, 0, -1, α and -α. The proposed model makes it possible to explain the mechanism of the phenomenon studied and to properly represent the experimental response studied in the chosen domain. The responses are regularly expressed as polynomials. Red colour after bleaching is the response. We applied the polynomial model of degree 2, for four variables. The model is of the following form:
Yi=βo+βixi+βiixi2+βijxixj
where Yi is the predicted response, β0 the constant, the linear coefficients βi, the square coefficients βii, the interaction coefficients βij. xi, and xi2 are the levels of the independent variables.
Table 6. Matrix of composite experimental design of American decolourizing earth.

Coded values

Real values

Responses

No

X1

X2

X3

X4

U1

U2

U3

U4

Y

1

0

0

+ α

0

95

0.065

125

1

YAde1

2

- α

0

0

0

85

0.065

115

1

YAde2

3

+ α

0

0

0

105

0.065

115

1

YAde3

4

+1

-1

+1

-1

100

0.05

120

0.8

YAde4

5

0

0

- α

0

95

0.065

105

1

YAde5

6

-1

+1

+1

+1

90

0.08

120

1.2

YAde6

7

-1

-1

+1

-1

90

0.05

120

0.8

YAde7

8

0

0

0

0

95

0.065

115

1

YAde8

9

0

0

0

0

95

0.065

115

1

YAde9

10

-1

-1

-1

+1

90

0.05

110

1.2

YAde10

11

+1

+1

-1

-1

100

0.08

110

0.8

YAde11

12

0

0

0

0

95

0.065

115

1

YAde12

13

0

+ α

0

0

95

0.095

115

1

YAde13

14

+1

+1

+1

+1

100

0.08

120

1.2

YAde14

15

0

0

0

+ α

95

0.065

115

1.4

YAde15

16

-1

+1

-1

+1

90

0.08

110

1.2

YAde16

17

+1

+1

+1

-1

100

0.08

120

0.8

YAde17

18

-1

+1

+1

-1

90

0.08

120

0.8

YAde18

19

0

0

0

- α

95

0.065

115

0.6

YAde19

20

-1

+1

-1

-1

90

0.08

110

0.8

YAde20

21

+1

-1

-1

-1

100

0.05

110

0.8

YAde21

22

-1

-1

+1

+1

90

0.05

120

1.2

YAde22

23

+1

+1

-1

+1

100

0.08

110

1.2

YAde23

24

-1

-1

-1

-1

90

0.05

110

0.8

YAde24

25

0

0

0

0

95

0.065

115

1

YAde25

26

+1

-1

-1

+1

100

0.05

110

1.2

YAde26

27

0

0

0

0

95

0.065

115

1

YAde27

28

0

- α

0

0

95

0.035

115

1

YAde28

29

0

0

0

0

95

0.065

115

1

YAde29

30

+1

-1

+1

+1

100

0.05

120

1.2

YAde30

YAde: American decolourizing earth response
Table 7. Matrix of composite experimental design of Indian decolourizing earth.

