Curve solubility

The third type of system gives a closed solubility curve and therefore possesses both an upper and lower critical solution temperature. The first case of this type to be established was that of nicotine and water the solubility curve is illustrated in Fig. I, 8, 3. The lower and upper consolute temperatures are 60 8° and 208° respectively below the former and above the latter the two liquids are completely miscible. 

It should be noted that the modern view is that all partially miscible liquids should have both a lower and upper critical solution temperature so that all such systems really belong to one class. A closed solubility curve is not obtain in all cases because the physical conditions under normal pressure prevent this. Thus with liquids possessing a lower C.S.T., the critical temperature (the critical point for the liquid vapour system for each component, the maximum temperature at which liquefaction is possible) may be reached before the consolute temperature. Similarly for liquids with an upper C.S.T., one or both of the liquids may freeze before the lower C.S.T. is attained. 

If the system represented by the point D be heated, the solid A will disappear and two partially miscible liquids will remain. The curve ETD is the ordinary solubility curve for two partially miscible liquids (compare Section 1,8, Fig. I, 8, 1). As the temperature rises, the mutual... 

Equation 8.7 explains the solubility curve for AgCl shown in Figure 8.1. As Ch is added to a solution of Ag+, the solubility of AgCl initially decreases because of reaction 8.1. Note that under these conditions, the final three terms in equation 8.7 are small, and that equation 8.1 is sufficient to describe the solubility of AgCl. Increasing the concentration of chloride, however, leads to an increase in the solubility of AgCl due to the soluble chloro-complexes formed in reactions 8.3-8.5. ... 

Isoxazole dissolves in approximately six volumes of water at ordinary temperature and gives an azeotropic mixture, b.p. 88.5 °C. From surface tension and density measurements of isoxazole and its methyl derivatives, isoxazoles with an unsubstituted 3-position behave differently from their isomers. The solubility curves in water for the same compounds also show characteristic differences in connection with the presence of a substituent in the 3-position (62HC(17)1, p. 178). These results have been interpreted in terms of an enhanced capacity for intermolecular association with 3-unsubstituted isoxazoles as represented by (9). Cryoscopic measurements in benzene support this hypothesis and establish the following order for the associative capacity of isoxazoles isoxazole, 5-Me, 4-Me, 4,5-(Me)2 3-Me> 3,4-(Me)2 3,5-(Me)2 and 3,4,5-(Me)3 isoxazole are practically devoid of associative capacity. 

For the system water-acetic acid-MIBK in Fig. 15-11 the raffinate (water) layer is the solubility curve with low concentrations of MIBK, and the extract (MIBK) layer is the solubihty curve with high concentrations of MIBK. The dashed lines are tie lines which connect the two layers in equihbrium as given in Table 15-1. Example 2 describes the right-triangular method of calculating the number of theoretical stages required. 

The sequence just outlined provides a salutary lesson in the nature of explanation in materials science. At first the process was a pure mystery. Then the relationship to the shape of the solid-solubility curve was uncovered that was a partial explanation. Next it was found that the microstructural process that leads to age-hardening involves a succession of intermediate phases, none of them in equilibrium (a very common situation in materials science as we now know). An understanding of how these intermediate phases interact with dislocations was a further stage in explanation. Then came an nnderstanding of the shape of the GP zones (planar in some alloys, globniar in others). Next, the kinetics of the hardening needed to be... 

The shape of the equilibrium line, or solubility curve, is important in determining the mode of crystallization to be employed in order to crystallize a particular substance. If the curve is steep, i.e. the substance exhibits a strong temperature dependence of solubility (e.g. many salts and organic substances), then a cooling crystallization might be suitable. But if the metastable zone is wide (e.g. sucrose solutions), addition of seed crystal might be necessary. This can be desirable, particularly if a uniformly sized product is required. If on the other hand, the equilibrium line is relatively flat (e.g. for aqueous common salt... 

Given the following solubility curves, answer the following questions ... 

Eutectic composition It has a minimum melting temperature when two or more liquid solubility curves interact. 

It is evident that, although A may be deduced from a know ledge of the solubility curve ... 

Le Chatelier (1888) has discussed the general form of the solubility curve in the light of equation (5). If dA/dT is negative (which is usually the case) the curve begins asymptotically to the T axis, and is convex to it. It then passes through a point of inflexion, and is concave up to the maximum where A = 0, df/dT = 0. If A then becomes negative, the solubility... 

The equation shows that the solubility curve must be continuous all breaks indicate that the solid phase in contact with the saturated solution has altered in character, and we really have to do with two distinct solubility curves meeting at an angle. This occurs, for example, with Glauber s salt at 32° 6, for this is the transition temperature for the reaction... 

