Table 6.10 LHHW models
used by Arnold and Roberts
(2000) for the reduction of
chlorinated ethenes and
chlorinated acetylenes by ZVI
Rate-determining step
Rate equation
Adsorption
dCi
dt ¼ À
P
N j
j¼1
k
a
ij St
Ci
1þ
P Nm
m6 ¼i
KmCm
¼ Àk obs à C i
Surface reaction
dCi
dt ¼ À
P
N j
j¼1
k
s
ij St
KiCi
1þ
P Nm
m6 ¼i
KmCm
¼ Àk obs à C i
Desorption
dCi
dt ¼ À
P Nj
j¼1 k
d
ij S t
k is the kinetic constant, superscript a refers to adsorption constant
(μM
À1 h
À1
), superscript s to surface reaction constant (h
À1
) and
superscript d to desorption constant (h
À1
); C is the aqueous concentration (μM); S t is the abundance of reactive sites per liter of
solution (μM); K is an adsorption constant (μM
À1
); N j is the total
number of primary products formed directly from the parent; N m is
the total number of species that inhibit the reaction of the parent
Table 6.11 Model-derived kinetic parameters for chlorinated ethylenes and related species in the
absence of interspecies competitors (from Arnold and Roberts 2000)
Parent
Product
(k
s
S t ) (μM h
À1
)
K (μM
À1
)
PCE
TCE
3.63 (Æ0.52) Â 10
À3
0.058 (Æ0.014)
PCE
Dichloroacetylene
2.48 (Æ0.46) Â 10
À2
0.058 (Æ0.014)
TCE
trans-DCE
7.72 (Æ9.68) Â 10
À4
0.065 (Æ0.009)
TCE
cis-DCE
5.91 (Æ0.53) Â 10
À3
0.065 (Æ0.009)
TCE
1,1-DCE
4.42 (Æ0.49) Â 10
À3
0.065 (Æ0.009)
TCE
Chloroacetylene
0.33 (Æ0.03)
0.065 (Æ0.009)
trans-DCE
VC
5.32 (Æ15.1) Â 10
À2
0.016 (Æ0.002)
trans-DCE
Acetylene
4.42 (Æ0.45)
0.016 (Æ0.002)
cis-DCE
VC
0.14 (Æ0.06)
0.029 (Æ0.003)
cis-DCE
Acetylene
2.18 (Æ0.15)
0.029 (Æ0.003)
1,1-DCE
Ethylene
3.72 (Æ0.25)
0.016 (Æ0.002)
Acetylene
Ethylene
11.51 (Æ1.24)
0.109 (Æ0.022)
Chloroacetylene
Acetylene
6.46 (Æ0.94)
0.261 (Æ0.086)
Dichloroacetylene
cis-DCE
1.02 (Æ1.34)
0.051 (Æ0.014)
Dichloroacetylene
trans-DCE
2.96 (Æ1.27)
0.051 (Æ0.014)
Dichloroacetylene
Chloroacetylene
12.97 (Æ2.46)
0.051 (Æ0.014)
Parent
Product
(k
a S t ) (h
À1
)
VC
Ethylene
6.55 (Æ0.93) Â 10
À2
Ethylene
Ethane
2.15 (Æ0.25) Â 10
À2
Values are for 0.25 g Fe
0
/160 mL buffer solution
6 In Situ Chemical Reduction of Chlorinated Organic Compounds
323
used by Arnold and Roberts
(2000) for the reduction of
chlorinated ethenes and
chlorinated acetylenes by ZVI
Rate-determining step
Rate equation
Adsorption
dCi
dt ¼ À
P
N j
j¼1
k
a
ij St
Ci
1þ
P Nm
m6 ¼i
KmCm
¼ Àk obs à C i
Surface reaction
dCi
dt ¼ À
P
N j
j¼1
k
s
ij St
KiCi
1þ
P Nm
m6 ¼i
KmCm
¼ Àk obs à C i
Desorption
dCi
dt ¼ À
P Nj
j¼1 k
d
ij S t
k is the kinetic constant, superscript a refers to adsorption constant
(μM
À1 h
À1
), superscript s to surface reaction constant (h
À1
) and
superscript d to desorption constant (h
À1
); C is the aqueous concentration (μM); S t is the abundance of reactive sites per liter of
solution (μM); K is an adsorption constant (μM
À1
); N j is the total
number of primary products formed directly from the parent; N m is
the total number of species that inhibit the reaction of the parent
Table 6.11 Model-derived kinetic parameters for chlorinated ethylenes and related species in the
absence of interspecies competitors (from Arnold and Roberts 2000)
Parent
Product
(k
s
S t ) (μM h
À1
)
K (μM
À1
)
PCE
TCE
3.63 (Æ0.52) Â 10
À3
0.058 (Æ0.014)
PCE
Dichloroacetylene
2.48 (Æ0.46) Â 10
À2
0.058 (Æ0.014)
TCE
trans-DCE
7.72 (Æ9.68) Â 10
À4
0.065 (Æ0.009)
TCE
cis-DCE
5.91 (Æ0.53) Â 10
À3
0.065 (Æ0.009)
TCE
1,1-DCE
4.42 (Æ0.49) Â 10
À3
0.065 (Æ0.009)
TCE
Chloroacetylene
0.33 (Æ0.03)
0.065 (Æ0.009)
trans-DCE
VC
5.32 (Æ15.1) Â 10
À2
0.016 (Æ0.002)
trans-DCE
Acetylene
4.42 (Æ0.45)
0.016 (Æ0.002)
cis-DCE
VC
0.14 (Æ0.06)
0.029 (Æ0.003)
cis-DCE
Acetylene
2.18 (Æ0.15)
0.029 (Æ0.003)
1,1-DCE
Ethylene
3.72 (Æ0.25)
0.016 (Æ0.002)
Acetylene
Ethylene
11.51 (Æ1.24)
0.109 (Æ0.022)
Chloroacetylene
Acetylene
6.46 (Æ0.94)
0.261 (Æ0.086)
Dichloroacetylene
cis-DCE
1.02 (Æ1.34)
0.051 (Æ0.014)
Dichloroacetylene
trans-DCE
2.96 (Æ1.27)
0.051 (Æ0.014)
Dichloroacetylene
Chloroacetylene
12.97 (Æ2.46)
0.051 (Æ0.014)
Parent
Product
(k
a S t ) (h
À1
)
VC
Ethylene
6.55 (Æ0.93) Â 10
À2
Ethylene
Ethane
2.15 (Æ0.25) Â 10
À2
Values are for 0.25 g Fe
0
/160 mL buffer solution
6 In Situ Chemical Reduction of Chlorinated Organic Compounds
323