456 Inorganic Chemistry, Vol. 37, No. 3, 1998
Maiella and Brill
Table 3. Arrhenius Parameters in H2O at 275 bar
Ea, kJ/
+
Table 2. Effect on the Rate of CO2 Formation of Excess NH4 and
SCN- in 1.0 m NH4SCN (T ) 553 K, P ) 275 bar)
ln(A, kg/
(mol‚s))
concn. kg/mol
reacn
NH4OCN (eq 2) Pt/Ir-diamond
NH4OCN (eq 2) 316 SS-sapphire 473-573 59
cell
T, K
mol
NH4SCN
NH4NO3
KSCN
kobsd, kg/(mol‚s)
kobsd/[X]
473-573 67.5 ( 7 18.6 ( 0.3
17.1
1.0
1.0
1.0
1.0
1.0
1.0
1.0
0
0
0
0
0
0.5
0.75
1.0
0.027 ( 0.004
0.038 ( 0.005
0.046 ( 0.007
0.050 ( 0.005
0.043 ( 0.009
0.049 ( 0.003
0.055 ( 0.008
0.027
0.025
0.026
0.025
0.029
0.028
0.028
NH4SCN (eq 3) 316 SS-sapphire 543-573 113 ( 11 21 ( 2
0.5
0.75
1.0
0
0
0
OCS (eq 7)
316 SS-sapphire 393-423 44 ( 5
13 ( 1a
a Units are s-1
.
were acquired by modeling the hydrothermolysis of 1.05 m urea
at 473-573 K in which the hydrothermolysis of NH4OCN is
one of the observable steps. The most consistent rate constants
and Arrhenius parameters were extracted from the species
profiles of eqs 1 and 2 by using the appropriate, iteratively-
rate constants calculated from the appropriate rate expression19 when
excess NH4+ and excess SCN- have been added. The kinetic analysis
was limited to residence times of 10 s or less so that plug flow
conditions could be assumed. Weighted least-squares regressions were
used to determine all of the rate constants and Arrhenius parameters.
The statistical weight ωi used was 1/σ2, where σ is the standard
deviation. Where applicable, ωi was approximated as k2ωi.20
The products of hydrothermolysis of NH4SCN were also identified
after heating the solution in a sealed 12 cm3 316 SS tube in a fluidized
sand bath. By the trapping of the gases released when the tube was
opened, the existence of H2S, which was not detected in the IR spectrum
due to its low molar absorptivity, was confirmed by its mass spectrum
(m/z ) 32, 33, 34).
The kinetics of hydrothermolysis of carbonyl sulfide were determined
on an aqueous solution that had been saturated with OCS (Matheson)
by bubbling and stirring in an autoclave for approximately 175 min at
296 K. The solutions had a concentration of approximately 0.25 m
based on total conversion to CO2. This solution was pumped in the
closed flow reactor as described above, and the rate of conversion to
CO2 was measured at 393-423 K under 275 bar.
We had hoped to include the hydrothermolysis of NH4SeCN in this
study for comparison with NH4OCN and NH4SCN. NH4SeCN was
synthesized,21 but the plan was abandoned when it was found by batch
reaction that Se deposited on the tube walls. Such an occurrence would
plug the flow reactor. Although the mechanism of hydrothermolysis
of NH4SeCN was not determined, the formation of solid Se may result
from the H2Se h H2 + Se equilibrium.
Ab initio quantum mechanical calculations were performed with the
General Atomic and Molecular Electronic Structure System (GAMESS).22
The energy gradient method was used to optimize the geometry of each
species. Urea, carbamate, and cyanate were optimized by using the
HF/311G basis set. The HF/31G basis set was used for thiourea,
monothiocarbamate, and thiocyanate. Vibrational frequencies were
calculated using second derivatives at the forementioned levels to
confirm the stationary point structures. Second-order Møller-Plesset
perturbation calculations (MP2)23,24 at the forementioned levels were
executed to account for the effects of electron correlation in the total
energies.
