Esterification of Oleic Acid for Biodiesel Production Using a Semibatch Atomization Apparatus
Table 4
Estimated values of model parameters used to describe esterification kinetics using an atomization apparatus.
2nd approach
3rd approach
Run
KC
kd′
k0(106 L·mol−1·s−1)
Ea(kJ/mol)
R2(%)
χ2
KC1
KC2(K)
kd1′ (10−3 kPa−1)
kd2′
k0(106 L·mol−1·s−1)
Ea(kJ/mol)
R2(%)
χ2
1
1.56
0.84
6.51
59.06
98.60
1.30
34.89
918.99
61.51
0.69
6.25
59.91
97.47
1.86
2
1.55
0.80
96.51
1.49
92.92
2.63
3
1.57
0.95
99.40
0.36
99.35
0.44
4
1.56
0.92
98.76
0.46
98.82
0.45
5
2.49
0.90
97.28
1.46
95.99
1.53
6
2.50
0.88
97.97
0.61
98.63
0.42
7
2.49
0.97
93.38
1.65
92.35
2.02
8
2.47
0.96
96.47
0.69
94.67
1.07
9
1.91
0.92
99.65
0.13
99.71
0.14
10
1.90
0.92
98.98
0.58
98.95
0.63
11
1.90
0.93
99.26
0.39
99.36
0.35
The esterification experiments were conducted using a dual-fluid nozzle atomization system. These runs were carried out with 0.7% (mol/mol) sulfuric acid as the catalyst, a recirculation flow rate of 3.1 L/min, and a reaction time of 120 minutes.
