SECTION 12.2 The Solution Process Teacher Notes and Answers SECTION 2 The Solution Process 1.Grind the sugar cube into a powder, shake the container, or heat the container. 2.In both equilibriums, the rates at which two processes occur are equal. In one, vaporization and condensation are balanced. In the other, dissolution and crystallization are balanced. 3.unsaturated, saturated, supersaturated 4.increases 5.the force between polar molecules and ions in the crystal 6.polar; nonpolar 7.The rate of dissolution decreases and the amount of dissolved gas decreases. 8.The solubility will increase. 9.The graph shows a reaction with a negative enthalpy of solution because the net energy change is negative. Energy is released after the solution forms. 10.The dissolution of NaCl in water will not cause the temperature of the water to increase very much. region of the water molecules, and vice versa. Carbon tetrachloride is nonpolar and will not form a strong enough attraction to water molecules to dissolve. 5.The toluene would work better because oil and toluene are nonpolar, and will dissolve each other. 6.It will not keep carbon dioxide from escaping the solution. Henry’s law states that it is the partial pressure of the same gas above the solution that keeps that gas in solution. Increased pressure of only helium will have no effect on carbon dioxide’s solubility. Review 1.An unsaturated solution does not contain the maximum amount of solute, while a saturated solution does contain the maximum amount of solute. 2.The particles in hot tea move faster than in iced tea. Therefore, there are more collisions between the tea and sugar molecules at the surface of the sugar grains, and sugar molecules leave the surface of the grains faster in hot tea than in cold tea. 3.Continually add sugar to hot water until undissolved grains remain in the bottom of the container. Filter the hot solution to remove any seed crystals. Set the saturated solution aside until it cools to room temperature. Once it cools, it will be supersaturated. 4.Ethanol and water are each polar molecules. The negatively charged region of the ethanol molecules is attracted to the positively charged Solutions 1 SECTION 12.2 The Solution Process In Section 1 you learned about the nature of solutions. Now you will learn about the process of dissolution—the dissolving of a solute in a solvent to make a solution. Several factors affect dissolving. A crystalline solid dissolves as its particles leave the surface of the crystal and mix with solvent molecules. The molecules or ions of the solid are attracted to the solvent. The rate at which a substance dissolves depends on many factors. Increasing the Surface Area of the Solute One way to speed up dissolution is to increase the surface area of the solute. Crushing larger crystals into smaller ones increases the amount of crystal surfaces in contact with the liquid. Dividing something into smaller parts will increase its exposed surface area, and make it dissolve faster. Agitating a Solution As a solid is dissolving, there are more dissolved particles close to the undissolved crystal than there are away from the crystal. Stirring or shaking a solution will help spread dissolved particles throughout the solvent. This makes it easier for new particles to dissolve into the solvent. Heating a Solvent You may have found it more difficult to mix sugar into iced tea than hot tea. The more energy a solvent’s particles have, the more they will collide with the dissolving solid, and the more energy they can transfer to the solid. So, a solid will dissolve more quickly in a warm liquid than a cool liquid. Key Terms solution equilibrium saturated solution unsaturated solution supersaturated solution solubility hydration immiscible miscible Henry’s law effervescence enthalpy of solution solvated large surface area exposed to solvent—faster rate CuSO4 •5H2O powdered Increased surface area Small surface area exposed to solvent—slow rate Solvent particle Solute READING CHECK 1. Name three ways to make sugar dissolve in water faster. CuSO4 •5H2O large crystals The surface area of a powdered solute is larger. Therefore, the powder will dissolve faster. 2 CHAPTER 12 Solubility is a measure of how well one substance dissolves another. When solid sugar is added to water, sugar molecules leave the solid surface and mix with the water molecules. These molecules move about the water and sugar molecules at random, as do all particles in a liquid. However, some of these dissolved molecules collide with the crystal and transfer energy to the crystal. They no longer have enough energy to pull away from the crystal again. As a result, these molecules recrystallize, rejoining the crystal lattice. When the sugar is first added, there is no solute in the water. Therefore, there is also no recrystallization of solute. Over time, the concentration of solute in the water increases, and the rate of recrystallization increases. Eventually, if there is enough sugar, the rate of dissolution and the rate of recrystallization are equal. At this point, the solution is in equilibrium. Solution equilibrium is the physical state in which the opposing processes of dissolution and crystallization of a solute occur at equal rates. Recrystallizing Dissolving There are three types of solutions. • A saturated solution contains the maximum amount of dissolved solute that is possible under the current conditions. The dissolution of any new solute immediately results in crystallization to keep the total amount of solute constant. • An unsaturated solution contains less than the maximum amount of dissolved solute possible. • A supersaturated solution contains more than the maximum amount of dissolved solute that is normally possible. This solution is in a state of equilibrium that is unstable. Critical Thinking 2. Synthesize How does the equilibrium between a solute and a solvent compare with the equilibrium between a liquid and its vapor? Solutions 3 Mass in grams of NaCH3COO dissolved in 100 g water at 20˚C Mass of Solute Added Vs. Mass of Solute Dissolved 60 The graph shows the maximum mass of sodium acetate, NaCH3 COO, that can be dissolved in water. A. Unsaturated If a solution is unsaturated, more solute can dissolve. No undissolved solute remains. 