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An azeotrope is a mixture of two or more pure compounds (chemicals) in such a ratio that its composition cannot be changed by simple distillation. Distillation is a method of separating Mixtures based on differences in their volatilities in a boiling liquid mixture [1] This is because when an azeotrope is boiled, the resulting vapor has the same ratio of constituents as the original mixture of liquids. As the composition is unchanged by boiling, azeotropes are also known as constant boiling mixtures (especially in older texts). The word azeotrope is derived from the Greek words "ζειν"=boil and "τρόπος"=change, combining with prefix "α-"=no to give the overall meaning "no change on boiling".

Contents

Types of azeotropes

Each azeotrope has a characteristic boiling point. The boiling point of a liquid is the temperature at which the Vapor pressure of the liquid equals the environmental pressure surrounding the liquid The boiling point of an azeotrope is either less than the boiling points of any of its constituents (a positive azeotrope), or greater than the boiling point of any of its constituents (a negative azeotrope).

A well known example of a positive azeotrope is 95. 6% ethanol and 4. 4% water (by weight). Ethanol boils at 78. 4°C, water boils at 100°C, but the azeotrope boils at 78. 1°C, which is lower than either of its constituents. Indeed 78. 1°C is the minimum temperature at which any ethanol/water solution can boil. It is generally true that a positive azeotrope boils at a lower temperature than any other ratio of its constituents. Positive azeotropes are also called minimum boiling mixtures.

An example of a negative azeotrope is hydrochloric acid at a concentration of 20. Hydrochloric acid is the Solution of Hydrogen chloride ( H[[Chlorine Cl]] in water 2% hydrogen chloride and 79. 8% water (by weight). Hydrogen chloride boils at –84°C and water at 100°C, but the azeotrope boils at 110°C, which is higher than either of its constituents. Indeed 110°C is the maximum temperature at which any hydrochloric acid solution can boil. It is generally true that a negative azeotrope boils at a higher temperature than any other ratio of its constituents. Negative azeotropes are also called maximum boiling mixtures.

Azeotropes consisting of two constituents, such as the two examples above, are called binary azeotropes. Those consisting of three constituents are called ternary azeotropes. Azeotropes of more than three constituents are also known.

More than 18,000 azeotropic mixtures have been documented. [2]

Combinations of solvents that do not form an azeotrope when mixed in any proportion are said to be zeotropic. A zeotrope is a liquid mixture that obeys Raoult's law. It shows no maximum or minimum when vapour pressure is plotted against the composition at a constant temperature

When running a binary distillation it is often helpful to know the azaeotropic composition of the mixture.

Distillation of mixtures

If two solvents can form a positive azeotrope, then distillation of any mixture of those constituents will result in the distillate being closer in composition to the azeotrope than the starting mixture. For example, if a 50/50 mixture of ethanol and water is distilled once, the distillate will be 80% ethanol and 20% water (see ethanol data page), which is closer to the azeotropic mixture than the original. &lbrace&lbracechembox supplement&rbrace&rbrace and save the page -->This page provides supplementary chemical data on Ethanol Distilling the 80/20% mixture produces a distillate that is 87% ethanol and 13% water. Further repeated distillations will produce mixtures that are progressively closer to the azeotropic ratio of 95. 5/4. 5%. No number of distillations, however, will ever result in a distillate that exceeds the azeotropic ratio. Likewise when distilling a mixture of ethanol and water that is richer in ethanol than the azeotrope, the distillate (contrary to intuition) will be poorer in ethanol than the original but slightly richer than the azeotrope. [3]

If two solvents can form a negative azeotrope, then distillation of any mixture of those constituents will result in the residue being closer in composition to the azeotrope than the original mixture. For example, if a hydrochloric acid solution contains less than 20. Hydrochloric acid is the Solution of Hydrogen chloride ( H[[Chlorine Cl]] in water 2% hydrogen chloride, boiling the mixture will leave behind a solution that is richer in hydrogen chloride than the original. If the solution initially contains more than 20. 2% hydrogen chloride, then boiling will leave behind a solution that is poorer in hydrogen chloride than the original. Boiling of any hydrochloric acid solution long enough will cause the solution left behind to approach the azeotropic ratio. [4]

Phase diagrams

Phase diagram of a positive azeotrope. Vertical axis is temperature, horizontal axis is composition.
Phase diagram of a positive azeotrope. Vertical axis is temperature, horizontal axis is composition.

