scholarly journals Notizen:Mischungsenthalpien beim flüssigen System Wasser + Essigsäure / Heats of Mixing for the Liquid System Water + Acetic Acid

1972 ◽  
Vol 27 (10) ◽  
pp. 1527-1529 ◽  
Author(s):  
R. Haase ◽  
P. Steinmetz ◽  
K.-H. Dücker
Keyword(s):  
Acetic Acid ◽  
Power Series ◽  
Liquid System ◽  
Heat Of Mixing ◽  
Pure Liquid ◽  
Calorimetric Measurements ◽  
Heats Of Mixing ◽  
Free Parameters ◽  
C 30 ◽  
System Water

Calorimetric measurements of the heats of mixing for the liquid system water+acetic acid at 17 °C, 20 °C, 25 °C, 30 °C, 40 °C, and 50 °C show that there is a change of sign in the function H̅E(x), where H̅E denotes the molar heat of mixing and x the mole fraction of acetic acid. The process of mixing the pure liquid components is weakly exothermic for low acid concentrations, but strongly endothermic for high acid concentrations. The function H̅E can be approximately represented by the usual power series with respect to x, five free parameters at each temperature being necessary.

Thermodynamic Excess Functions for the Liquid System W ater + Acetic Acid from Calorimetric Data

1977 ◽  
Vol 32 (5) ◽  
pp. 507-510 ◽  
Author(s):  
R. Haase ◽  
M. Pehlke
Keyword(s):  
Acetic Acid ◽  
Composition Dependence ◽  
Liquid System ◽  
Pure Liquid ◽  
Excess Functions ◽  
Molar Excess ◽  
Molar Excess Volume ◽  
Thermodynamic Excess Functions ◽  
C 30 ◽  
System Water

Abstract For the liquid system water + acetic acid, we give the results of new calorimetric measurements regarding the molar excess enthalpy H̅E for 25 °C, 30 °C, 35 °C, 40 °C, 55 °C, and 70 °C, covering nearly the entire range of com­ positions. The experimental data show that H̅E is positive for all compositions and temperatures except in the region of low acid concentrations at temperatures below 55 °C where the process of mixing the pure liquid components is exothermic (H̅E<0). Using values of the molar excess Gibbs function G̅E (always positive) derived from earlier data on vapour-liquid equilibria, we compute the molar ex­cess entropy S̅E which is always negative. The “symmetryrule” concerning the composition dependence of G̅E (as compared to that of H̅E and S̅E) has again been confirmed. The composition dependence of S̅E is similar to that of the molar excess volume.

scholarly journals Verdampfungsgleichgewicht und thermodynamisehe Funktionen des flüssigen Systems Wasser + Essigsäure / Vapour-Liquid. Equilibrium and Thermodynamic Functions of the Liquid System Water + Acetic Acid

1973 ◽  
Vol 28 (10) ◽  
pp. 1740-1742 ◽  
Author(s):  
R. Haase ◽  
M. Pehlke ◽  
K.-H. Dücker
Keyword(s):  
Acetic Acid ◽  
Composition Dependence ◽  
Excess Enthalpy ◽  
Excess Entropy ◽  
Liquid System ◽  
Gibbs Function ◽  
Liquid Equilibrium ◽  
Molar Excess ◽  
C 30 ◽  
System Water

Vapour pressures and vapour compositions of the liquid system water + acetic acid have been measured at 25 °C, 30 °C, 35 °C, 40 °C, and 45 °C in the whole range of compositions. The dimerization of acetic acid in the vapour being taken into account, the molar excess Gibbs function ḠE is derived from the measurements. Earlier measurements of the molar excess enthalpy HE are combined with the -GE values to give the molar excess entropy SE. The “symmetry rule” (Haase, 1951) concerning the composition dependence of ḠE, -HE, and S̄E has been confirmed.