Coded values

Real values

Responses

No

X1

X2

X3

X4

U1

U2

U3

U4

Y

1

0

0

0

0

95

0.065

115

1

YIde1

2

0

0

0

0

95

0.065

115

1

YIde2

3

+1

-1

+1

-1

100

0.05

120

0.8

YIde3

4

0

+ α

0

0

95

0.095

115

1

YIde4

5

0

0

0

- α

95

0.065

115

0.6

YIde5

6

+ α

0

0

0

105

0.065

115

1

YIde6

7

-1

-1

-1

+1

90

0.05

110

1.2

YIde7

8

-1

-1

+1

-1

90

0.05

120

0.8

YIde8

9

+1

+1

-1

-1

100

0.08

110

0.8

YIde9

10

+1

+1

-1

+1

100

0.08

110

1.2

YIde10

11

0

0

- α

0

95

0.065

105

1

YIde11

12

0

0

0

+ α

95

0.065

115

1.4

YIde12

13

- α

0

0

0

85

0.065

115

1

YIde13

14

0

0

0

0

95

0.065

115

1

YIde14

15

-1

-1

-1

-1

90

0.05

110

0.8

YIde15

16

-1

+1

+1

+1

90

0.08

120

1.2

YIde16

17

-1

+1

-1

-1

90

0.08

110

0.8

YIde17

18

-1

+1

-1

+1

90

0.08

110

1.2

YIde18

19

0

0

0

0

95

0.065

115

1

YIde19

20

-1

+1

+1

-1

90

0.08

120

0.8

YIde20

21

+1

+1

+1

-1

100

0.08

120

0.8

YIde21

22

-1

-1

+1

+1

90

0.05

120

1.2

YIde22

23

0

- α

0

0

95

0.035

115

1

YIde23

24

+1

-1

-1

-1

100

0.05

110

0.8

YIde24

25

+1

-1

+1

+1

100

0.05

120

1.2

YIde25

26

+1

-1

-1

+1

100

0.05

110

1.2

YIde26

27

0

0

0

0

95

0.065

115

1

YIde27

28

+1

+1

+1

+1

100

0.08

120

1.2

YIde28

29

0

0

+ α

0

95

0.065

125

1

YIde29

30

0

0

0

0

95

0.065

115

1

YIde30

YIde: Indian decolourizing earth response
(iv). Model Validation
Correlation coefficient (R2), adjusted correlation coefficient (adjusted R2), Absolute Mean Deviation Analysis (AADM), bias factor (Bf) and accuracy factor (Af) were used to check validation of the model and prediction of Y responses in the domain defined for the study. The correlation coefficient provides information on the average error of manipulations and must be greater than or equal to 0.90. This adjusted coefficient must be greater than or equal to 0.80. Furthermore, the Absolute Mean Deviation Analysis (AADM) indicates the absolute deviation between the experimental and calculated responses. Its value must be between 0 and 0.3, but should ideally tend towards 0. The bias and accuracy factors are ratios between the experimental and calculated responses. They are indicators of the error generated between the experimental and calculated responses. It should ideally tend towards 1, its value must be between 0.75 and 1.25 .
With: Yiexp the experimental response and Yical the response calculated from the model for an experiment i; p being the total number of experiments.
The bias factor is given by the formula with
The accuracy factor is given by the formula with
2.2.4. Data Analysis and Processing
Absolute Mean Deviation Analysis (AADM), bias and accuracy factors were determined using Excel 2013. Ink software. Calculation of the correlation coefficient (R2) and adjusted correlation coefficient (adjusted R2) was carried out using Statgraphics centurion XVI software (1982-2012) version 16.1.18, Statpoint Technologies, Inc. This software was also used to obtain results in the form of matrix operations (fitness line, effects diagram, model equations) and to assess the behavior of the colour response as a function of the levels of variation of the different variables materialized by the iso-response curves and the surface response 3-D curves.
3. Results and Discussion
3.1. Results of the Experimental Design
3.1.1. Experimental Design with American Decolourizing Earth
The test matrix, obtained from the experiment matrix with use of American decolourizing earth and palm oil with a DOBI 1.3 characteristic, gives the colour values for all combinations (table 8). It makes it possible to appreciate the variation in the colour of bleached palm oil depending on the different combinations of different variables. The combinations could be explained by the fact that the effectiveness of palm oil decolourization depends on the doses of the decolourizing earth and the temperature levels applied .
Table 8. Matrix of tests with American decolourizing earth.

Experiment design with American decolourizing earth

No

X1(°C)

X2(%H3PO4)

X3(°C)

X4(%Earth)