The boiling and recondensation of a mixture of two solvents are changes of state. Overview The chemical state of a chemical element is its electronic chemical and physical nature as it exists in combination with a group of one or more other elements As such, they are best illustrated with a phase diagram. In Physical chemistry, Mineralogy, and Materials science, a phase diagram is a type of graph used to show the equilibrium conditions If pressure is held constant, the two parameters that can vary are the temperature and the composition.

The diagram on the right shows a positive azeotrope of hypothetical constituents, X and Y. The bottom trace illustrates the boiling temperature at various compositions. Below the bottom trace, the mixture must be entirely liquid phase. The top trace illustrates the condensation temperature of various compositions. Above the top trace the mixture must be entirely vapor phase. Between the two traces, liquid and vapor phases exist simultaneously. The azeotrope is the point on the diagram where the two curves touch. The horizontal and vertical steps show the path of repeated distillations. Point A is the boiling point of a nonazeotropic mixture. The vapor is separated at the same temperature at point B. Since B is vapor only, it must occur at the top trace. The shape of the curves requires that the vapor at B be richer in constituent X than the liquid at point A. [1] The vapor is physically separated from the VLE (vapor-liquid equilibrium) system and is cooled to point C, where it condenses. It continues to be richer in X than it was at point A. If the collected liquid is boiled again, it progresses to point D, and so on. The stepwise progression shows how repeated distillation can never produce a distillate that is richer in constituent X than the azeotrope. Note that starting to the right of the azeotrope point results in the same stepwise process closing in on the azeotrope point from the other direction.

Phase diagram of a negative azeotrope.  Vertical axis is temperature, horizontal axis is composition.
Phase diagram of a negative azeotrope. Vertical axis is temperature, horizontal axis is composition.
Why there are two traces
Why do the boiling point trace and the condensation point trace separate in the phase diagrams of mixtures? The traces separate whenever the composition of the vapor differs from the composition of the liquid at the same temperature. Suppose the total composition were 50/50%. You could make this composition using 50% of 50/50% vapor and 50% of 50/50% liquid, but you could also make it from 83. 33% of 45/55% vapor and 16. 67% of 75%/25% liquid, as well as from many other combinations. The separation of the two traces represents the range of combinations of liquid and vapor that can make each total composition.

The diagram on the right shows a negative azeotrope of hypothetical constituents, X and Y. Again the bottom trace illustrates the boiling temperature at various compositions, and again, below the bottom trace the mixture must be entirely liquid phase. The top trace again illustrates the condensation temperature of various compositions, and again, above the top trace the mixture must be entirely vapor phase. The point, A, shown here is a boiling point with a composition chosen very near to the azeotrope. The vapor is collected at the same temperature at point B. That vapor is cooled, condensed, and collected at point C. Because this example is a negative azeotrope rather than a positive one, the distillate is farther from the azeotrope than the original liquid mixture at point A was. So the distillate is poorer in constituent, X, and richer in constituent, Y, than the original mixture. Because this process has removed a greater fraction of Y from the liquid than it had originally, the residue must be poorer in Y and richer in X after distillation than before.

If the point, A, had been chosen to the right of the azeotrope rather than to the left, the distillate at point C would be farther to the right than A, which is to say that the distillate would be richer in X and poorer in Y than the original mixture. So in this case too, the distillate moves away from the azeotrope and the residue moves toward it. This is characteristic of negative azeotropes. No amount of distillation, however, can make either the distillate or the residue arrive on the opposite side of the azeotrope from the original mixture. This is characteristic of all azeotropes.

Heteroazeotropes

Phase diagram of a heterozeotrope. Vertical axis is temperature, horizontal axis is composition. The dotted vertical line indicates the composition of the combined layers of the distillate whenever both layers are present in the original mixture.
Phase diagram of a heterozeotrope. Vertical axis is temperature, horizontal axis is composition. The dotted vertical line indicates the composition of the combined layers of the distillate whenever both layers are present in the original mixture.