(NH2)2CO f NH4+ + OCN-
(1)
(2)
NH4+ + OCN- (+H2O) f CO2 + 2NH3
solved, differential rate expressions.16,17 Table 3 gives the
Arrhenius parameters for the pseudo-second-order eq 2 deter-
mined with cells constructed from two different materials. The
differences in the NH4OCN data can be attributed to error in
the assumed cell volume and/or, possibly, to a small contribution
from the difference in the materials of construction.
Ammonium Thiocyanate Spectra and Kinetics. Unlike
NH4OCN, the hydrothermolysis reaction of 1.00 m NH4SCN
could be followed directly in both the 316 SS-sapphire cell and
the Pt/Ir-diamond cell at a constant pressure of 275 bar as a
function of temperature and flow rate. This was possible
because NH4SCN reacted more slowly than NH4OCN. The
temperature range used for kinetics was 543-573 K, although
data were collected up to 593 K. Figure 1 shows spectra
selected from experiments with the Pt/Ir-diamond cell. Absor-
bances for the SCN- and NH4+ reactant ions are clearly apparent
at short residence times in which the reaction is at an early stage.
They diminish in intensity at longer residence times and are
replaced by the absorbance of aqueous CO2. Apart from the
appearance of a broad, weak absorbance centered at about 1100
cm-1 at the highest temperature used, no other products are
apparent. Although the exact origin of this latter absorbance
is unknown at this time, it appears in the intensely IR-active
S-O stretching region. This suggests that oxidation of the H2S
product occurs. The amount of oxidation is apparently small
because the intensity is relatively low. Extensive oxidation of
sulfur is known to occur when an S-H2O mixture is held at
638 K in the batch mode for longer times.25
Studies in which the concentrations of NH4+ and SCN- were
independently varied showed that the rate of hydrothermolysis
Results and Discussion
of NH4SCN was essentially first-order in NH4 and in SCN-
+
Ammonium Cyanate Data. The kinetics of hydrothermoly-
sis of NH4OCN have been determined by IR spectroscopy in
the same Pt/Ir-diamond and 316 SS-sapphire cells as were used
to investigate NH4SCN.16,17 It was not feasible, however, to
determine the hydrothermolysis kinetics of NH4OCN directly
by simply dissolving the salt in H2O, because it decomposed
rapidly in the temperature range of interest. Instead, the kinetics
(Table 2). Thus, the rate should be second-order in NH4SCN,
which is consistent with eq 3 and was validated by plotting
NH4+ + SCN- + 2H2O f CO2 + 2NH3 + H2S (3)
1/(C0 - [CO2]) vs the residence time as shown in Figure 2.
Because of the probable role of H2O in the reaction, these rates
(Table 1) are best described as pseudo-second-order. A plot of
the rate constants at 543-573 K yields the Arrhenius plot shown
in Figure 3 and Arrhenius parameters shown in Table 3. Also
shown in Figure 3 is the equivalent Arrhenius plot for NH4-
(19) Connors, K. A. Chemical Kinetics; VCH Publ. Inc.: New York, 1990.
(20) Cvetanovic, R. J.; Singleton, D. L. Int. J. Chem. Kinet. 1977, 9, 481.
(21) Geisler, K.; Nobst, E.; Mu¨ller, C.; Bulka, E. Z. Chem. 1982, 22, 113.
(22) Schmidt, M. W.; Baldridge, K. K.; Boarz, J. A.; Elbert, S. T.; Gordon,
M. S.; Jensen, J. H.; Koseki, S.; Matsunaga, N.; Nguyen, K. A.; Su,
S. J.; Windus, T. L.; Dupuis, M.; Montgomery, J. A. J. Comput. Chem.
1993, 14, 1347.
(25) Sorokin, V. I.; Orlov, R. Yu.; Dadze, T. P. Proceedings of the First
International Conference on SolVo-thermal Reactions; Shikoku Na-
tional Industrial Research Institute: Takamatsu, Japan, Dec. 1994;
paper S-5.
(23) Binkley, J. S.; Pople, J. A.; Hehre, W. J. J. Am. Chem. Soc. 1975, 97,
229.
(24) Pople, J. A.; Hehre, W. J. Int. J. Quantum Chem. Symp. 1976, 10, 1.