Journal of Chemical & Engineering Data, Vol. 53, No. 5, 2008 1195
∆Hf T
m - 1
(4)
1
ln
)
(
)
x1γ1 RTm
T
where ∆Hf refers to the enthalpy of fusion; Tm is the melting
temperature; R is the gas constant; and x1 and γ1 refer to the
mole fraction and activity coefficient of solute in the solution,
respectively. With the experimental x1, T, ∆Hf, and Tm values
known, the activity coefficients of DPPA in different solvents
were obtained. The results are listed in Table 3. From Table 3
it can be seen that the activity coefficients of DPPA in different
solvents are all more than unity. For the DPPA-water system,
very small solubilities and very large activity coefficients were
obtained, and this results in great deviations from the ideal
behavior.
Literature Cited
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1998.
Figure 5. Mole fraction solubility of DPPA in: (experimental) 9, acetic
acid; b, acetone; 2, ethyl acetate; (calculated from eq 2) - · -, acetic
acid; -, acetone; - - -, ethyl acetate.
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phenanthroline catalyzed carbonylation of nitrioarenes to diarylureas:
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promoters for the palladium-phenanthroline catalytic system based on
phosphorus acids. Angew. Chem., Int. Ed. 2003, 42, 2886–2889.
(5) Ragaini, F.; Gasperini, M.; Cenini, S. Phosphorus acids as highly
efficient promoters for the palladium-phenanthroline catalyzed car-
bonylation of nitrobenzene to methyl phenylcarbamate. AdV. Synth.
Catal. 2004, 346, 63–71.
(6) Gasperini, M.; Ragaini, F.; Cazzaniga, C.; et al. Carbonylation of
dinitrotoluene to dimethyl toluenedicarbamate; High efficiency of
phosphorus acids as promoters for the palladium-phenanthroline
catalytic system. AdV. Synth. Catal. 2005, 347, 105–120.
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guest assemblies involving interaction of cyclen with diphenylphos-
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Figure 6. Mole fraction solubility of DPPA in: (experimental) 9, benzene;
b, methylbenzene; 2, water; (calculated from eq 2) - · -, benzene; -,
methylbenzene; - - -, water.
Table 4. Parameters of Equation 3 and Root-Mean-Square
Deviations of the Measured Solubility Calculated from Equation 4
for Ethanol, Isopropyl Alcohol, and 2-Ethoxyethanol
solvent
ethanol
isopropyl alcohol
2-ethoxyethanol
acetic acid
ethyl acetate
acetone
benzene
methylbenzene
water
A
B
RSD
4.2261
4.8420
3.9303
5.3416
6.0228
9.6676
8.6762
5.8252
0.1434
-2665.7
-2974.8
-2610.5
-3170.1
-3995.9
-5056.6
-4684.5
-3956.6
-3009.5
0.024
0.024
0.028
0.019
0.033
0.020
0.021
0.032
0.031
(15) Prausnitz, J. M.; Lichtenthaler, R. N.; Gomes de Azevedo, E. Molecular
Thermodynamics of Fluid-Phase Equilibria, 2nd ed.; Prentice-Hall Inc.;
Englewood Cliffs, 1986.
To obtain the activity coefficients of DPPA in the solvents
from the experimental data, the following equilibrium equation
for solute 1 was derived as a fair approximation15
Received for review January 18, 2008. Accepted March 13, 2008.
JE800049B