In each of the examples discussed so far the constituents have been miscible in all proportions with each other. Miscibility is a term commonly used in Chemistry that refers to the property of Liquids to mix in all proportions forming a Homogeneous Solution For example, any amount of ethanol can be mixed with any amount of water to form a homogeneous solution. There are pairs of solvents for which this is not the case. For example if equal volumes of chloroform and water are shaken together and then left to stand, the liquid will separate into two layers. Chloroform, also known as trichloromethane and methyl trichloride, is a Chemical compound with formula C[[Hydrogen H]] Cl Analysis of the layers shows that the top layer is mostly water with a small amount of chloroform dissolved in it, and the bottom layer is mostly chloroform with a small amount of water dissolved in it. If the two layers are heated together, the system of layers will boil at 53. 3°C, which is lower than either the boiling point of chloroform (61. 2°C) or the boiling point of water (100°C). The vapor will consist of 97. 0% chloroform and 3. 0% water regardless of the how much of each liquid layer is present (provided both layers are indeed present). If the vapor is recondensed, the layers will reform in the condensate, and will do so in a fixed ratio, which in this case is 4. 4% of the volume in the top layer and 95. 6% in the bottom layer. [5] Such a system of solvents is known as a heteroazeotrope. A heteroazeotrope is an Azeotrope where the vapour phase coexists with two liquid phases The diagram illustrates how the various phases of a heteroazeotrope are related. [1][2]

Heteroazeotropes are always minimum boiling mixtures.

Deviation from Raoult's law

Raoult's law predicts the vapor pressures of ideal mixtures as a function of composition ratio. Established by François-Marie Raoult, Raoult's law states the Vapor pressure of an Ideal solution is dependent on the vapor pressure of each Established by François-Marie Raoult, Raoult's law states the Vapor pressure of an Ideal solution is dependent on the vapor pressure of each Vapor pressure (also known as equilibrium vapor pressure or saturation vapor pressure) is the Pressure of a Vapor in equilibrium In Chemistry, an ideal solution or ideal mixture is a Solution in which the Enthalpy of solution is zero the closer to zero the enthalpy of In general only mixtures of chemically similar solvents, such as n-hexane with n-heptane, form nearly ideal mixtures that come close to obeying Raoult's law. Hexane is an Alkane Hydrocarbon with the Chemical formula CH3(CH24CH3 or C6H14 n -Heptane is the straight-chain Alkane with the Chemical formula H3C(CH25CH3 or C7H16 Solvent combinations that can form azeotropes are always nonideal, and as such they deviate from Raoult's law.

Total vapor pressure of mixtures as a function of composition at a chosen constant temperature.
Total vapor pressure of mixtures as a function of composition at a chosen constant temperature.

The diagram on the right illustrates total vapor pressure of three hypothetical mixtures of constituents, X, and Y. The temperature throughout the plot is assumed to be constant.

The center trace is a straight line, which is what Raoult's law predicts for an ideal mixture. The top trace illustrates a nonideal mixture that has a positive deviation from Raoult's law, where the total combined vapor pressure of constituents, X and Y, is greater than what is predicted by Raoult's law. The top trace deviates sufficiently that there is a point on the curve where its tangent is horizontal. For the tangent function see Trigonometric functions. For other uses see Tangent (disambiguation. Whenever a mixture has a positive deviation and has a point at which the tangent is horizontal, the composition at that point is a positive azeotrope. [6] At that point the total vapor pressure is at a maximum. Likewise the bottom trace illustrates a nonideal mixture that has a negative deviation from Raoult's law, and at the composition where tangent to the trace is horizontal there is a negative azeotrope. This is also the point where total vapor pressure is minimum. [6]

Temperature-pressure dependence

For both the top and bottom traces, the temperature point of the azeotrope is the constant temperature chosen for the graph. If the ambient pressure is controlled to be equal to the total vapor pressure at the azeotropic mixture, then the mixture will boil at this fixed temperature.

Vapor pressure of both pure liquids as well as mixtures is a sensitive function of temperature. As a rule, vapor pressure of a liquid increases nearly exponentially as a function of temperature. If the graph were replotted for a different fixed temperature, then the total vapor pressure at the azeotropic composition will certainly change, but it is also possible that the composition at which the azeotrope occurs will change also. This implies that the composition of an azeotrope is affected by the pressure chosen at which to boil the mixture. Ordinarily distillation is done at atmospheric pressure, but with proper equipment it is possible to carry out distillation at a wide variety of pressures, both above and below atmospheric pressure.

Separation of azeotrope constituents

Distillation is one of the primary tools that chemical engineers use to separate mixtures into their constituents. Because distillation cannot separate the constituents of an azeotrope, the separation of azeotropic mixtures (also called azeotrope breaking) is a topic of considerable interest. [2] Indeed this difficulty led some early investigators to believe that azeotropes were actually compounds of their constituents. [1] But there are two reasons for believing that this is not the case. One is that the molar ratio of the constituents of an azeotrope is not generally the ratio of small integers. The mole (symbol mol) is a unit of Amount of substance: it is an SI base unit, and almost the only unit to be used to measure this For example, the azeotrope formed by water and acetonitrile contains 2. Acetonitrile (ACN is the Chemical compound with formula CH3CN 253 moles of acetonitrile for each mole of water. [7] A more compelling reason for believing that azeotropes are not compounds is, as discussed in the last section, that the composition of an azeotrope can be affected by pressure. Contrast that with a true compound, carbon dioxide for example, which is two moles of oxygen for each mole of carbon no matter what pressure the gas is observed at. That azeotropic composition can be affected by pressure suggests a means by which such a mixture can be separated.

