The adsorbency values of AWS were simulated by a proposed
herein novel model incorporating the autohydrolysis severity
factor R0. The severity factor (Abatzoglou et al., 1992) is defined
as
R0 =
t
0
e(T−Tr )/ωdt (1)
where T is the biomass processing temperature in ◦C, t is the
time in min, Tr is the reference temperature in ◦C, and ω an
empirical parameter (expressed in K to keep the exponent in
dimensionless form) related with the activation energy, which
can be expressed as
ω =
R · T2
r
E (2)
where R = 0.0083 kJmol−1 K−1 and E is the activation energy
(kJmol−1). In this work, treatments were carried up to reach
maximum temperatures in the range 160–240 ◦C. Assuming
Tr = 100 ◦C or Tr = 373 K and E = 104.0 kJmol−1, Eq. (2) gives
ω = 11.10 K; integration of Eq. (1) allowed the calculation of
R0 for each experiment. The E value was estimated equal to
104.0 kJmol−1, as reported in an earlier work (Sidiras et al.,
2011b).
The theoretical adsorbency values Aijk curve is estimated
by the solution of the following expressions, suggested in the
present work:
dA
ijk
dR0
= b1ijk × (A
∞,ijk − A
ijk) (3)
The adsorbency values of AWS were simulated by a proposedherein novel model incorporating the autohydrolysis severityfactor R0. The severity factor (Abatzoglou et al., 1992) is definedasR0 =t0e(T−Tr )/ωdt (1)where T is the biomass processing temperature in ◦C, t is thetime in min, Tr is the reference temperature in ◦C, and ω anempirical parameter (expressed in K to keep the exponent indimensionless form) related with the activation energy, whichcan be expressed asω =R · T2rE (2)where R = 0.0083 kJmol−1 K−1 and E is the activation energy(kJmol−1). In this work, treatments were carried up to reachmaximum temperatures in the range 160–240 ◦C. AssumingTr = 100 ◦C or Tr = 373 K and E = 104.0 kJmol−1, Eq. (2) givesω = 11.10 K; integration of Eq. (1) allowed the calculation ofR0 for each experiment. The E value was estimated equal to104.0 kJmol−1, as reported in an earlier work (Sidiras et al.,2011b).The theoretical adsorbency values Aijk curve is estimatedby the solution of the following expressions, suggested in thepresent work:dAijkdR0= b1ijk × (A∞,ijk − Aijk) (3)
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