Y experimental

Y theoretical

1

95

0.065

125

1

16.4

16.2542

2

85

0.065

115

1

16.3

16.1208

3

105

0.065

115

1

15.7

15.5375

4

100

0.05

120

0.8

16.3

16.3833

5

95

0.065

105

1

17

16.8042

6

90

0.08

120

1.2

15.8

15.9125

7

90

0.05

120

0.8

16.5

16.6625

8

95

0.065

115

1

17

16.8833

9

95

0.065

115

1

16.9

16.8833

10

90

0.05

110

1.2

16.8

16.9125

11

100

0.08

110

0.8

15.6

15.7333

12

95

0.065

115

1

17

16.8833

13

95

0.095

115

1

15.4

15.2042

14

100

0.08

120

1.2

15.8

15.8833

15

95

0.065

115

1.4

16.4

16.3042

16

90

0.08

110

1.2

15.7

15.75

17

100

0.08

120

0.8

15.8

15.8958

18

90

0.08

120

0.8

16

16.05

19

95

0.065

115

0.6

17.3

17.0542

20

90

0.08

110

0.8

16

16.1625

21

100

0.05

110

0.8

17

17.0958

22

90

0.05

120

1.2

16.2

16.2

23

100

0.08

110

1.2

15.4

15.4458

24

90

0.05

110

0.8

17.6

17.65

25

95

0.065

115

1

16.8

16.8833

26

100

0.05

110

1.2

16.4

16.4833

27

95

0.065

115

1

16.8

16.8833

28

95

0.035

115

1

17

16.8542

29

95

0.065

115

1

16.8

16.8833

30

100

0.05

120

1.2

16

16.0458

X1: Introduction temperature of phosphoric acid; X2: Percentage of phosphoric acide; X3: Introduction temperature of decolourizing earth; X4: Percentage of decolourizing earth
Equation 1 is obtained from the experimental design with the use of American decolourizing earth and a raw material with DOBI 1.3 characteristic.
Colour=16.8833-0.145833X1-0.4125X2-0.1375X3-0.1875X4-0.263542
Colour=16.8833-0.145833X1-0.4125X2-0.1375X3-0.1875X4-0.263542 +0.03125X1X2+0.06875X1X3+0.03125X1X4-0.213542 +0.21875X2X3+0.08125X2X4-0.0885417 +0.06875X3X4-0.0510417 (1)
(i). Mathematical Analysis of the Results
We observe from the signs of the coefficients of the model (table 9) that six interactions namely X1X2 (introduction temperature of phosphoric acid/% phosphoric acid), X1X3 (introduction temperature of phosphoric acid/introduction temperature of decolourizing earth), X1X4 (introduction temperature of phosphoric acid/% decolourizing earth), X2X3 (% phosphoric acid/introduction temperature of decolourizing earth), X2X4 (% phosphoric acid/% decolourizing earth), X3X4 (introduction temperature of decolourizing earth/% decolourizing earth), with respectively coefficients 0.03125, 0.06875, 0.03125, 0.21875, 0.08125 and 0.06875 contribute to the increase in the colour of bleached palm oil instead of decreasing it. All others coefficients with negative signs contribute to the decrease in the colour of bleached palm oil. The most signifcant terms in palm oil decolourisation in descending order are: X2: 38.95% (% phosphoric acid), : 15.90% (quadratic term; introduction temperature of phosphoric acid), X2X3: 10.95% (% phosphoric acid/ introduction temperature of decolourizing earth), : 10.44% (quadratic term; % phosphoric acid), X4: 8.05% (% decolourizing earth), X1: 4.87% (introduction temperature of phosphoric acid), X3: 4.33% (introduction temperature of decolourizing earth). These five terms contribute 93.49% to the discolouration of palm oil during crude oil refining. The interactions , X1X2, X1X4 which have insignificant weights on the response (0.60%: 0.22%, 0.22% respectively) must be taken away from the model equation.
Table 9. Coefficient of factors and weights on the response with American earth.

Factors

Coefficient

Squared coefficient

% effect

Constant

16.8833

X1

-0.145833

0.02126726

4.86837924

X2

-0.4125

0.17015625

38.9511861

X3

-0.1375

0.01890625

4.32790957

X4

-0.1875

0.03515625

8.04776573

-0.263542

0.06945439

15.8990969

X1X2

0.03125

0.00097656

0.22354905

X1X3

0.06875

0.00472656

1.08197739

X1X4

0.03125

0.00097656

0.22354905

-0.213542

0.04560019

10.4385312

X2X3

0.21875

0.04785156

10.9539034

X2X4

0.08125

0.00660156

1.51119157

-0.0885417

0.00783963

1.79460343

X3X4

0.06875

0.00472656

1.08197739

-0.0510417

0.00260526

0.59637996

=0.43684485

The equation of the reduced model after remouval of non-influential factors is as follows:
Colour=16.8833-0.145833X1-0.4125X2-0.1375X3-0.1875X4-0.263542
Colour=16.8833-0.145833X1-0.4125X2-0.1375X3-0.1875X4-0.263542 +0.06875X1X3-0.213542 +0.21875X2X3+0.08125X2X4-0.0885417 +0.06875X3X4(2)
The optima in coded and real values are presented in Table 10.
Table 10. Optima in coded and real values of equation (2).