Enthalpies of Mixing for the Liquid System Formic Acid + Acetic Acid

1979 ◽  
Vol 34 (5) ◽  
pp. 659-660
Author(s):  
R. Haase ◽  
H.-J. Jansen ◽  
K. Puder ◽  
B. Winter
Keyword(s):  
Acetic Acid ◽  
Formic Acid ◽  
Mole Fraction ◽  
Excess Enthalpy ◽  
Liquid System ◽  
Short Description ◽  
Enthalpies Of Mixing ◽  
Calorimetric Measurements ◽  
C 30 ◽  
Increasing Temperature

Abstract After a short description of the evaluation of the calorimetric measurements, we give the results for the enthalpies of mixing in the liquid system formic acid + acetic acid. The molar excess enthalpy H̄E has been determined as a function of the mole fraction x of acetic acid at 18 °C, 20 °C, 25 °C, 30 °C, and 40 °C. The function H̄E (x) is always positive and nearly symmetric (with a maximum at about x = 0.5) and increases with increasing temperature. A three-parameter fit of the function H̄E (x) has been achieved for each temperature.

Zum thermodynamischen Verhalten des flüssigen Systems Wasser + Essigsäure / On the Thermodynamic Behaviour of the Liquid System Water + Acetic Acid

1974 ◽  
Vol 29 (9) ◽  
pp. 1383-1384
Author(s):  
R. Haase ◽  
M. H. Keller ◽  
K.-H. Dücker
Keyword(s):  
Acetic Acid ◽  
Excess Enthalpy ◽  
Excess Entropy ◽  
Liquid System ◽  
Heat Of Mixing ◽  
Gibbs Function ◽  
Molar Excess ◽  
Thermodynamic Behaviour ◽  
Experimental Values ◽  
System Water

Vapour pressures and vapour compositions of the liquid system water+acetic acid have been measured at 50 °C, 55 °C, 60 °C, 65 °C, 70 °C, and 75 °C in the whole range of compositions. The molar excess Gibbs function is derived from the measurements. At 50 °C, where experimental values of the molar excess enthalpy (molar heat of mixing) are available, the molar excess entropy is also given.

Conductivity of the Liquid System Water + Acetic Acid + Silver Acetate

1978 ◽  
Vol 33 (9) ◽  
pp. 1105-1106
Author(s):  
R. Haase ◽  
H. Ben Nasr ◽  
K .-H . Dücker
Keyword(s):  
Acetic Acid ◽  
Ternary System ◽  
Electric Conductivity ◽  
Infinite Dilution ◽  
Liquid System ◽  
Silver Acetate ◽  
Equivalent Conductivity ◽  
Experimental Values ◽  
Limiting Values ◽  
System Water

We present and discuss experimental values of the electric conductivity (and of the density) for the liquid ternary system water + acetic acid + silver acetate at 25 °C. The results given here represent a selection from measurements on more than 200 compositions. The concepts of equivalent conductivity and of limiting values for infinite dilution in the ternary system are also dealt with briefly.

Enthalpies of Mixing for Binary Liquid Mixtures of Acids

1983 ◽  
Vol 38 (12) ◽  
pp. 1400-1401 ◽  
Author(s):  
R. Haase ◽  
H.-J. Jansen ◽  
B. Winter
Keyword(s):  
Acetic Acid ◽  
Formic Acid ◽  
Propionic Acid ◽  
Entire Range ◽  
Excess Enthalpy ◽  
Liquid Mixtures ◽  
Binary Liquid ◽  
Calorimetric Measurements ◽  
Liquid Systems ◽  
C 30

Abstract For the binary liquid systems formic acid + acetic acid, formic acid + propionic acid, and acetic acid + propionic acid, we give the results of new calorimetric measurements of the molar excess enthalpy H̄E at 25 °C, 30 °C, 40 °C, and 60°C, covering the entire range of compositions. H̄E is always positive, increases linearly with the temperature, and is slightly asymmetric with respect to the mole fraction x. The composition at the maximum of the function H̄E(x) is independent of the temperature.

