An electronic analogue of the saturated vapour pressure curve of water

1956 ◽  
Vol 33 (11) ◽  
pp. 436-438 ◽  
Author(s):  
R J Taylor
1981 ◽  
Vol 46 (10) ◽  
pp. 2446-2454
Author(s):  
Václav Svoboda ◽  
Zdeněk Wagner ◽  
Petr Voňka ◽  
Jiří Pick

A method of calculating the heat capacity difference of liquid and its vapour along saturated vapour pressure curve is discussed. The qualitative course of this difference in dependence on temperature obtained from the data on the temperature dependence of heat of vaporization of pure substances is judged.


At constant pressure, the vapour of a dissociating substance has an anomalously high heat capacity C g p . The anomalous part is always positive and may be many times the ‘normal’ value for an otherwise similar, inert vapour. The saturated vapour of the same substance, however, with a heat capacity C g sat may show either a smaller anomaly in the same sense, or be entirely free from any anomaly, or show an anomaly in the opposite sense to, and even larger than, that in C g p . The factors governing the occurrence, the size and the sign of this anomaly are the degree of dissociation, and the relative magnitudes of the enthalpies of dissociation and vaporization. Expressions are derived for the heat capacities of saturated vapours for the general dissociation ( Am ^ mA ) and the particularly common case of dimerization ( A 2 ^2 A ) and their application to real substances illustrated. The influence of gas imperfections is discussed. Except in the region of the critical point (where valid, explicit equations of state are not available) the existence of non-ideality modifies the conclusions only in degree. Like the heat capacity of saturated vapour, the latent heat of vaporization and its temperature coefficient also contain anomalous, reactive contributions. The influence of these anomalies on the form of the relationship between vapour pressure and temperature is examined. It is found that, despite the existence of such a mobile equilibrium, and even in the presence of an abnormally large heat capacity of saturated vapour, the saturation line (in the form of a graph of In P against T -1 ) may show no marked curvature. Conversely, linearity of a graph of In P against T -1 is no guarantee that reactions of dimerization or polymerization are absent from a vapour phase.


2016 ◽  
Author(s):  
Michael G. Bowler ◽  
David R. Bowler ◽  
Matthew W. Bowler

AbstractThe humidity surrounding a sample is an important variable in scientific experiments. Biological samples in particular require not just a humid atmosphere but often a relative humidity (RH) that is in equilibrium with a stabilizing solution required to maintain the sample in the same state during measurements. The controlled dehydration of macromolecular crystals can lead to significant increases in crystal order, which often leads to higher diffraction quality. Devices that can accurately control the humidity surrounding crystals on a beamline have led to this technique being increasingly adopted, as experiments become easier and more reproducible. Matching the relative humidity to the mother liquor is the first step to allow the stable mounting of a crystal. In previous work, we measured the equilibrium relative humidity for a range of concentrations of the most commonly used precipitants and showed how this related to Raoult’s law for the equilibrium vapour pressure of water above a solution. However, a discrepancy between measured values and those predicted by theory could not be explained. Here, we have used a more precise humidity control device to determine equilibrium relative humidity points. The new results are in agreement with Raoult’s law. We also present a simple argument in statistical mechanics demonstrating that the saturated vapour pressure of a solvent is proportional to its mole fraction in an ideal solution: Raoult’s Law. The same argument can be extended to the case where solvent and solute molecules are of different size, as is the case with polymers. The results provide a framework for the correct maintenance of the RH surrounding samples.SynopsisThe equilibrium relative humidity values for a number of the most commonly used precipitants in biological macromolecule crystallisation have been measured using a new humidity control device. A simple argument in statistical mechanics demonstrates that the saturated vapour pressure of a solvent is proportional to its mole fraction in an ideal solution (Raoult’s Law). The same argument can be extended to the case where solvent and solute molecules are of different size.


The rate of evaporation of a liquid may be calculated from the kinetic theory of gases if it be assumed that all vapour molecules which strike the surface enter the liquid and that, as a first approximation, the vapour behaves as a perfect gas. Under these circumstances, it follows from the kinetic theory of gases that m = mass of molecules leaving unit area per minute = mass of molecules striking unit area per minute from the saturated vapour = 14·63 P s /√T s gram/sq. cm. /min., where P s is the saturated vapour pressure in millimetres of mercury at the surface temperature T s ° A.


1992 ◽  
Vol 2 (3) ◽  
pp. 97-100 ◽  
Author(s):  
Valerii I. Severing ◽  
Alla V. Tseplayaeva ◽  
Nonna E. Khandamirova ◽  
Yurii A. Priselkov ◽  
Natalya A. Chernova ◽  
...  

1996 ◽  
Vol 46 (5) ◽  
pp. 1367-1373 ◽  
Author(s):  
N. B. Morozova ◽  
S. V. Sysoev ◽  
I. K. Igumenov ◽  
A. N. Golubenko

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