Pressure swing distillation

Azeotrope composition shift due to pressure swing.
Azeotrope composition shift due to pressure swing.

A hypothetical azeotrope of constituents X and Y is shown in the diagram to the right. Two plots are shown, one at low pressure and one at high pressure. The composition of the azeotrope is substantially different between the high and low pressure plots. The goal is to separate Y in as high a concentration as possible starting from point, A. At the low pressure, it is possible by progressive distillation to reach a distillate at the point, B, which is on the same side of the azeotrope as A. If that distillate is exposed to the high pressure, it boils at point, C. From C, by progressive distillation it is possible to reach a distillate at the point, D, which is on the same side of the high pressure azeotrope as C. If that distillate is then exposed again to the low pressure, it boils at point, E, which is on the opposite side of the low pressure azeotrope as A. So by means of the pressure swings it was possible to cross over the low pressure azeotrope.

When the solution is boiled at point, E, the distillate is poorer in Y than point E. This means that the residue is made richer in Y than point E. Indeed progressive distillations can result in a residue that is as rich in Y as you like.

A mixture of 5% water with 95% tetrahydrofuran is an example of an azeotrope that can be economically separated using a pressure swing — a swing in this case between 1 atm and 8 atm. "THF" redirects here For other uses see THF (disambiguation. The Standard atmosphere is an international reference pressure defined as 101325 Pa and formerly used as unit of Pressure (symbol atm The Standard atmosphere is an international reference pressure defined as 101325 Pa and formerly used as unit of Pressure (symbol atm By contrast the composition of the water/ethanol azeotrope discussed earlier is not affected enough by pressure to be easily separated using pressure swings. [2]

Azeotropic distillation

Other methods of separation involve introducing an additional agent, called an entrainer, that will affect the volatility of one of the azeotrope constituents more than another. In Chemistry, azeotropic distillation is any of a range of techniques used to break an Azeotrope in Distillation. Volatility in the context of Chemistry, Physics and Thermodynamics is a measure of the tendency of a substance to Vaporize. When an entrainer is added to a binary azeotrope to form a ternary azeotrope, and the resulting mixture distilled, the method is called azeotropic distillation. The best known example is adding benzene or cyclohexane to the water/ethanol azeotrope. Benzene, or benzol, is an organic Chemical compound and a known Carcinogen with the molecular formula C 6 H 6 Cyclohexane is a Cycloalkane with the Molecular formula C 6 H 12 With cyclohexane as the entrainer, the ternary azeotrope is 7% water, 17% ethanol, and 76% cyclohexane, and boils at 62. 1°C. [8] Just enough cyclohexane is added to the water/ethanol azeotrope to engage all of the water into the ternary azeotrope. When the mixture is then boiled, the azeotrope vaporizes leaving a residue composed almost entirely of the excess ethanol. [2]

Chemical action separation

Another type of entrainer is one that has a strong chemical affinity for one of the constituents. Using again the example of the water/ethanol azeotrope, the liquid can be shaken with calcium oxide, which reacts strongly with water to form the nonvolatile compound, calcium hydroxide. Calcium oxide ( CaO) commonly known as burnt lime, lime or quicklime, is a widely used Chemical compound. Calcium hydroxide, traditionally called slaked lime, hydrated lime, or pickling lime, is a Chemical compound with the chemical formula Nearly all of the calcium hydroxide can be separated by filtration and the filtrate redistilled to obtain nearly pure ethanol. Filtration is a mechanical or physical operation which is used for the separation of solids from fluids (liquids or gases by interposing a medium to fluid flow through which the fluid In Chemistry and common usage a filter is a device (usually a membrane or layer that is designed

A more extreme example is the azeotrope of 1. 2% water with 98. 8% diethyl ether. Diethyl ether, also known as ether and ethoxyethane, is a clear colorless and highly Flammable liquid with a low Boiling point and a Ether holds the last bit of water so tenaciously that only a very powerful desiccant such as sodium metal added to the liquid phase can result in completely dry ether. A Desiccant is a Hygroscopic substance that induces or sustains a state of dryness ( Desiccation) in its local vicinity in a moderately-well sealed container Sodium (ˈsoʊdiəm is an element which has the symbol Na( Latin natrium, from Arabic natrun) atomic number 11 atomic mass 22 [9]

