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Source
Kappa
Unbleached
R2 Preexponential
Factor
A
Reaction order# EA
[kJ mol–1]
k
[Kappa(q–1) ·
min–1]
Kappa
[calc after
m n q 30 mina]
Hsu & Hsie [10] Southern
pine
29.5 0.94 3.20E+10 0.68 1.28 5.23 97.2 1.90E-07 12.2
Iribarne &
Schroeder [12]
Pinus taeda 20.3–58 0.92 3.00E+06 0.70 0.70 2.00 51.0 1.02E-03 14.2
Argawal et al [3] Southern
hardwood
13.2 0.96 4.42E+07 1.20 0.23 7.08 98.9 9.91E-09 8.8
Argawal et al [3] Southern
hardwood
28.6 0.97 4.42E+07 1.20 0.23 6.00 98.9 9.91E-09 14.4
Argawal et al [3] Southern
hardwood
47.9 n.d. 4.42E+07 1.20 0.23 5.15 98.9 9.91E-09 21.8
a. assuming initial Kappa number, K0 = 25.
0 10 20 30 40 50 60
κ
=13.2, q = 7.08
κ
=28.6, q = 6.00
k = 9.879*10-9 kappa(q-1) min-1
κ
=47.9, q = 5.15
Kappa number
Reaction time [min]
Fig. 7.29 Course of kappa numbers throughout
oxygen delignification at 100 °C, 12% consistency,
0.085 mol L–1 NaOH and 0.0048 mol L–1
dissolved oxygen (equals an oxygen pressure
of 690 kPa) according to Agarwal et al. [3].
Points correspond to the experimental data,
the curves represent the calculated values
using k equal to 9.879·10–9 kappa6,7 min–1.
A good agreement between the experimental data and the model curves can be
obtained by adjusting the apparent rate order q appropriately. The lower apparent
orders q for pulps with the higher initial kappa numbers would mean a higher
proportion of easily eliminated lignin. In terms of Schoon’s model, the fraction of
first-order rate constants with a high delignification rate increases correspondingly.
Unfortunately, this explanation does not account for unbleached pulps of equal
or comparable kappa numbers, but different reactivity of the residual lignin. Zou
et al. have prepared four different hardwood pulps of the same kappa number
(15–16) under different cooking conditions [14]. The extent of a subsequent oxygen
delignification clearly increases for pulps which are cooked with increasing
amounts of effective alkali. According to Agarwal et al., the rate constant k of oxygen
delignification remains constant at given reaction conditions (e.g., 90 °C,
60 min, 0.051mol L–1 [OH– ], 0.005 mol L–1 dissolved oxygen). This implies that
the apparent order q increases parallel to the increasing fraction of easily degradable
lignin to account for the accelerated delignification rate. On the other hand,
the reaction rate coefficient increases while keeping the apparent reaction order q
constant at the (recalculated) average value of 7.44. The results of these calculations
are summarized in Tab. 7.15.
The interpretation of Agarwal et al. that a lower value of q would correlate with
a lower fraction of refractory lignin structures can only be applied for pulps of different
initial kappa numbers [3]. In case the initial kappa number remains
unchanged, a higher extent of delignification during oxygen delignification is
678 7Pulp Bleaching
Tab. 7.15 Kinetic parameters of the power-law rate equation for
oxygen delignification of hardwood kraft pulps of comparable
kappa numbers obtained by different cooking conditions
according to Zou et al. [14]. Rate Eq. (25) is fitted in two ways:
(a) by keeping the reaction rate constant, k, constant; and (b) by
keeping the apparent order, q, constant. The constant reaction
rate, k, is calculated by using the kinetic parameters obtained
by Agarwal et al. [3] and considering the conditions of oxygen
delignification: 90 °C, 0.051 mol L–1 [OH– ] OH, 0.005 mol L–1
dissolved oxygen, 60 min.
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