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ð
B k f k ; T torr exp E k
f k ¼
ð
1
a k
Þ¼
exp
t
t start ; fixed T Þ
;
T ¼ T torr
ð
9
Þ
RT torr
where B k is the pr e-exponential rate constant, E k the activation energy for the kth
component, and R is the universal gas constant. The overall conversion (F) during
the torrefaction process can be determined from the conversion of each biomass
component (f k ) using Eq. ( 3 ).
2.4 Respiratory Quotient (RQ)
Considering a power plant producing a
fixed amount of power, heat input from the
fuel and oxygen consumption for most fuels are
fixed. Hence, a fuel with higher RQ
factor will result in more CO 2 being released into the environment. Fuel chemical
composition can be used to determine the fuel heating value using an empirical
relation given by Boie (Annamalai and Puri 2007 ).
HHV
ð
kJ
=
kmol
Þ¼
422
;
270
C
þ
117
;
385
H
177
;
440
O
þ
87
;
985
N
þ
335
;
510
S
ð
10
Þ
where C, H, O, N, and S are the number of carbon, hydrogen, oxygen, nitrogen, and
sulfur atoms, respectively, in the fuel. Stoichiometric oxygen needed for complete
combustion of a C C H H N N O O S S can be determined from the fuel chemical com-
position using the following relation.
4
2 þ
32
C
þ
S
m O 2 ð
kg of oxygen/kg of fuel
Þ¼
M fuel
4 C
2 C þ
S
C
32
C
1
þ
¼
ð
11
Þ
M fuel
From Eqs. ( 10 ) and ( 11 ), Higher heating value of fuels per kg of stoichiometric
oxygen (HHV O 2 ) can be determined. It was estimated that HHV O 2 calculated for all
the fuels was around 14,000 kJ/kg O 2 (Annamalai and Puri 2007 ; Thanapal 2014 ).
Based on the fuel composition, RQ of a particular fuel with C atoms of carbon
which can produce C moles of carbon dioxide can be determined using the fol-
lowing equation.
1
RQ ¼
þ C
ð
12
Þ
4C
2C
1
þ
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