The curve below 32° 6 is the solubility curve of Na2S04.10H20 that above 32° 6 is the solubility curve of Na2S04. The idea that such breaks correspond with changes of hydration in the solution is quite unfounded, because all the properties of the homogeneous solution pass continuously through the transition temperature. 

Case I. At sufficiently low pressures, the solubility curve does not intersect the coexistence curve. In this case, the gas solubility is too low for liquid-liquid immiscibility, since the coexistence curve describes only liquid-phase behavior. Stated in another way, the points on the coexistence curve are not allowed because the fugacity f2L on this curve exceeds the prescribed vapor-phase value f2v. The ternary phase diagram therefore consists of only the solubility curve, as shown in Fig. 28a where V stands for vapor phase. 

Case II. Raising the pressure increases the solubility of the gas such that the solubility curve intersects a part of the coexistence curve. The stability criteria do not allow the existence of a single phase inside the coexistence curve therefore, a liquid-liquid region and a vapor-liquid-liquid region are formed, as illustrated in Fig. 28b. 

Case III. As the pressure increases still further, the solubility curve intersects larger liquid-liquid regions until the critical solution pressure of the system has been reached. Above this critical pressure, no vapor phase exists, and the phase diagram consists of only the coexistence curve, as shown in Fig. 28c. In Fig. 28, L, and L2 stand for the two liquid phases and F stands for a fluid phase. 

Figure 1.142. The computed result of the relationship between dissolved silica (H4Si04) concentration of mixed fluid and temperature based on four reservoirs model (Shikazono et al, 2002). Open triangle solubility curve for quartz, Open square solubility curve for a-cristabalite, Solid triangle Hishikari Lower Andesite lava (drilling core), Cross Relatively fresh Hishikari Lower Andesite lava (drilling core). H.S. hydrothermal solution G.W. ground water.

Solubility is dependent upon temperature. Generally, solvents at lower temperatures cannot dissolve as much solute as solvents at higher temperatures. In this activity, you will determine the solubility of a salt at different temperatures and will plot a solubility curve for the solute. 

Why must a saturated solution be obtained in order to make a solubility curve ... 

Plot a graph of the mass of salt dissolved versus temperature. Draw a best-fit smooth curve through the data points. With the help of your teacher, obtain solubility data from the other groups in your class for the remaining three salts. Graph this data on your graph to obtain a family of solubility curves. 

Two situations are found in leaching. In the first, the solvent available is more than sufficient to solubilize all the solute, and, at equilibrium, all the solute is in solution. There are, then, two phases, the solid and the solution. The number of components is 3, and F = 3. The variables are temperature, pressure, and concentration of the solution. All are independently variable. In the second case, the solvent available is insufficient to solubilize all the solute, and the excess solute remains as a solid phase at equilibrium. Then the number of phases is 3, and F = 2. The variables are pressure, temperature and concentration of the saturated solution. If the pressure is fixed, the concentration depends on the temperature. This relationship is the ordinary solubility curve. 

As far as crystallization is concerned, there are two components, solvent and solute, and F = C = 2. The solid phase is pure, and variables are concentrations, temperature, and pressure. Fixing one, the pressure, leaves either concentration or temperature as an independent variable. The relationship between temperature and concentration is the usual solubility curve. 

Heparin may also be subfractionated on a preparative scale, by precipitation of its sodium or barium salt with ethanol. Whereas sodium salts afford a continuum of species essentially differing in molecular weight,210 the solubility curves of barium salts show discrete steps, indi-... 

Frequently, however, the solubility curve has a maximum (as shown by circles in Fig. 2, when plotted as both a function of C2 and [10]. In either case it is possible to optimize solubility by selection of a solvent system with a given value of s that is, once the curve has been established, the optimum water/solvent ratio for another solvent can be calculated from known dielectric constant relationships [11],... 

Second, x-ray diffraction will, directly, give spacings in the crystal and reveal differences between samples. Finally, solubility curves can be carried out, and if a nick in the solubility curve is found (Fig. 9), this is a transition temperature. If no nick is found, there is no transition temperature, but if the dissolution curves are as shown in Fig. 5, there is polymorphism, and it may... 

Figure 6.3a shows the plot of log S versus pH of an ampholyte (ciprofloxacin, pKa values 8.62 and 6.16, log So — 3.72 [pION]). In Figs. 6.1b, 6.2b, and 6.3b are the log-log speciation profiles, analogous to those shown in Figs. 4.2b, 4.3b, and 4.4b. Note the discontinuities shown for the solubility speciation curves. These are the transition points between a solution containing some precipitate and a solution where the sample is completely dissolved. These log-log solubility curves are important components of the absorption model described in Section 2.1 and illustrated in Fig. 2.2. 

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