Environmental Engineering Reference
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d
C
(4-20)
Hg
kC
1
g
d
t
where
(4-21)
kkC
1
HCl
Natural logarithms were substituted on both sides, and the following formula was
derived:
d
C
(4-22)
Hg
ln
ln
k
ln
C
1
Hg
d
t
d
C
Thus, a straight line could be drawn from
to ln C Hg . And α could
Hg
ln
d
t
thus be obtained from the slope of the line. Also, k 1 could be obtained from the
linear intercept. In order to obtain the dependence of the reaction rate on HCl,
natural logarithms were substituted on both sides of Eq. (4-21) as follows:
(4-23)
ln
k
ln
k
ln
C
1
HCl
During the experiment, with excessive HCl concentration, it was changed to
obtain the values of k 1 ~ C HCl . A line could be drawn from ln k 1 to ln C HCl . Then, β
could be obtained from the slope, and k could be obtained from the linear intercept.
This approach was shown in the literature.
The overall reaction rate constant could be expressed using the Arrhenius for-
mula as follows:
(4-24)
kA
exp(
ERT
/
)
a
where E a is the energy activation; A is the preexponential factor; R is the gas con-
stant; and T is the gas temperature.
Natural logarithms were substituted on both sides and the following expression
was derived:
E
1
(4-25)
ln
k
ln
A RT
A line could be drawn from ln k to 1/ T to obtain the energy activation E a and the
pre-exponential factor A of the adsorption reaction.
 
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