what happens when additional solute is added to a supersaturated solution

thirteen.ii: Saturated Solutions and Solubility

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Learning Objectives

• To understand the relationship between solubility and molecular construction.
• To demonstrate how the force of intramolecular bonding determines the solubility of a solute in a given solvent.

When a solute dissolves, its individual atoms, molecules, or ions collaborate with the solvent, become solvated, and are able to lengthened independently throughout the solution (Figure \(\PageIndex{1a}\)). This is not, still, a unidirectional process. If the molecule or ion happens to collide with the surface of a particle of the undissolved solute, it may adhere to the particle in a process chosen crystallization. Dissolution and crystallization go on as long as excess solid is present, resulting in a dynamic equilibrium analogous to the equilibrium that maintains the vapor pressure of a liquid. We can represent these opposing processes as follows:

\[ solute + solvent  \underset{crystallization}{\stackrel{dissolution}{\longrightleftharpoons}} solution \]

Although the terms atmospheric precipitation and crystallization are both used to describe the separation of solid solute from a solution, crystallization refers to the formation of a solid with a well-divers crystalline structure, whereas precipitation refers to the germination of any solid phase, often one with very small particles.

Figure \(\PageIndex{1}\): Dissolution and Atmospheric precipitation. (a) When a solid is added to a solvent in which it is soluble, solute particles exit the surface of the solid and become solvated by the solvent, initially forming an unsaturated solution. (b) When the maximum possible amount of solute has dissolved, the solution becomes saturated. If excess solute is nowadays, the rate at which solute particles leave the surface of the solid equals the rate at which they return to the surface of the solid. (c) A supersaturated solution can commonly exist formed from a saturated solution by filtering off the excess solute and lowering the temperature. (d) When a seed crystal of the solute is added to a supersaturated solution, solute particles leave the solution and course a crystalline precipitate.

Factors Affecting Solubility

The maximum amount of a solute that can dissolve in a solvent at a specified temperature and pressure is its solubility. Solubility is frequently expressed as the mass of solute per volume (m/L) or mass of solute per mass of solvent (g/g), or as the moles of solute per volume (mol/L). Fifty-fifty for very soluble substances, however, there is usually a limit to how much solute can deliquesce in a given quantity of solvent. In general, the solubility of a substance depends on not only the energetic factors we have discussed but also the temperature and, for gases, the force per unit area. At xx°C, for example, 177 k of NaI, 91.ii g of NaBr, 35.9 g of NaCl, and simply 4.i g of NaF deliquesce in 100 g of water. At 70°C, however, the solubilities increment to 295 one thousand of NaI, 119 k of NaBr, 37.5 yard of NaCl, and 4.8 g of NaF. As you learned in Affiliate 12, the lattice energies of the sodium halides increment from NaI to NaF. The fact that the solubilities subtract equally the lattice free energy increases suggests that the \(ΔH_2\) term in Effigy 13.1 dominates for this series of compounds.

A solution with the maximum possible amount of solute is saturated. If a solution contains less than the maximum corporeality of solute, information technology is unsaturated. When a solution is saturated and excess solute is present, the charge per unit of dissolution is exactly equal to the charge per unit of crystallization (Figure \(\PageIndex{1b}\)). Using the value just stated, a saturated aqueous solution of NaCl, for example, contains 35.9 yard of NaCl per 100 mL of water at xx°C. We can prepare a homogeneous saturated solution by adding backlog solute (in this case, greater than 35.9 g of NaCl) to the solvent (water), stirring until the maximum possible amount of solute has dissolved, and and so removing undissolved solute by filtration.

The solubility of most solids increases with increasing temperature.

Because the solubility of most solids increases with increasing temperature, a saturated solution that was prepared at a higher temperature usually contains more dissolved solute than information technology would comprise at a lower temperature. When the solution is cooled, it can therefore go supersaturated (Figure \(\PageIndex{1c}\)). Like a supercooled or superheated liquid, a supersaturated solution is unstable. Consequently, calculation a small particle of the solute, a seed crystal, volition normally cause the excess solute to speedily precipitate or crystallize, sometimes with spectacular results. The rate of crystallization in Equation \(\ref{13.2.1}\) is greater than the rate of dissolution, so crystals or a precipitate grade (Figure \(\PageIndex{1d}\)). In contrast, adding a seed crystal to a saturated solution reestablishes the dynamic equilibrium, and the net quantity of dissolved solute no longer changes.