Factors

X1

X2

X3

X4

Yoptimum

Coded values

-0,56

-1,99

-2

-1,99

Real values

92.2°C

0.035%

105°C

0.6%

18.5658

X1: Introduction temperature of phosphoric acid; X2: Percentage of phosphoric acide; X3: Introduction temperature of decolourizing earth; X4: Percentage of decolourizing earth
(ii). Graphical Analysis of Results and Validation of Models
Table 11. Validation of the decolouration model.

Validation elements

Obtained values

Standards values

Acceptable values

R2

0.96

1

≥ 0.90

Ajusted R2

0.92

1

≥0.80

AADM

0.00657329

0

0 – 0.3

Bf

1.000025194

1

0.75 – 1.25

Af

1.000025194

1

0.75 – 1.25

Statistical analysis showed that the proposed model is valid with satisfactory values of R2, ajusted R2, Bf and AADM. Indeed, the coefficient of the regression line is 0.96. The adjusted coefficient of determination is 0.92, and the bias and accuracy factors have a value of 1.000. Finally, the AADM value tends towards 0 (table 11). The model can be used to navigate within the experimental domain and predict the evolution of the colouring of bleached palm oil depending on the factors.
3.1.2. Experiment Design with Indian Decolourizing Earth
The test matrix, obtained from the experiment matrix with the use of Indian decolourizing earth and palm oil with a DOBI 2.3 characteristic, give the response values for all combinations (table 12).
Table 12. Matrix of tests with Indian decolourizing earth.

Experiment design with Indian decolourizing earth

No

X1 (°C)

X2 (%H3PO4)

X3 (°C)

X4 (%Earth)

