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Optimization of graphine fe3o4
1. Magnetite (Chitosan-Fe3O4.
) nanocomposite for removal of heavy metals
from aqueous solutions
Objective :
To optimize (RSM) removal of lanthanum metal from waste water using Chitosan-Fe3O4.
RSM
Response surface modeling (RSM) is an empirical statistical technique that uses quantitative data obtained from
appropriately designed experiments to determine regression model and operating conditions (Alam et al., 2007;
Ricou-Hoeffer et al., 2001; Tan et al., 2008).
Optimization studies : Four variables
Adsorbent dose
Temperature
pH of the solution
Reaction time
2. Box–Behnken design
Due to its Suitability to fit quadratic surface
• 28 experiments were formulated
• The optimum values of the selected variables were obtained
by solving the regression equation
• Each of the parameters was coded at Maximum and minimum
The chosen independent variables used in this study were coded
according to Equation
• xi is the dimensionless coded value
• X0 is the value of Xi at the center point and ∆X is the step change value
The behavior of the system is explained by the following empirical second-order polynomial
model Eq
3. Variables
Adsorbent dose – 3mg to 10mg
Temperature - 20̊ C to 60̊ C
pH of the solution- 3 to 11
Reaction time -10min to 250min
6. Effects Half-Normal Probability Plot
• Large effects (absolute values) appear in the upper-right section of the plot.
• The lower-left portion of the plot contains effects caused by noise rather than a true effect
Design-Expert?Software
concentration
Color points by value of
concentration:
99.88
74.73
Actual
Predicted
Predicted vs. Actual
70
80
90
100
110
70 80 90 100 110
7. Perturbation
It comprises mathematical methods for finding an approximate solution to a problem
It helps to compare the effect of all the factors at a particular point in the design space
Design-Expert?Software
Factor Coding: Actual
Std Error of Design
Actual Factors
A: Temp = 30.2703
B: pH = 3.64865
C: Reaction time = 214.865
D: Concentration = 8.67568
-2.000 -1.000 0.000 1.000 2.000
0.400
0.600
0.800
1.000
1.200
1.400
1.600
A A
B B
C C
D D
Perturbation
Deviation from Reference Point (Coded Units)
StdErrorofDesign
8. ANOVA for Response Surface Quadratic model
Analysis of variance table [Partial sum of squares - Type III]
Sum of Mean F p-value
Source Squares df Square Value Prob > F
Model 1201.79 14 85.84 6.58 0.0006 significant
A-Temp 2.00 1 2.00 0.15 0.7011
B-pH 544.86 1 544.86 41.79 < 0.0001
C-Reaction time 60.84 1 60.84 4.67 0.0486
D-Concentration 6.37 1 6.37 0.49 0.4962
AB 2.48 1 2.48 0.19 0.6693
AC 24.21 1 24.21 1.86 0.1945
AD 0.18 1 0.18 0.014 0.9080
BC 25.96 1 25.96 1.99 0.1801
BD 0.096 1 0.096 7.371E-003 0.9328
CD 22.71 1 22.71 1.74 0.2081
A^2 0.20 1 0.20 0.015 0.9039
B^2 488.78 1 488.78 37.49 < 0.0001
C^2 6.27 1 6.27 0.48 0.4994
D^2 8.55 1 8.55 0.66 0.4316
Residual 182.53 14 13.04
Lack of Fit 166.03 10 16.60 4.03 0.0958 not significant
Pure Error 16.49 4 4.12
Cor Total 1384.32 28
The Model F-value of 6.58 implies the model is significant. There is only
a 0.06% chance that an F-value this large could occur due to noise.
13. Temp 25.41
pH 10.24
Reaction time 150.00
Concentration 6.50
Mean
91.8215
The equilibrium adsorption capacity was calculated from the
relationship
=((10-0.13mg/lt *1lt)/3mg
=9.7mg/3mg
14. Optimization of chitosan –MgO ( For Lanthanam)
pH
L pH 3
Lanthanum Nitrate
(La : 100 mg/L)
0.09 99.91
100
L pH 5 1.64 98.36
L pH 7 24.79 75.21
L pH 9 0.14 99.86
L pH
11
0.45 99.55
99.91
98.36
75.21
99.86 99.55
70.00
80.00
90.00
100.00
110.00
120.00
L pH 3 L pH 5 L pH 7 L pH 9 L pH 11
Series1
15. S pH 3
Strontium Nitrate
(Sr : 100 mg/L)
26.1
S pH 5 15.0
S pH 7 24.4
S pH 9 11.0
S pH 11 2.4
Optimization of chitosan –MgO ( For strontium)
pH
73.91
84.99
75.55
89.04
97.58
70.00
80.00
90.00
100.00
110.00
120.00
S pH 3 S pH 5 S pH 7 S pH 9 S pH 11
Series1