Anhydrous calcium chloride is used as a desiccant for drying a wide variety of solvents since it is inexpensive and does not react with most nonaqueous solvents. As a general term a substance is said to be anhydrous if it contains no Water. Calcium chloride (CaCl2 is an ionic compound of Calcium and Chlorine. Chloroform is an example of a solvent that can be effectively dried using calcium chloride. Chloroform, also known as trichloromethane and methyl trichloride, is a Chemical compound with formula C[[Hydrogen H]] Cl [9]

Distillation using a dissolved salt

When a salt is dissolved in a solvent, it always has the effect of raising the boiling point of that solvent — that is it decreases the volatility of the solvent. Salt-effect distillation is a method of Extractive distillation in which a Salt is Dissolved in the mixture of liquids to be distilled Salt is a Dietary mineral composed primarily of Sodium chloride that is essential for Animal life but toxic to most land plants Volatility in the context of Chemistry, Physics and Thermodynamics is a measure of the tendency of a substance to Vaporize. When the salt is readily soluble in one constituent of a mixture but not in another, the volatility of the constituent in which it is soluble is decreased and the other constituent is unaffected. In this way, for example, it is possible to break the water/ethanol azeotrope by dissolving potassium acetate in it and distilling the result. Potassium acetate ( C[[Hydrogen H3]] C[[Oxygen O]] O[[Potassium K]] is a Chemical compound. [2]

Extractive distillation

Extractive distillation is similar to azeotropic distillation, except in this case the entrainer is less volatile than any of the azeotrope's constituents. Extractive distillation is defined as Distillation in the presence of a Miscible, high boiling relatively Non-volatile component the Solvent For example, the azeotrope of 20% acetone with 80% chloroform can be broken by adding water and distilling the result. Acetone (also known as propanone, dimethyl ketone, 2-propanone, propan-2-one and β-ketopropane) is a colorless mobile flammable Chloroform, also known as trichloromethane and methyl trichloride, is a Chemical compound with formula C[[Hydrogen H]] Cl The water forms a separate layer in which the acetone preferentially dissolves. The result is that the distillate is richer in chloroform than the original azeotrope. [2]

Pervaporation and other membrane methods

The pervaporation method uses a membrane that is more permeable to the one constituent than to the another to separate the constituents of an azeotrope as it passes from liquid to vapor phase. Pervaporation is a method for the Separation of mixtures of liquids by partial Vaporization through a non-porous or porous membrane. The membrane is rigged to lie between the liquid and vapor phases. Another membrane method is vapor permeation, where the constituents pass through the membrane entirely in the vapor phase. In all membrane methods, the membrane separates the fluid passing through it into a permeate (that which passes through) and a retentate (that which is left behind). Permeation, in Physics and Engineering, is the penetration of a permeate (such as a Liquid, Gas, or Vapor) through a solid and is When the membrane is chosen so that is it more permeable to one constituent than another, then the permeate will be richer in that first constituent than the retentate. [2]

Use of azeotropes to separate zeotropic mixtures

Sometimes azeotropes are useful in separating zeotropic mixtures. An example is acetic acid and water, which do not form an azeotrope. Acetic acid, also known as ethanoic acid, is an organic chemical compound, giving Vinegar its sour taste Despite this it is very difficult to separate pure acetic acid (boiling point: 118. 1°C) from a solution of acetic acid and water by distillation alone. As progressive distillations produce solutions with less and less water, each further distillation becomes less effective at removing the remaining water. Distilling the solution to dry acetic acid is therefore economically impractical. But ethyl acetate forms an azeotrope with water that boils at 70. Ethyl acetate ( systematically, ethyl ethanoate commonly abbreviated EtOAc or EA is the Organic compound with the formula CH3COOCH2CH3 4°C. By adding ethyl acetate as an entrainer, it is possible to distill away the azeotrope and leave nearly pure acetic acid as the residue. [2]