Video \(\PageIndex{1}\): hot ice (sodium acetate) beautiful scientific discipline experiment. watered-down sodium acetate trihydrate. Needle crystal is truly wonderful structures

Because crystallization is the contrary of dissolution, a substance that requires an input of estrus to grade a solution (\(ΔH_{soln} > 0\)) releases that oestrus when it crystallizes from solution (\(ΔH_{crys} < 0\)). The corporeality of rut released is proportional to the corporeality of solute that exceeds its solubility. Ii substances that have a positive enthalpy of solution are sodium thiosulfate (\(Na_2S_2O_3\)) and sodium acetate (\(CH_3CO_2Na\)), both of which are used in commercial hot packs, modest numberless of supersaturated solutions used to warm easily (see Effigy 13.1.3).

Interactions in Liquid Solutions

The interactions that determine the solubility of a substance in a liquid depend largely on the chemical nature of the solute (such as whether it is ionic or molecular) rather than on its physical state (solid, liquid, or gas). We will first describe the general case of forming a solution of a molecular species in a liquid solvent and so describe the formation of a solution of an ionic compound.

Solutions of Molecular Substances in Liquids

The London dispersion forces, dipole–dipole interactions, and hydrogen bonds that concord molecules to other molecules are generally weak. Even so, energy is required to disrupt these interactions. As described in Department thirteen.1, unless some of that energy is recovered in the formation of new, favorable solute–solvent interactions, the increase in entropy on solution formation is non enough for a solution to form.

For solutions of gases in liquids, nosotros can safely ignore the free energy required to divide the solute molecules (\(ΔH_2 = 0\)) because the molecules are already separated. Thus we demand to consider only the energy required to separate the solvent molecules (\(ΔH_1\)) and the energy released by new solute–solvent interactions (\(ΔH_3\)). Nonpolar gases such as \(N_2\), \(O_2\), and \(Ar\) take no dipole moment and cannot engage in dipole–dipole interactions or hydrogen bonding. Consequently, the only way they can interact with a solvent is by ways of London dispersion forces, which may exist weaker than the solvent–solvent interactions in a polar solvent. It is non surprising, then, that nonpolar gases are most soluble in nonpolar solvents. In this case, \(ΔH_1\) and \(ΔH_3\) are both small and of similar magnitude. In contrast, for a solution of a nonpolar gas in a polar solvent, \(ΔH_1\) is far greater than \(ΔH_3\). As a consequence, nonpolar gases are less soluble in polar solvents than in nonpolar solvents. For example, the concentration of \(N_2\) in a saturated solution of \(N_2\) in water, a polar solvent, is only \(7.07 \times 10^{-4}\; 1000\) compared with \(4.5 \times 10^{-three}\; Yard\) for a saturated solution of \(N_2\) in benzene, a nonpolar solvent.

The solubilities of nonpolar gases in water generally increase as the molecular mass of the gas increases, as shown in Table \(\PageIndex{ane}\). This is precisely the tendency expected: as the gas molecules become larger, the forcefulness of the solvent–solute interactions due to London dispersion forces increases, budgeted the strength of the solvent–solvent interactions.

Table \(\PageIndex{1}\): Solubilities of Selected Gases in Water at 20°C and 1 atm Pressure

Gas	Solubility (Yard) × 10−4
He	3.90
Ne	4.65
Ar	15.2
Kr	27.9
Xe	50.2
H2	8.06
N2	7.07
CO	10.half dozen
O2	13.nine
Due north2O	281
CH4	15.5

Virtually all common organic liquids, whether polar or non, are miscible. The strengths of the intermolecular attractions are comparable; thus the enthalpy of solution is expected to be small-scale (\(ΔH_{soln} \approx 0\)), and the increase in entropy drives the formation of a solution. If the predominant intermolecular interactions in two liquids are very different from one another, however, they may be immiscible. For example, organic liquids such as benzene, hexane, \(CCl_4\), and \(CS_2\) (S=C=S) are nonpolar and have no ability to human activity equally hydrogen bond donors or acceptors with hydrogen-bonding solvents such as \(H_2O\), \(HF\), and \(NH_3\); hence they are immiscible in these solvents. When shaken with water, they class separate phases or layers separated by an interface (Effigy \(\PageIndex{2}\)), the region between the two layers.