Y experimental

Y theoretical

1

95

0.065

115

1

16.4

16.4

2

95

0.065

115

1

16.4

16.4

3

100

0.05

120

0.8

17

17.0917

4

95

0.095

115

1

16.2

16.2458

5

95

0.065

115

0.6

16

15.7792

6

105

0.065

115

1

17

16.7792

7

90

0.05

110

1.2

14.5

14.1625

8

90

0.05

120

0.8

15.2

15.2958

9

100

0.08

110

0.8

15.6

15.4917

10

100

0.08

110

1.2

15.9

15.7458

11

95

0.065

105

1

15.2

15.3458

12

95

0.065

115

1.4

15

15.0625

13

85

0.065

115

1

14.8

14.8625

14

95

0.065

115

1

16.4

16.4

15

90

0.05

110

0.8

15.3

15.3583

16

90

0.08

120

1.2

15.9

15.6625

17

90

0.08

110

0.8

16

15.9458

18

90

0.08

110

1.2

15.5

15.625

19

95

0.065

115

1

16.4

16.4

20

90

0.08

120

0.8

15.7

15.7583

21

100

0.08

120

0.8

15.4

15.6792

22

90

0.05

120

1.2

14

14.325

23

95

0.035

115

1

16.4

16.1958

24

100

0.05

110

0.8

16.6

16.7792

25

100

0.05

120

1.2

16.7

16.6958

26

100

0.05

110

1.2

16

16.1583

27

95

0.065

115

1

16.4

16.4

28

100

0.08

120

1.2

16

16.1583

29

95

0.065

125

1

16

15.6958

30

95

0.065

115

1

16.4

16.4

X1: Introduction temperature of phosphoric acid; X2: Percentage of phosphoric acide; X3: Introduction temperature of decolourizing earth; X4: Percentage of decolourizing earth
Equation 3 is obtained from the experimental design using Indian decolourizing earth and a raw material with a DOBI 2.3 characteristic.
Colour=16.4+0.479167X1+0.0125X2+0.0875X3-0.179167X4-0.144792
Colour=16.4+0.479167X1+0.0125X2+0.0875X3-0.179167X4-0.144792 -0.46875X1X2+0.09375X1X3+0.14375X1X4-0.0447917 -0.03125X2X3+0.21875X2X4-0.219792 +0.05625X3X4-0.244792 (3)
(i). Mathematical Analysis of the Results
We observe from the signs of the coefficients of the model (table 13) that three factors and four interactions which are: X1 (introduction temperature of phosphoric acid), X2 (% phosphoric acid), X3 (introduction temperature of decolourizing earth), X1X3 (introduction temperature of phosphoric acid/introduction temperature of decolourizing earth), X1X4 (introduction temperature of phosphoric acid/% decolourizing earth), X2X4 (% phosphoric acid/% decolourizing earth) et X3X4 (introduction temperature of decolourizing earth/% decolourizing earth) with respectively coefficients 0.479167, 0.0125, 0.0875, 0.09375, 0.14375, 0.21875 and 0.05625 contribute to the increase in the colour of bleached palm oil instead of decreasing it. All other coefficients with negative signs contribute to the decrease in the colour of bleached palm oil. The most significant terms in palm oil decolourisation in descending order are: X1: 32.71% (introduction temperature of phosphoric acid), X1X2: 31.31% (introduction temperature of phosphoric acid /% phosphoric acid), : 8.54% (quadratic term; % decolourizing earth), : 6.88% (quadratic term; introduction temperature of decolourizing earth), X2X4: 6.82% (% phosphoric acid/% decolourizing earth). These five terms contribute 86.25% to the discolouration of palm oil during crude oil refining. The factor X2 (% phosphoric acid) and the interactions X3X4, , X2X3 which have insignificant weights on the response (0.02%, 0.45%, 0.29%, 0.14% respectively) must be removed from the model equation.
Table 13. Coefficient of factors and weights on the response with Indian decolourizing earth.

Factors

Coefficient

Squared coefficient

% effect

Constant

16.4

X1

0.479167

0.22960101

32.7118756

X2

0.0125

0.00015625

0.02226136

X3

0.0875

0.00765625

1.09080658

X4

-0.179167

0.03210081

4.57348952

-0.144792

0.02096472

2.98690066

X1X2

-0.46875

0.21972656

31.3050359

X1X3

0.09375

0.00878906

1.25220144

X1X4

0.14375

0.02066406

2.94406471

-0.0447917

0.0020063

0.28584246

X2X3

-0.03125

0.00097656

0.13913349

X2X4

0.21875

0.04785156

6.81754115

-0.219792

0.04830852

6.88264559

X3X4

0.05625

0.00316406

0.45079252

-0.244792

0.05992312

8.53740897

= 0.70188887

The equation of the reduced model after elimination of non-influential factors is as follows:
Colour=16.4+0.479167X1+0.0875X3-0.179167X4-0.144792
Colour=16.4+0.479167X1+0.0875X3-0.179167X4-0.144792 -0.46875X1X2+0.09375X1X3+0.14375X1X4+0.21875X2X4-0.219792 -0.244792 (4)
Solving this equation makes it possible to obtain the optima in coded and in real values (table 14).
Table 14. Optima in coded and real values of equation (4).

Factors

X1

X2

X3

X4

Yoptimum

Coded values

+2

-2

+0.71

-0.58

Real values

105°C

0.035%

118.5°C

0.88%

18.6643

X1: Introduction temperature of phosphoric acid; X2: Percentage of phosphoric acide; X3: Introduction temperature of decolourizing earth; X4: Percentage of decolourizing earth
(ii). Graphical Analysis of Results and Validation of Model
We also observe that the proposed model is valid with satisfactory values of R2, ajusted R2, Bf and AADM. Indeed, the coefficient of the regression line is 0.95. The adjusted coefficient of determination is 0.90, and the bias and accuracy factors have a value of 1.000. Finally, the AADM value tends towards 0 (table 15). The model can be used to navigate within the experimental domain and predict the evolution of the colouring of bleached palm oil depending on the factors.
Table 15. Validation of the decolouration model.