Heat of re-forming a coal liquefaction product from distillate fractions

1988 ◽  
Vol 66 (4) ◽  
pp. 794-797 ◽  
Author(s):  
Lee D. Hansen ◽  
Stanislaw L. Randzio ◽  
Laura Lewis ◽  
Edwin A. Lewis ◽  
Delbert J. Eatough
Keyword(s):  
Aromatic Compounds ◽  
Bond Formation ◽  
Coal Liquefaction ◽  
Heat Of Mixing ◽  
Hydrogen Bond Formation ◽  
Mixing Ratios ◽  
Calorimetric Measurements ◽  
Heats Of Mixing ◽  
Distillate Fractions ◽  
Resultant Mixture

Results of calorimetric measurements of the heat of mixing of distillates from distillation of an H-coal liquefaction product are reported. The measurements were made at 373 K with mixing ratios such that the resultant mixture was the same as before distillation. The heat of mixing, which was endothermic in all cases, was found not to be a result of hydrogen bond formation. Intermolecular interactions of aromatic compounds are the probable source of the heats of mixing observed.

Heat-of-mixing for the partially miscible system N2/C2H6

1988 ◽  
Vol 66 (4) ◽  
pp. 626-627 ◽  
Author(s):  
Jorge C. G. Calado ◽  
Prakash Gopal ◽  
John A. Zollweg ◽  
W. Reid Thompson
Keyword(s):  
Liquid System ◽  
Heat Of Mixing ◽  
Liquid Separation ◽  
Flow Calorimeter ◽  
Heats Of Mixing ◽  
Partially Miscible ◽  
Cryogenic Flow ◽  
Composition Curve

Heats-of-mixing for the liquid system nitrogen/ethane have been measured at 92.3 K and 0.6309 MPa using a cryogenic flow calorimeter. The heat-of-mixing versus composition curve shows that the system is only partially miscible; the compositions between which liquid–liquid separation occurs have been estimated.

Liquid−Liquid Equilibria of the Ternary System Water + Acetic Acid + 1-Heptanol

2000 ◽  
Vol 45 (2) ◽  
pp. 301-303 ◽  
Author(s):  
Adel S. Aljimaz ◽  
Mohamed S. H. Fandary ◽  
Jasem A. Alkandary ◽  
Mohamed A. Fahim
Keyword(s):  
Acetic Acid ◽  
Ternary System ◽  
System Water

scholarly journals ON MATRIX KP AND SUPER-KP HIERARCHIES IN THE HOMOGENEOUS GRADING

1996 ◽  
Vol 11 (18) ◽  
pp. 3257-3295 ◽  
Author(s):  
F. TOPPAN
Keyword(s):  
Power Series ◽  
Symmetric Spaces ◽  
Unexpected Result ◽  
Hermitian Symmetric Spaces ◽  
Regular Elements ◽  
Symmetry Properties ◽  
Alternating Sums ◽  
Spectral Parameter Power Series ◽  
Special Limit ◽  
Free Parameters

Constrained KP and super-KP hierarchies of integrable equations (generalized NLS hierarchies) are systematically produced through a Lie-algebraic AKS matrix framework associated with the homogeneous grading. The role played by different regular elements in defining the corresponding hierarchies is analyzed, as well as the symmetry properties under the Weyl group transformations. The coset structure of higher order Hamiltonian densities is proven. For a generic Lie algebra the hierarchies considered here are integrable and essentially dependent on continuous free parameters. The bosonic hierarchies studied in Refs. 1 and 2 are obtained as special limit restrictions on Hermitian symmetric spaces. In the supersymmetric case the homogeneous grading is introduced consistently by using alternating sums of bosons and fermions in the spectral parameter power series. The bosonic hierarchies obtained from [Formula: see text] and the supersymmetric ones derived from the N=1 affinization of sl (2), sl (3) and osp (1|2) are explicitly constructed. An unexpected result is found: only a restricted subclass of the sl (3) bosonic hierarchies can be supersymmetrically extended while preserving integrability.

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