Figure \(\PageIndex{2}\): Immiscible Liquids. Separatory funnel demonstrating the separation of oil and colored water. 10 mL organic solvent (hexanes) with 100 mL water (colored with blue dye) in a 125 mL separatory funnel, b) 40 mL each of organic solvent (ethyl acetate), and water (colored with blue dye). from Lisa Nichols (CC-By-SA-ND).

Only because two liquids are immiscible, however, does not mean that they are completely insoluble in each other. For example, 188 mg of benzene dissolves in 100 mL of h2o at 23.v°C. Calculation more than benzene results in the separation of an upper layer consisting of benzene with a pocket-sized amount of dissolved water (the solubility of h2o in benzene is just 178 mg/100 mL of benzene). The solubilities of elementary alcohols in water are given in Table \(\PageIndex{2}\).

Tabular array \(\PageIndex{ii}\): Solubilities of Straight-Chain Organic Alcohols in Water at twenty°C

Alcohol	Solubility (mol/100 g of \(H_2O\))
methanol	completely miscible
ethanol	completely miscible
n-propanol	completely miscible
n-butanol	0.eleven
n-pentanol	0.030
northward-hexanol	0.0058
n-heptanol	0.0008

But the three lightest alcohols (methanol, ethanol, and north-propanol) are completely miscible with water. Equally the molecular mass of the booze increases, so does the proportion of hydrocarbon in the molecule. Correspondingly, the importance of hydrogen bonding and dipole–dipole interactions in the pure alcohol decreases, while the importance of London dispersion forces increases, which leads to progressively fewer favorable electrostatic interactions with water. Organic liquids such as acetone, ethanol, and tetrahydrofuran are sufficiently polar to be completely miscible with water yet sufficiently nonpolar to be completely miscible with all organic solvents.

The same principles govern the solubilities of molecular solids in liquids. For instance, elemental sulfur is a solid consisting of cyclic \(S_8\) molecules that have no dipole moment. Because the \(S_8\) rings in solid sulfur are held to other rings by London dispersion forces, elemental sulfur is insoluble in h2o. Information technology is, however, soluble in nonpolar solvents that accept comparable London dispersion forces, such every bit \(CS_2\) (23 thou/100 mL). In contrast, glucose contains 5 –OH groups that tin grade hydrogen bonds. Consequently, glucose is very soluble in water (91 thou/120 mL of water) but essentially insoluble in nonpolar solvents such as benzene. The structure of one isomer of glucose is shown here.

Low-molecular-mass hydrocarbons with highly electronegative and polarizable halogen atoms, such as chloroform (\(CHCl_3\)) and methylene chloride (\(CH_2Cl_2\)), have both significant dipole moments and relatively potent London dispersion forces. These hydrocarbons are therefore powerful solvents for a wide range of polar and nonpolar compounds. Naphthalene, which is nonpolar, and phenol (\(C_6H_5OH\)), which is polar, are very soluble in chloroform. In dissimilarity, the solubility of ionic compounds is largely adamant not by the polarity of the solvent but rather past its dielectric constant, a measure out of its ability to separate ions in solution, as you will presently run into.

Example \(\PageIndex{1}\)

Place the most important solute–solvent interactions in each solution.

1. iodine in benzene solvent
2. aniline (\(\ce{C_6H_5NH_2}\)) in dichloromethane (\(\ce{CH_2Cl_2}\)) solvent

3. iodine in water solvent

Given: components of solutions

Asked for: predominant solute–solvent interactions

Strategy:

Identify all possible intermolecular interactions for both the solute and the solvent: London dispersion forces, dipole–dipole interactions, or hydrogen bonding. Make up one's mind which is likely to be the most of import gene in solution germination.

Solution

1. Benzene and \(\ce{I2}\) are both nonpolar molecules. The only possible bonny forces are London dispersion forces.
2. Aniline is a polar molecule with a dipole moment of i.6 D and has an \(\ce{–NH_2}\) group that can act as a hydrogen bond donor. Dichloromethane is also polar with a 1.5 D dipole moment, only it has no obvious hydrogen bail acceptor. Therefore, the near of import interactions between aniline and \(CH_2Cl_2\) are probable to be dipole-dipole interactions.
3. Water is a highly polar molecule that engages in extensive hydrogen bonding, whereas \(I_2\) is a nonpolar molecule that cannot act as a hydrogen bail donor or acceptor. The slight solubility of \(\ce{I_2}\) in water (\(1.3 \times 10^{-3}\; mol/L\) at 25°C) is due to London dispersion forces.