Validation elements

Obtained values

Standard values

Acceptable values

R2

0.95

1

≥ 0.90

ajusted R2

0.90

1

≥0.80

AADM

0.00789217

0

0 – 0.3

Bf

1.0000546

1

0.75 – 1.25

Af

1.0000546

1

0.75 – 1.25

3.2. Optimization of Decolouration
3.2.1. Influence of Temperature Levels and Quality of Decolourizing Earths on the Color of Bleached Oil
Figure 1 (a, b, c) represents the iso-response curves and the surface response curves of colour variation after bleaching with the use of Indian decolourizing earth with a raw material of DOBI 2.3. It is observed that this earth has the colour variation contour lines at the high level of 16.0 red and at the low level of 15.3 red. The optimum value obtained is 18.7 red. It is also observed that the values of the colour responses increase with the introduction temperature of phosphoric acid, the percentage of phosphoric acid and the introduction temperature of the decolourizing earth. This could be explained by the fact that high temperatures promote the decomposition of carotenoïds. Indeed, heat treatments can affect the integrity of carotenoïds . In addition, the increase in temperature contributes in reducing the viscosity of the oil, thus esuring better dispersion of particles and the maximum fixation of gums likely to be found in palm oil . It also appears that the reduction in colour is influenced by the effect of opposite temperature levels: the low level of the first temperature and the high level of the second temperature are an illustration of this with a high colour around 16.2. Therefore, the minimum temperature for introducing phosphoric acid should not be used because it contributes to reducing its effectiveness. However, the temperature at which the earth is introduced should not exceed 105°C because the higher temperatures during decolouration could cause colour reversion.
Furthermore, these values of the colour variation contour lines are higher than those obtained by with American decolourizing earth with values of high level of 14.4 red and low level of 13 red. This shows that the increase in colour depends on the decolourizing earth used. This difference in values could be explained by the fact that American earth presents a better performance than Indian earth, with an optimum value of 15.6. This particularity given to American earth is due to its specific characterisation (high acidity, pH). This characteristic ensures better fixation of the colored compounds and gums found in crude palm oil. This fixation can be understood by the affinity of the anions (gums fixed by H3PO4) for the metal ions on the surface of the adsorbent such as Ca2+, Mg2+ which contributes to better fixation of these compounds. Furthermore, and showed that the acid concentration is the most important factor in the bleaching process and that the improvement in the bleaching power of clay accompanies the increase in the concentration of the solution. Indeed, the acid activation of the decolourizing earth increases its specific exchange surface and its porosity . This contributes to effective absorption of colored compounds and gums.
Figure 1. Iso-response and surface response 3-D curves of colour variation with Indian earth and a DOBI 2.3 raw material.
X1: Introduction temperature of phosphoric acid (°C); X2: Percentage of phosphoric acid (%); X3: Introduction temperature of the decolourizing earth (°C); X4: Percentage of decolourizing earth (%)
3.2.2. Influence of Temperature Levels and Quality of Palm Oil on the Colour Bleached Oil
Figure 2 (a, b, c, d, e, f) and figure 3 (a, b, c, d, e, f) show, respectively, the contour curves and the surface response 3-D curves of the red colour obtained after bleaching, with American earth and the use of the same raw material of DOBI 1.3, but at high and low temperature levels. We note that the bleaching temperature, when at its high level (120°C), gives a color of 15.8 red. At its low level (110°C), it gives a colour of 17.6 red. These values are also higher than those obtained by with American earth and DOBI 2.3 oil, with high level values of 14.2 red and low level of 15.4 red.
These contour lines graphically show that temperature influences the colour of the bleached oil depending on the raw material. This could be explained by the fact that the bleaching temperature depends on the quality of the raw material. The degradation of the raw material involves the existence of oxidation compounds, which, in the presence of high temperatures, cause dark decolourations. These oxidation compounds are difficult to extract during refining. In addition, during refining, they polymerise under the action of high temperatures and make the refined oil dark . DOBI is a very important parameter for predicting the refining suitability of crude palm oil. Crude palm oil with a DOBI value (≤1,8) is difficult to refine due to the presence of oxidation compounds which are difficult to remove during refining . This can lead to instability of the colour of palm olein obtained from degraded palm oils. It is therfore necessary to know the value of DOBI before refining.
Figure 2. Iso-response curves of colour variation with American earth and a DOBI 1.3 raw material.
X1: Introduction temperature of phosphoric acid (°C); X2: Percentage of phosphoric acid (%); X3: Introduction temperature of the decolourizing earth (°C); X4: Percentage of decolourizing earth (%)
Figure 3. Surface response 3-D curves of colour variation with American earth and a DOBI 1.3 raw material.
X1: Introduction temperature of phosphoric acid (°C); X2: Percentage of phosphoric acid (%); X3: Introduction temperature of the decolourizing earth (°C); X4: Percentage of decolourizing earth (%)
4. Conclusion
The objective of this work was to optimize the combined use of raw material, decolourizing earth and temperature on the colour of bleached palm oil. Two different decolourizing earths (American and Indian) were used, as well as two different DOBI palm oils (2.3 and 1.3). The influence of these three parameters on the colour of bleached palm oil was evaluated using four-factor composite experimental designs. The results obtained indicate that the Indian earth with palm oil of DOBI 2.3 has the contour lines of colour variation at the high level of 16.0 red and at the low level of 15.3 red. Colour response values increase with temperature and percentage of phosphoric acid. The decrease in colour around 15.4 is influenced by the effect of opposite temperature levels. The increase in colour depends on the decolourizing earth used. Indian earth binds less colored compounds and gums from crude palm oil. It remains less efficient than American earth.
The temperature influences the colour of the bleached oil depending on the raw material. The bleaching temperature, when at its high and low levels, result in a colour of 15.8 red and 17.6 red, respectively. Crude palm oil with a DOBI value of 1.3 is delicate to refine due to the presence of oxidation products.
The second-order polynomial models, with satisfactory validation in terms of R2, adjusted R2, AAMD, Bf and Af were generated and described the decolourization process. The optimal decolouration conditions (≤ 20 red max) of crude palm oil (P ≤ 0,05) are: for american earth (with a DOBI 1.3 oil) 92.2°C and 0.035% for temperature and percentage of phosphoric acid; 105°C and 0.6% for temperature and percentage of decolourizing earth. For Indian earth (with a DOBI 2.3 oil) 105°C and 0.035% for temperature and percentage of phosphoric acid; 118.5°C and 0.88% for temperature and percentage of decolourizing earth. These optima are recommended for the decolourization of oils of such quality.
Abbreviations

