Как выбрать гостиницу для кошек
14 декабря, 2021
Kinetic parameters are evaluated using equation (5) at a heating rate of 10, 30 and 50 °С/min. Figures 6-9 shows the plot of lnpi against 1/T at different mass fraction reacted (a) for cellulose, lignin, EFB and PS. The higher lnpi values shows high heating rate (50 °C/min) followed by 30 and 10 °C/ min. Kinetic parameters evaluated at each a are given in the Tables 4-7. For pure cellulose and lignin, the kinetic parameters are determined at a=0.1 to 0.8 and a=0.1 to 0.6, respectively. EFB and PS kinetic parameters are evaluated at a=0.1 to 0.7. Among all samples, pure lignin produced highest residual fraction and hence kinetic parameter determined up to a=0.6. The correlation coefficients (R2) determined are higher than 0.991 for all cases.
Fig. 6. The dependence of ln(P^) on 1/T at a different a values of cellulose (solid lines shows linear fitting) |
Fig. 7. The dependence of ln(pi) on 1/T at a different a values of lignin (solid lines shows linear fitting) |
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a |
E (kJ / mol) |
R2 |
A (m-1) |
0.1 |
95.01 |
0.990 |
9.1E+107 |
0.2 |
123.28 |
0.990 |
4.4E+109 |
0.3 |
143.67 |
0.999 |
7.9E+1010 |
0.4 |
183.89 |
0.999 |
3.8E+1013 |
0.5 |
184.22 |
0.995 |
1.2E+1012 |
0.6 |
318.48 |
0.992 |
1.2E+1016 |
Average |
175 |
0.994 |
2.06E+1015 |
Table 5. Kinetic parameters of lignin at different a values |
a |
E (kJ/ mol) |
R2 |
A (m-1) |
0.1 |
135.88 |
0.998 |
3.9*1013 |
0.2 |
154.59 |
0.996 |
6.0*1014 |
0.3 |
169.01 |
0.998 |
4.5*1015 |
0.4 |
171.96 |
0.998 |
4.7*1015 |
0.5 |
169.92 |
0.993 |
9.1*1013 |
0.6 |
125.60 |
0.997 |
9.4*1010 |
0.7 |
131.69 |
0.997 |
4.0*109 |
Average |
151 |
0.997 |
1.4*1015 |
Table 6. Kinetic parameters of EFB at different a values |
a |
E (KJ/mol) |
R2 |
A (m-1) |
0.1 |
165.20 |
0.999 |
6.5*1015 |
0.2 |
176.23 |
0.999 |
1.9*1016 |
0.3 |
200.13 |
0.999 |
6.2*1017 |
0.4 |
194.15 |
0.998 |
5.4*1016 |
0.5 |
186.27 |
0.999 |
7.6*1015 |
0.6 |
214.97 |
0.992 |
5.9*1016 |
0.7 |
255.68 |
0.998 |
4.0*1014 |
Average |
199 |
0.998 |
1.1*1017 |
Table 7. Kinetic parameters of PS at different a values |
The kinetic parameters for EFB, PS, pure cellulose and lignin are determined as listed in the Table 8 and compared with experimental works reported. The average activation energy of cellulose is 160 kJ/mol and pre-exponential factor is 1.2*1013 m-1 for first order kinetic model. Several researchers found that first order kinetics fit well for cellulose decomposition reaction (Varhegyi et al., 1997; Gronli et al., 1999; Hu et al., 2007).
Activation energy evaluated for cellulose in the present study is in good agreement with the work reported by Zhang et al. (2009) for a first order kinetic model. Nevertheless, the value is comparatively low corresponding to values reported by Varhegyi et al. (1997), Gronli et al. (1999) and Yang et al. (2004). The reason may be different source of cellulose and different method followed by the authors. Secondly, this may be due to relatively high heating rates used in the present study. Meanwhile, Hu et al. (2007) reported high activation energy (233 kJ/mol) using Flynn-Wall-Ozawa method at low heating rates of 2.5, 5, 10 °С/ min. Gronli et al. (1999) observed the effect of different heating rates on activation energy for cellulose and found low activation energy at high heating rates. Similarly, much lower activation energies were found by Milosavljevic et al. (1995) at high heating rates. The same effect was also observed for pre-exponential factor. This is due to the heat transfer limitation between sample particles and the surroundings at high heating rates. Varhegyi et al. (1997) suggested utilization of low sample mass to minimize the heat transfer limitations at high heating rates.
Kinetic Parameters |
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Biomass |
E |
A |
n |
R2 |
Reference |
(kJ/mol) |
(m-1) |
(-) |
|||
Cellulose |
160 |
1.2×1013 |
1 |
0.997 |
This study |
175 |
7.16×1012 |
1 |
0.999 |
Zhang et al. (2009) |
|
Lignin |
175 |
2.06×1015 |
1 |
0.994 |
This study |
171 |
2.73×1025 |
1 |
— |
Morugun et al. (2008) |
|
EFB |
151 |
1.4×1015 |
5.3 |
0.997 |
This study |
61 |
3.14×102 |
1 |
0.991 |
Yang et al. (2004) |
|
199 |
1.1×1017 |
5.0 |
0.998 |
This study |
|
PS |
111 |
5.27×107 |
2.54 |
— |
Luangkiattikhun et al. (2008) |
Table 8. Comparison of kinetic parameters |
Pure lignin is decomposed with average activation energy of 175 kJ/mol and preexponential factor of 2.06×1015 m-1 for first order kinetics model. These kinetic parameters are in good agreement with work reported by Murugan et al. (2008).
EFB and PS are decomposed with the average activation energy of 151 and 199 kJ/mol and reaction order of 5 and 5.3, respectively. The corresponding average pre-exponential factors evaluated for EFB and PS are 1.4×1015 and 1.1×1017 m-1, respectively. These values are somehow larger than those reported by Yang et al. (2004) for first order reaction kinetics. Luangkiattikhun et al. (2008) and Guo & Lua, (2001) observed lower activation energy and pre-exponential factor based on single-step nth order and first order kinetic model for PS. However, in these studies, comparatively high values were obtained using two step kinetic models.
Based on kinetic parameters, it is easy to decomposed EFB as compared to PS, pure cellulose and lignin. The order of decomposition from fast to slow is EFB > cellulose > lignin > PS.
A biomass decomposition study has been carried out to investigate different breakdown region and kinetic parameter evaluation for EFB and PS. As major components of biomass, pure cellulose and lignin decomposition kinetics were also studied. TG and DTG curves were studied in detail to understand the major decomposition region in EFB, PS, pure cellulose and lignin. The kinetic parameters of EFB and PS are found to be higher compared to reported values in the literatures. This difference may be due to the different methods for kinetic parameter determination and relatively high heating rates used in the present study. Based on the kinetic parameters, PS was difficult to decompose as compared to EFB. The possible reason is may be relatively high lignin content present in PS. This high lignin content was also responsible for low decomposition rate of PS as compared to EFB. Pure lignin had the lowest decomposition rate among all the species. Moreover, lignin content in PS was decomposed at high temperature as compared to EFB based on higher heating rates.
The author thanks the Petroleum Research Fund (PRF) of PETRONAS and Universiti Teknologi PETRONS for their financial support.