Practice \(\PageIndex{i}\)

Identify the almost important interactions in each solution:

1. ethylene glycol (\(HOCH_2CH_2OH\)) in acetone
2. acetonitrile (\(\ce{CH_3C≡Northward}\)) in acetone
3. n-hexane in benzene

Answer a

hydrogen bonding

Respond b

London interactions

Answer c

London dispersion forces

Hydrophilic and Hydrophobic Solutes

A solute tin exist classified as hydrophilic (literally, "water loving"), meaning that it has an electrostatic allure to water, or hydrophobic ("h2o fearing"), meaning that it repels water. A hydrophilic substance is polar and oft contains O–H or N–H groups that can form hydrogen bonds to water. For example, glucose with its five O–H groups is hydrophilic. In contrast, a hydrophobic substance may be polar but usually contains C–H bonds that exercise non interact favorably with water, every bit is the case with naphthalene and northward-octane. Hydrophilic substances tend to be very soluble in water and other strongly polar solvents, whereas hydrophobic substances are substantially insoluble in water and soluble in nonpolar solvents such equally benzene and cyclohexane.

The deviation betwixt hydrophilic and hydrophobic substances has substantial consequences in biological systems. For case, vitamins can be classified as either fat soluble or water soluble. Fat-soluble vitamins, such equally vitamin A, are generally nonpolar, hydrophobic molecules. As a outcome, they tend to be absorbed into fatty tissues and stored there. In contrast, h2o-soluble vitamins, such as vitamin C, are polar, hydrophilic molecules that circulate in the blood and intracellular fluids, which are primarily aqueous. H2o-soluble vitamins are therefore excreted much more speedily from the body and must exist replenished in our daily diet. A comparison of the chemical structures of vitamin A and vitamin C speedily reveals why one is hydrophobic and the other hydrophilic.

Because water-soluble vitamins are rapidly excreted, the risk of consuming them in excess is relatively small. Eating a dozen oranges a 24-hour interval is likely to make y'all tired of oranges long earlier y'all suffer whatsoever ill effects due to their high vitamin C content. In dissimilarity, fatty-soluble vitamins constitute a significant health hazard when consumed in large amounts. For example, the livers of polar bears and other large animals that live in common cold climates comprise large amounts of vitamin A, which take occasionally proven fatal to humans who have eaten them.

Example \(\PageIndex{2}\)

The post-obit substances are essential components of the man diet:

Using what y'all know of hydrophilic and hydrophobic solutes, allocate each as water soluble or fat soluble and predict which are likely to be required in the diet on a daily basis.

1. arginine
2. pantothenic acid
3. oleic acrid

Given: chemic structures

Asked for: classification every bit h2o soluble or fatty soluble; dietary requirement

Strategy:

Based on the construction of each compound, decide whether it is hydrophilic or hydrophobic. If information technology is hydrophilic, it is likely to be required on a daily basis.

Solution:

1. Arginine is a highly polar molecule with two positively charged groups and 1 negatively charged grouping, all of which can form hydrogen bonds with water. As a result, it is hydrophilic and required in our daily diet.
2. Although pantothenic acid contains a hydrophobic hydrocarbon portion, it also contains several polar functional groups (\(\ce{–OH}\) and \(\ce{–CO_2H}\)) that should interact strongly with water. It is therefore probable to be h2o soluble and required in the diet. (In fact, pantothenic acrid is nearly ever a component of multiple-vitamin tablets.)
3. Oleic acid is a hydrophobic molecule with a unmarried polar group at one end. Information technology should be fat soluble and non required daily.

Exercise \(\PageIndex{2}\)

These compounds are consumed by humans: caffeine, acetaminophen, and vitamin D. Identify each equally primarily hydrophilic (water soluble) or hydrophobic (fat soluble), and predict whether each is probable to be excreted from the body chop-chop or slowly.