CPO

Crude Palm Oil

BPO

Bleached Palm Oil

DOBI

Deterioration of Bleachability Index

DOBI 1.3

Deterioration of Bleachability Index 1.3

DOBI 2.3

Deterioration of Bleachability Index 2.3

RBD

Refined Bleached Deodorized Oil

YAde

American Decolourizing Earth Response

YIde

Indian Decolourizing Earth Response

R2

Correlation Coefficient

AAMD

Absolute Mean Deviation Analysis

Bf

Bias Factor

Af

Accuracy Factor

Acknowledgments
The authors deeply thank the company AZUR S. A. of Douala (Cameroon), for the availability of raw materials and for the collaboration.
Author Contributions
Pascaline Didja: Data curation, Formal Analysis, Investigation, Writing – original draft
Gilles Bernard Nkouam: Conceptualization, Data curation, Investigation, Methodology, Software, Supervision, Validation, Writing – original draft, Writing – review & editing
Musongo Balike: Formal Analysis, Methodology, Software, Validation
Jean Bosco Tchatchueng: Methodology, Software, Supervision, Validation
Crépin Ella Missang: Supervision, Validation, Visualization
César Kapseu: Supervision, Visualization
Danielle Barth: Supervision, Visualization
Conflicts of Interest
The authors declare no conflicts of interest.
References
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[14] Nkouam G. B., Didja, P., Tchankou Leudeu, C. B., Tchatchueng, J. B., Kapseu C., Barth D. Optimisation of decolourizing earth and temperature use in the decolourisation of palm oil, International Journal of Agriculture Innovations and Research. 2017, 6(2), 268-274.
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    Didja, P., Nkouam, G. B., Balike, M., Tchatchueng, J. B., Missang, C. E., et al. (2025). Optimization of Raw Material, Decolourizing Earth and Temperature Use in the Decolourization of Palm Oil. American Journal of Chemical Engineering, 13(1), 20-35. https://doi.org/10.11648/j.ajche.20251301.13

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    Didja, P.; Nkouam, G. B.; Balike, M.; Tchatchueng, J. B.; Missang, C. E., et al. Optimization of Raw Material, Decolourizing Earth and Temperature Use in the Decolourization of Palm Oil. Am. J. Chem. Eng. 2025, 13(1), 20-35. doi: 10.11648/j.ajche.20251301.13

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    Didja P, Nkouam GB, Balike M, Tchatchueng JB, Missang CE, et al. Optimization of Raw Material, Decolourizing Earth and Temperature Use in the Decolourization of Palm Oil. Am J Chem Eng. 2025;13(1):20-35. doi: 10.11648/j.ajche.20251301.13

