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technique to determine the extent of reaction ver-
sus time. Shatynski and Hanesian [9] used adiabatic
calorimetry to collect rate data on the reaction. The
isothermal methods give data for only one temperature
per experiment. However, they allow for the examina-
tion of any other changes with extent of the reaction
such as acetic-acid formation. The adiabatic experi-
ments give data on rate versus a number of tempera-
tures in each experiment. However, any impact of other
effects is lumped together with the impact of temper-
ature. In this work, both isothermal experiments and
adiabatic experiments were conducted.
Adiabatic experiments were conducted in the
Fauske Vent Sizing Package (VSP2) reactor [15]
(Fauske and Associates LLC, Burr Ridge, IL, USA).
The VSP2 consists of a thin-walled reaction vessel (test
cell) of a nominal 0.12-L volume. The test cells used
for this work were 304 SS weighing about 38 g each.
The test cell is located inside a heavy-wall containment
vessel. High-pressure N2 is introduced into the contain-
ment vessel so that the pressure difference between the
test cell and the containment vessel is minimized to
avoid damage to the test cell from overpressurization.
This prevents the thin-walled test cell from bursting if
high pressure is developed during a reaction. A heater
outside the lower portion of the test cell is used to raise
the sample temperature during the test. A second guard
heater surrounds the test cell and keeps the surround-
ings at the same temperature as the test cell so that
adiabatic conditions are maintained during the test. A
magnetic stirrer is used to provide agitation during the
reaction.
In the adiabatic experiments, the acetic anhydride
and acetic acid were charged to the test cell. The test
cell was placed into the containment vessel and the
containment vessel was sealed. The test cell was then
brought to the desired starting temperature. Tubing
that passed through the containment vessel wall al-
lowed for the introduction of water to the test cell.
At the start of the experiment, the water was quickly
injected into the test cell and the valve in the tub-
ing was closed. An effort was made to heat the water
before injection but its temperature was lower than
the test cell temperature for the higher-temperature
experiments.
EXPERIMENTAL
Isothermal experiments were conducted in a Met-
tler RC-1 Reaction Calorimeter (Mettler-Toledo AG,
Schwerzenbach, Switzerland). The glass MP10 Met-
tler reactor with a nominal 1-L volume was used in
the experiments. The RC-1 comprises a controlled
jacketed reactor, an electrical immersion calibration
heater, an agitator, thermocouples, and a temperature-
controlled, positive displacement ISCO pump (Tele-
dyne Isco, Lincoln, NE, USA) used for the injection of
reactants. The stirrer was used and operated at 200 rpm.
A temperature-controlled heat-transfer oil is circulated
through the jacket of the reactor. The oil temperature
is controlled to maintain the desired temperature of the
sample in the reactor. The RC-1 constantly measures
the difference between the reactor sample temperature,
Tr, and the jacket temperature, Tj. The heat-transfer co-
efficient between the reactor contents and the jacket,
U, is determined by calibrations using an electrical im-
mersion heater. The heat capacity, Cp, of the reactor
contents is determined from a temperature ramp. The
calibrations and Cp determinations are done at the be-
ginning and end of each experiment. The heat transfer
surface, S, is determined from the reactor geometry
and the liquid level in the reactor. The heat-generation
rate at any time can then be calculated from
The acetic anhydride and glacial acetic acid used in
the tests was obtained from Sigma–Aldrich (St. Louis,
MO, USA). The acetic anhydride purity was stated to
be 99.5%. Water used in the tests was deionized.
RESULTS AND DISCUSSION
Isothermal Experiments
The RC-1 calorimeter was used for the isothermal ex-
periments. The RC-1 calculates the rate of heat release
from the reaction from Eq. (1). The reaction rate at
time t can then be calculated from
Qt = U × S × (Tr − Tj)
(1)
In the tests, the acetic anhydride and acetic acid
were charged to the reactor and brought to the de-
sired temperature after the standard calibrations were
done. Deionized water was placed in a temperature-
controlled ISCO pump. At the start of the reaction, the
total amount of water was quickly injected into the re-
actor by the ISCO pump. The reaction was then allowed
to proceed to completion while the data were collected.
After the reaction was complete, the final calibrations
to determine U and the final Cp were done.
Ratet = Qt/ꢀHrxn
(2)
The extent of the reaction at any time can be deter-
mined by comparing the heat released up to that time
to the total heat release for the reaction:
Xt = Ht/ꢀHrxn
(3)
International Journal of Chemical Kinetics DOI 10.1002/kin.20838