Answer

Caffeine and acetaminophen are water soluble and rapidly excreted, whereas vitamin D is fat soluble and slowly excreted

Solid Solutions

Solutions are not limited to gases and liquids; solid solutions also exist. For example, amalgams, which are ordinarily solids, are solutions of metals in liquid mercury. Because most metals are soluble in mercury, amalgams are used in gold mining, dentistry, and many other applications. A major difficulty when mining gilt is separating very small particles of pure gold from tons of crushed stone. I way to accomplish this is to agitate a break of the crushed rock with liquid mercury, which dissolves the golden (as well equally any metal silverish that might be present). The very dense liquid gold–mercury amalgam is then isolated and the mercury distilled away.

An alloy is a solid or liquid solution that consists of i or more elements in a metallic matrix. A solid alloy has a unmarried homogeneous phase in which the crystal structure of the solvent remains unchanged past the presence of the solute. Thus the microstructure of the alloy is uniform throughout the sample. Examples are substitutional and interstitial alloys such equally brass or solder. Liquid alloys include sodium/potassium and gold/mercury. In contrast, a fractional alloy solution has two or more phases that tin can be homogeneous in the distribution of the components, merely the microstructures of the 2 phases are non the aforementioned. As a liquid solution of lead and can is cooled, for instance, different crystalline phases form at different cooling temperatures. Alloys usually have properties that differ from those of the component elements.

Network solids such every bit diamond, graphite, and \(\ce{SiO_2}\) are insoluble in all solvents with which they practise non react chemically. The covalent bonds that hold the network or lattice together are simply too strong to be broken under normal conditions. They are certainly much stronger than whatever believable combination of intermolecular interactions that might occur in solution. Most metals are insoluble in well-nigh all solvents for the same reason: the delocalized metal bonding is much stronger than whatsoever favorable metallic atom–solvent interactions. Many metals react with solutions such as aqueous acids or bases to produce a solution. Yet, as we saw in Department 13.1, in these instances the metal undergoes a chemical transformation that cannot be reversed by simply removing the solvent.

Solids with very potent intermolecular bonding tend to be insoluble.

Solubilities of Ionic Substances in Liquids

Previously, you were introduced to guidelines for predicting the solubility of ionic compounds in water. Ionic substances are by and large well-nigh soluble in polar solvents; the higher the lattice energy, the more polar the solvent must be to overcome the lattice free energy and dissolve the substance. Considering of its high polarity, water is the nigh mutual solvent for ionic compounds. Many ionic compounds are soluble in other polar solvents, however, such as liquid ammonia, liquid hydrogen fluoride, and methanol. Because all these solvents consist of molecules that take relatively large dipole moments, they can interact favorably with the dissolved ions.

Figure \(\PageIndex{3}\): Ion–Dipole Interactions in the Solvation of \(\ce{Li^{+}}\) Ions past Acetone, a Polar Solvent

The ion–dipole interactions between \(\ce{Li^{+}}\) ions and acetone molecules in a solution of LiCl in acetone are shown in Figure \(\PageIndex{3}\). The energetically favorable \(\ce{Li^{+}}\)–acetone interactions make \(ΔH_3\) sufficiently negative to overcome the positive \(ΔH_1\) and \(ΔH_2\). Because the dipole moment of acetone (2.88 D), and thus its polarity, is actually larger than that of water (one.85 D), one might even expect that LiCl would be more soluble in acetone than in water. In fact, the contrary is true: 83 g of LiCl dissolve in 100 mL of water at xx°C, just only about iv.one grand of \(\ce{LiCl}\) deliquesce in 100 mL of acetone. This apparent contradiction arises from the fact that the dipole moment is a property of a single molecule in the gas stage. A more useful measure of the ability of a solvent to dissolve ionic compounds is its dielectric abiding (ε), which is the power of a bulk substance to decrease the electrostatic forces between two charged particles. By definition, the dielectric constant of a vacuum is 1. In essence, a solvent with a high dielectric constant causes the charged particles to comport as if they have been moved further apart. At 25°C, the dielectric constant of water is 80.1, 1 of the highest known, and that of acetone is only 21.0. Hence water is meliorate able to decrease the electrostatic allure between \(\ce{Li^{+}}\) and \(\ce{Cl^{-}}\) ions, so \(\ce{LiCl}\) is more soluble in water than in acetone. This beliefs is in contrast to that of molecular substances, for which polarity is the dominant factor governing solubility.