Why azeotropes exist

As already discussed, azeotropes can only form when a mixture deviates from Raoult's law. Raoult's law applies when the molecules of the constituents stick to each other to the same degree as they do to themselves. For example, if the constituents are X and Y, then X sticks to Y with roughly equal energy as X does with X and Y does with Y. A positive deviation from Raoult's law results when the constituents have a disaffinity for each other — that is X sticks to X and Y to Y better than X sticks to Y. Because this results in the mixture having less total sticking together of the molecules than the pure constituents, they more readily escape from the stuck-together phase, which is to say the liquid phase, and into the vapor phase. When X sticks to Y more aggressively than X does to X and Y does to Y, the result is a negative deviation from Raoult's law. In this case because there is more sticking together of the molecules in the mixture than in the pure constituents, they are more reluctant to escape the stuck-together liquid phase. [1]

When the deviation is great enough to cause a maximum or minimum in the vapor pressure versus composition function, it is a mathematical consequence that at that point, the vapor will have the same composition as the liquid, and so an azeotrope is the result.

Complex azeotrope systems

Saddle azeotropic system Methanol/Acetone/Chloroform  calculated with mod. UNIFAC
Saddle azeotropic system Methanol/Acetone/Chloroform calculated with mod. UNIFAC

The rules for positive and negative azeotropes apply to all the examples discussed so far. The UNI versal F unctional A ctivity C oefficient (UNIFAC method is a semi-empirical system for the prediction of non-electrolyte But there are some examples that don't fit into the categories of positive or negative azeotropes. The best known of these is the ternary azeotrope formed by 30% acetone, 47% chloroform, and 23% methanol, which boils at 57. Acetone (also known as propanone, dimethyl ketone, 2-propanone, propan-2-one and β-ketopropane) is a colorless mobile flammable Chloroform, also known as trichloromethane and methyl trichloride, is a Chemical compound with formula C[[Hydrogen H]] Cl Methanol, also known as methyl alcohol, carbinol, wood alcohol, wood naphtha or wood spirits, is a Chemical compound 5°C. Each pair of these constituents forms a binary azeotrope, but chloroform/methanol and acetone/methanol both form positive azeotropes while chloroform/acetone forms a negative azeotrope. The resulting ternary azeotrope is neither positive nor negative. Its boiling point falls between the boiling points of acetone and chloroform, so it is neither a maximum nor a minimum boiling point. This type of system is called a saddle azeotrope. [2] Only systems of three or more constituents can form saddle azeotropes.

A rare type of complex binary azeotrope is one where the boiling point and condensation point curves touch at two points in the phase diagram. Such a system is called a double azeotrope, and will have two azeotropic compositions and boiling points. An example is water and N-methylethylenediamine. [10]

Examples of azeotropes

Proportions are by weight.

See azeotrope (data) for tables of many more azeotropes. This page contains Azeotrope data for various binary and ternary mixtures of solvents

See also

External links

References

  1. ^ a b c d e Moore, Walter J. Physical Chemistry, 3rd ed. , Prentice-Hall 1962, pp140-142
  2. ^ a b c d e f g h i j Hilmen, Eva-Katrine (November 2000). Separation of Azeotropic Mixtures: Tools for Anaylsis and Studies on Batch Distillation Operation. Norwegian University of Science and Technology, dept. of Chemical Engineering. Retrieved on 24 March 2007.
  3. ^ Morrison, Robert Thornton; Boyd, Robert Neilson, Organic Chemistry, 2nd ed. , Allyn and Bacon, 1972, p 508
  4. ^ Merck Index of Chemicals and Drugs, 9th ed. , monograph 4667
  5. ^ CRC Handbook of Chemistry and Physics, 44th ed. , p2156.
  6. ^ a b Jim Clark. Nonideal Mixtures of Liquids. Chemguide. co. uk. Retrieved on 2008-03-05. 2008 ( MMVIII) is the current year in accordance with the Gregorian calendar, a Leap year that started on Tuesday of the Common Events 363 - Roman Emperor Julian moves from Antioch with an army of 90000 to attack the Sassanid Empire, in a
  7. ^ Ponton, Jack (September 2001). Azeotrope Databank (Queriable database). The Edinburgh Collection of Open Software for Simulation and Education, Edinburgh University. Retrieved on 14 April 2007.
  8. ^ CRC Handbook of Chemistry and Physics, 44th ed. , p2181
  9. ^ a b Cohen, Julius B. Practical Organic Chemistry MacMillan 1930
  10. ^ Olson, John D. . Thermodynamics of Hydrogen Bonding Mixtures 4.. Retrieved on 27 January 2008.


Dictionary

azeotrope

-noun

  1. (physical chemistry, physics) A mixture of two or more substances whose liquid and gaseous forms have the same composition (at a certain pressure); the substances cannot be separated by normal distillation.
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