THE THERMODYNAMIC PROPERTIES AND THERMOLYSIS CHARACTERISTICS
43
favorable factor. Crystalline substances were prepared The calculations were performed with corrections for
by grinding in a chalcedony mortar, sifted through a the combustion of the Terylene ampule (qTer) and cotton
sieve, and then encapsulated in Terylene disks. A disk
was placed on a platinum net with a gauze strip for
simultaneously igniting the whole sample. Finely
divided powder particles managed to burn in the bomb
volume before they could reach the cold walls of the
bomb.
gauze with a thread (qgauze), the formation of a solution
of nitric acid in the bomb (qHNO ) , partial solution of
3
boric acid (qH BO ) , the combustion of free boron to
3
3
boric acid (qB), and the combustion of carbon (graphite)
to carbon dioxide (qC). The Washburn correction (∆Uw)
was also introduced. We used the following heats of
combustion (J/g) under bomb conditions: 22944.2 for
the combustion of Terylene [10], 16704.2 for cotton
gauze and thread [11], 61379 for boron (to ç3Çé3 (cr))
[7], and 32763 for carbon (to ëé2 (g)). The heats of
formation of nitric acid and a saturated solution of boric
acid were taken to be 59 kJ/mol [12] and –21836 J/mol
[13], respectively. The Washburn corrections (5.0 and
3.9 J/g for I and II, respectively) were calculated
according to [12, 14]. The amounts of carbon dioxide
formed in the combustion of Terylene (1 g) and cotton
thread (1 g) were taken to be 2.2872 and 1.6284 g,
respectively.
The enthalpies of combustion of the peroxides were
measured on a V-06 M calorimeter equipped with an
isothermic ( 0.003 K) shell. The energy equivalent of
the calorimetric system (W) was determined by mea-
suring the enthalpy of combustion of reference benzoic
acid, K-1 brand (the content of the major component
was 99.995 mol %, and the heat of combustion was
−26426.9 J/g taking into account the Jessup factor). For
this purpose, a series of eight experiments were per-
formed, which gave W = 14835 13 J/V. The initial
oxygen pressure purified from combustible impurities,
carbon dioxide, and water was 2.94 × 106 Pa. The initial
temperature of the main period was 298.15 K in all
experiments, and the duration of the main period was
35 min. In 35 min, boron oxide hydration and boric acid
solution were complete. This followed from the coinci-
dence of temperature changes during the final periods
of carborane and benzoic acid combustion.
RESULTS AND DISCUSSION
The results obtained in determining the energies of
combustion ∆U of I and II are listed in Table 1. In this
table, m is the sample weight, ∆T is the true temperature
rise during measurements, QΣ is the total amount of
energy released, and B and C are the completeness of
combustion for boron and carbon, respectively (the
other denotations were specified above).
An analysis of the results showed that the energy of
combustion was related to combustion completeness.
We explain this by the presence of boron carbide in
combustion products; the amount of this substance is
virtually impossible to determine. The neglect of cor-
rections for the formation of boron carbide automati-
cally leads to exaggerated corrections for the formation
of free boron and carbon and, as a consequence, exag-
gerated energies of combustion. The approximation of
the dependence of the energy of combustion of the sub-
stances on the incompleteness of their combustion with
respect to carbon (100 – C) by the straight line equation
∆U° = a + b(100 – C) gives satisfactory results (the cor-
relation coefficient ρ is 99.16 and 97.25% for I and II,
respectively). The a value in the equation is the energy
of combustion of the substance by 100% with respect to
Each combustion experiment was followed by a
quantitative analysis of the products for carbon dioxide
and boric and nitric acids. Nitric acid was formed
because of the presence of some amount of nitrogen in
the oxygen that we used. The amount of carbon dioxide
produced was determined by the Rossini method [9] to
within 1 × 10–4 g. The reliability of gas analyses was
substantiated in a series of experiments with the com-
bustion of standard benzoic acid. The content of carbon
monoxide was controlled in separate experiments using
indicator tubes to within 1 × 10–6 g. The content of
nitric acid was determined by potentiometric titration,
and the content of boric acid, by titration with alkali in
the presence of mannitol.
The liquid decomposition products were determined
chromatographically using an LKhM-72 chromato-
graph with a flame ionization detector and Chromaton
N-AW-DMCS (15%) deposited on Apieson-L + 5%
PEG-2000 as a stationary phase. The column was 3 m
long and 2 mm in diameter, the temperature of the col-
umn was 80°ë, the temperature of the vaporizer was
150°C, and the carrier gas was helium. Gaseous decom-
position products were analyzed on an LKhM-72 chro-
matograph. The column 3 m long and 4 mm in diameter
was packed with triethylene glycol butyrate (20 wt %)
and ethylene glycol (3 wt %) on chromaton-N.
°
carbon, ∆U100 . The coefficients of the straight line
equations were determined by the method of least
squares (Table 1). The standard deviations of the energy
of combustion from the straight-line dependences were
calculated with the Student test value for a 0.05 signif-
icance level. Good agreement between the earlier data
on o- and m-carboranes obtained using straight line
equations [8] and the procedure described in [7] is evi-
dence of the acceptability of this approach. This allows
us to use the results of experiments with relatively low
combustion completeness.
The energy of combustion of the substances (J/g)
was calculated by the equation
–∆U° = (QΣ – qTer – qgauze – qHNO
3
(2)
+ qH BO + qB + qC – ∆Uw )/m.
3
3
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY Vol. 80 No. 1 2006