A solvent's dielectric constant is the most useful measure of its ability to dissolve ionic compounds. A solvent's polarity is the ascendant factor in dissolving molecular substances.

Figure \(\PageIndex{four}\): Crown Ethers and Cryptands. (a) The potassium complex of the crown ether 18-crown-vi. Notation how the cation is nestled within the central crenel of the molecule and interacts with lone pairs of electrons on the oxygen atoms. (b) The potassium circuitous of 2,2,2-cryptand, showing how the cation is almost hidden by the cryptand. Cryptands solvate cations via lone pairs of electrons on both oxygen and nitrogen atoms.

It is also possible to dissolve ionic compounds in organic solvents using crown ethers, cyclic compounds with the general formula \((OCH_2CH_2)_n\). Crown ethers are named using both the total number of atoms in the band and the number of oxygen atoms. Thus 18-crown-6 is an 18-membered ring with six oxygen atoms (Effigy \(\PageIndex{1a}\)). The cavity in the eye of the crown ether molecule is lined with oxygen atoms and is big enough to be occupied by a cation, such every bit \(K^+\). The cation is stabilized by interacting with lone pairs of electrons on the surrounding oxygen atoms. Thus crown ethers solvate cations inside a hydrophilic crenel, whereas the outer shell, consisting of C–H bonds, is hydrophobic. Crown ethers are useful for dissolving ionic substances such as \(KMnO_4\) in organic solvents such as isopropanol \([(CH_3)_2CHOH]\) (Figure \(\PageIndex{5}\)). The availability of crown ethers with cavities of dissimilar sizes allows specific cations to exist solvated with a high degree of selectivity.

Figure \(\PageIndex{5}\): Potassium permanganate is insoluble in benzene. All the same, upon addition of crown ether soluble colored complex is formed. (left) Unremarkably \(KMnO_4\), which is intensely purple, is completely insoluble in isopropanol, which has a relatively low dielectric abiding. (correct) In the presence of a small corporeality of eighteen-crown-6, \(KMnO_4\) dissolves in benzene, as shown past the cherry-regal colour acquired by permanganate ions in solution. Total video tin be constitute here: www.youtube.com/lookout?v=JsowvWBvz74.

Cryptands (from the Greek kryptós, meaning "hidden") are compounds that tin can completely surround a cation with lone pairs of electrons on oxygen and nitrogen atoms (Figure \(\PageIndex{4b}\)). The number in the proper noun of the cryptand is the number of oxygen atoms in each strand of the molecule. Like crown ethers, cryptands tin can exist used to ready solutions of ionic compounds in solvents that are otherwise too nonpolar to dissolve them.

Summary

The solubility of a substance is the maximum corporeality of a solute that can dissolve in a given quantity of solvent; information technology depends on the chemical nature of both the solute and the solvent and on the temperature and force per unit area. When a solution contains the maximum amount of solute that can deliquesce nether a given set of weather condition, it is a saturated solution. Otherwise, information technology is unsaturated. Supersaturated solutions, which contain more dissolved solute than immune under particular weather condition, are non stable; the improver of a seed crystal, a small particle of solute, will usually cause the backlog solute to crystallize. A system in which crystallization and dissolution occur at the aforementioned rate is in dynamic equilibrium. The solubility of a substance in a liquid is determined by intermolecular interactions, which also determine whether ii liquids are miscible. Solutes can be classified every bit hydrophilic (water loving) or hydrophobic (water fearing). Vitamins with hydrophilic structures are water soluble, whereas those with hydrophobic structures are fat soluble. Many metals deliquesce in liquid mercury to form amalgams. Covalent network solids and well-nigh metals are insoluble in near all solvents. The solubility of ionic compounds is largely determined past the dielectric constant (ε) of the solvent, a measure of its ability to decrease the electrostatic forces betwixt charged particles. Solutions of many ionic compounds in organic solvents can be dissolved using crown ethers, cyclic polyethers large plenty to accommodate a metal ion in the center, or cryptands, compounds that completely environment a cation.

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Source: https://chem.libretexts.org/Bookshelves/General_Chemistry/Map:_Chemistry_-_The_Central_Science_%28Brown_et_al.%29/13:_Properties_of_Solutions/13.2:_Saturated_Solutions_and_Solubility

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