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  • @article{10.11648/j.ajche.20251301.13,
      author = {Pascaline Didja and Gilles Bernard Nkouam and Musongo Balike and Jean Bosco Tchatchueng and Crépin Ella Missang and César Kapseu and Danielle Barth},
      title = {Optimization of Raw Material, Decolourizing Earth and Temperature Use in the Decolourization of Palm Oil
    },
      journal = {American Journal of Chemical Engineering},
      volume = {13},
      number = {1},
      pages = {20-35},
      doi = {10.11648/j.ajche.20251301.13},
      url = {https://doi.org/10.11648/j.ajche.20251301.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajche.20251301.13},
      abstract = {The objective of this study was to evaluate the influence of raw material, decolourizing earth and temperature on the colour of bleached palm oil. Two types of decolourizing earth (American and Indian) were used. A four-factor centered composite response surface design was used to determine the effects of the different mentioned factors on the colour response of bleached palm oil at two DOBIs (2.3 and 1.3). The results obtained indicate that Indian earth with DOBI 2.3 oil has the colour variation contour lines at the high level of 16.0 red and at low level of 15.3 red. The decrease in colour around 15.4 is influenced by the effect of opposite temperature levels. The increase in color depends on the bleaching earth used. The temperature influences the colour of the bleached oil depending on the raw material. The bleaching temperature with American earth and a DOBI 1.3 oil, when it is at its high level (120°C) and at its low level (110°C), gives a colour of 15.8 red and 17.6 red, respectively. The optimal discoloration conditions (18.57 red) of CPO palm oil (P ≤ 0.05) are for American earth (with DOBI 1.3 oil): 92°C and 0.035% for temperature and percentage of phosphoric acid; 105°C and 0.6% for temperature and percentage of decolourizing earth. For Indian earth (with DOBI 2.3 oil), we have the optimum (18.66 red): 105°C and 0.035% for temperature and percentage of phosphoric acid; 118.5°C and 0.88% for temperature and percentage of decolourizing earth.
    },
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - Optimization of Raw Material, Decolourizing Earth and Temperature Use in the Decolourization of Palm Oil
    
    AU  - Pascaline Didja
    AU  - Gilles Bernard Nkouam
    AU  - Musongo Balike
    AU  - Jean Bosco Tchatchueng
    AU  - Crépin Ella Missang
    AU  - César Kapseu
    AU  - Danielle Barth
    Y1  - 2025/02/10
    PY  - 2025
    N1  - https://doi.org/10.11648/j.ajche.20251301.13
    DO  - 10.11648/j.ajche.20251301.13
    T2  - American Journal of Chemical Engineering
    JF  - American Journal of Chemical Engineering
    JO  - American Journal of Chemical Engineering
    SP  - 20
    EP  - 35
    PB  - Science Publishing Group
    SN  - 2330-8613
    UR  - https://doi.org/10.11648/j.ajche.20251301.13
    AB  - The objective of this study was to evaluate the influence of raw material, decolourizing earth and temperature on the colour of bleached palm oil. Two types of decolourizing earth (American and Indian) were used. A four-factor centered composite response surface design was used to determine the effects of the different mentioned factors on the colour response of bleached palm oil at two DOBIs (2.3 and 1.3). The results obtained indicate that Indian earth with DOBI 2.3 oil has the colour variation contour lines at the high level of 16.0 red and at low level of 15.3 red. The decrease in colour around 15.4 is influenced by the effect of opposite temperature levels. The increase in color depends on the bleaching earth used. The temperature influences the colour of the bleached oil depending on the raw material. The bleaching temperature with American earth and a DOBI 1.3 oil, when it is at its high level (120°C) and at its low level (110°C), gives a colour of 15.8 red and 17.6 red, respectively. The optimal discoloration conditions (18.57 red) of CPO palm oil (P ≤ 0.05) are for American earth (with DOBI 1.3 oil): 92°C and 0.035% for temperature and percentage of phosphoric acid; 105°C and 0.6% for temperature and percentage of decolourizing earth. For Indian earth (with DOBI 2.3 oil), we have the optimum (18.66 red): 105°C and 0.035% for temperature and percentage of phosphoric acid; 118.5°C and 0.88% for temperature and percentage of decolourizing earth.
    
    VL  - 13
    IS  - 1
    ER  - 

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