F. K u¨ c¸ u¨ k, K. Yildiz / Thermochimica Acta 448 (2006) 107–110
109
Fig. 3. TG analysis of (a) non-activated alunite and (b) activated alunite at different heating rates.
◦
various heating rates (β = 5, 10, 15 and 20 K min 1) are shown
in Fig. 3 for (a) non-activated alunite and (b) activated alunite.
According to isoconversional method, the basic data of α and T
collected from Fig. 3(a and b) are illustrated in Tables 1 and 2,
respectively.
−
The second peak is at about 820 C for both non-activated and
activated alunite ore. This is due to the desulphation, as given in
Eqs. (2)–(4) [12]:
2
2
3
2
KAl(SO4) → K3Al(SO4) + Al2(SO4)
(2)
(3)
(4)
2
3
3
3
2
3
1
3
According to the above-mentioned equations, the plots of
log β versus 1000/T and ln(β/T ) versus 1000/T corresponding
K3Al(SO4) → K2SO4 + Al2(SO4)
3
3
2
2
3
2
3
Al2(SO4) → Al2O3 + 2SO2 + O2
The TG curve for non-activated alunite ore shows two steps
of weight losses. The weight losses are about 8% for dehydra-
tion and about 22% as the total weight loss after desulphation. In
non-activatedalunitedehydrationtakesplaceatacertaintemper-
ature range. This is an expected property for crystalline alunite.
However, activated alunite exhibited dehydration reaction start-
to different conversions α can be obtained by a linear regress
of least-square method, respectively. The activation energies E␣
can be calculated from the slopes of every line with better linear
correlation coefficient r. The slopes change depending on the
degree of conversion, α, for the dehydration and desulphation
3
Table 1
α–T data at different heating rates, β (K min 1), for non-activated alunite
−
◦
ing from 100 C. This is result of amorphisation and structural
disordering, providing with mechanical activation.
α
T (K)
Dehydration
Desulphation
β = 10 β = 15 β = 20
3
.3. Activation energy of dehydration and desulphation
β = 5 β = 10 β = 15 β = 20 β = 5
steps
0
0
0
0
0
.1 764.6 785.2 796.1 801.6 1017.7 1047.6 1061.5 1069.1
.2 792.8 806.8 814.2 819.3 1038.5 1061.4 1073.3 1080.1
.3 804.5 817.1 824.1 828.7 1043.8 1070.3 1081.9 1088.6
.4 811.9 824.5 831.7 836.4 1055.5 1077.4 1089.1 1095.8
.5 818.1 831.1 838.6 843.5 1062.9 1083.7 1095.3 1102.1
Decomposition of solids is the subject of many kinetic stud-
ies. It helps to understand the following decomposition mecha-
nism: A(s) → B(s) + C(g). This is a model-free method, which
involves measuring the temperatures corresponding to fixed val-
ues of α from experiments at different heating rates (β). The
activation energies (E␣) can be calculated according to the iso-
convertional methods. In kinetic study of both non-activated and
activated alunite, Ozawa and KAS equations were used to deter-
mine the activation energy of the dehydration and desulphation
reactions.
0.6 823.9 837.4 845.5 851.1 1068.5 1089.2 1100.9 1107.9
0.7 830.1 844.5 853.8 860.2 1073.5 1094.2 1106.1 1113.4
0
.8 842.6 853.9 864.9 872.6 1078.1 1099.1 1111.3 1119.1
Table 2
α–T data at different heating rates, β (K min 1), for activated alunite
−
The equations used for E␣ calculation are:
α
T (K)
ꢀ
ꢁ
AE␣
0.4567E␣
Dehydration
Desulphation
β = 10 β = 15 β = 20
Ozawa equation : log β= log
− 2.315 −
Rg(α)
RT
β = 5 β = 10 β = 15 β = 20 β = 5
(5)
0
0
.1 393.6 413.6 424.2 435.3
.2 442.0 456.1 466.0 477.9
0.3 488.6 511.1 518.7 531.3
885.1
951.1
927.5
986.1
932.7
997.8 1014.5
958.6
ꢂ
ꢃ
ꢀ
ꢁ
ꢂ
ꢃ
β
AE␣
E␣
986.7 1019.2 1031.5 1045.2
KAS equation : ln
= ln
−
(6)
2
0.4 556.9 587.8 594.3 610.7 1011.7 1042.0 1053.3 1065.5
T
Rg(α)
RT
0
0
0
0
.5 652.1 691.1 694.3 713.4 1030.0 1057.1 1068.3 1078.6
.6 731.1 754.4 760.1 771.1 1042.6 1067.5 1078.1 1087.2
.7 766.3 783.7 788.2 794.9 1050.9 1074.7 1084.9 1093.8
.8 784.7 800.1 803.9 809.9 1056.9 1080.7 1091.1 1100.4
ꢄ
α
−1
where g(α) =
f(α) dα is the integral form of the f(α).
At the constant condition of other parameters, the TG curves
for dehydration and desulphation of alunite in air atmosphere at
0