40 B. Saturated If the amount of solute added exceeds the solubility, some solute remains undissolved. 20 Solubility = 46.4 g/100 g 0 0 20 40 60 80 100 Mass in grams of NaCH3COO added to 100 g water at 20˚C Saturated Versus Unsaturated Solutions One way to tell the difference between a saturated solution and an unsaturated solution is to add more of the dissolved substance. If the substance collects at the bottom of the solution and does not dissolve, the solution is saturated. In an unsaturated solution, all of the available solute is dissolved. The maximum amount that can be dissolved is a ratio of the solute amount to solvent amount. If more solvent is added to a saturated solution, the solution becomes unsaturated. Supersaturated Solutions When a saturated solution is cooled, usually some of the solute will come out of the solution. This is because the amount that a solvent can dissolve depends on its temperature. But sometimes, if the solution is cooled without being disturbed, it can become a supersaturated solution. Once a supersaturated solution is disturbed, and crystals start to form, the recrystalization process will continue until the solution is saturated without being supersaturated. Another way to start recrystallization is by introducing a “seed” crystal. This seed will rapidly grow as molecules of solute begin to come out of solution. READING CHECK 3. 4 For a given substance, order an unsaturated, saturated, and supersaturated solution from smallest amount of solute to largest. CHAPTER 12 CONNECT One example of a supersaturated solution in nature is honey. If honey is unprocessed or left undisturbed for a long period of time, the sugar in the honey will crystallize. Solubility of Solutes as a Function of Temperature (in g solute/100. g H2O) Temperature (°C) Substance AgNO3 Ba(OH)2 C12 H22O11 Ca(OH)2 0 20 40 60 80 100 122 216 311 440 585 733 101.4 — 362 487 1.67 179 0.189 3.89 204 0.173 Ce2 (SO4 )3 20.8 10.1 KCl 28.0 34.2 KI 128 144 8.22 238 0.141 — 40.1 162 KNO3 13.9 31.6 61.3 LiCl 69.2 83.5 89.8 Li2 CO3 1.54 1.33 NaCl 35.7 35.9 NaNO3 73 87.6 1.17 36.4 102 20.94 287 0.121 — 3.87 — 45.8 0.07 — 51.3 56.3 176 192 206 106 167 245 112 128 98.4 1.01 0.85 37.1 38.0 122 CO2 (gas at SP) 0.335 0.169 0.0973 0.058 O2(gas at SP) 0.00694 0.00537 0.00308 0.00227 Solubility Values The solubility of a substance is the amount of that substance required to form a saturated solution with a certain amount of solvent at a given temperature. For example, at 20°C the solubility of sodium acetate is 46.4 g per 100 g of water. Solubility is usually given in grams of solute per 100 grams of solvent or grams of solute per 100 milliliters of solvent. 39.2 148 180 — — 0.00138 0.72 0.00 TIP In calculations involving solubility, it is important to distinguish grams of solvent from grams of solute. Otherwise, the unit “grams” will be canceled incorrectly and the result will be impossible to interpret. Like Dissolves Like Whether a substance is soluble in another substance is often hard to predict. Lithium chloride is highly soluble in water, but gasoline is not. Gasoline is highly soluble in benzene, C6 H6, but lithium chloride is not. A rough way of determining whether a substance will dissolve into another substance is the phrase “like dissolves like.” For example, polar substances tend to dissolve in polar solvents, but not in nonpolar solvents. READING CHECK 4. As temperature increases, the solubility of a substance . Solutions 5 Dissolving Ionic Compounds in Aqueous Solution The polarity of water molecules plays an important role in the formation of solutions of ionic compounds in water. The positive and negative ends of a water molecule are attracted to different parts of a crystal. These attractions are strong enough to pull the Water molecule molecules or ions out of the crystal and into solution. Hydration occurs when the attraction of the charged ends of water molecules dissolve an ionic compound or a substance whose molecules are polar. The diagram at the right shows how the process of hydration works for a lithium chloride crystal. The positive end of the water molecule, where the hydrogen atoms are, is attracted to a chloride anion. The negative end, the end away from the hydrogen atoms, is attracted to a lithium cation. When the attraction is strong enough to pull the ion out of the crystal, the ion eventually becomes surrounded by water molecules. The lithium cations and chloride ions that are in solution are said to be hydrated. When some ionic compounds recrystallize out of solution, the new crystals include water molecules. These compounds are called hydrates. The formula unit for the crystal structure contains a specific number of water molecules in a regular structure. For example, the copper(II) sulfate crystal shown at the right has the formula CuSO4 ∙5H2 O. The water can be removed from the crystal using heat, leaving the anhydrous, or water-free, salt. When a hydrate dissolves in water, it breaks up into ions, and the water molecules become part of the solvent. Nonpolar Solvents Ionic compounds are not generally soluble in nonpolar solvents, such as carbon tetrachloride, CCl4, or toluene, C6 H5CH3 . The nonpolar solvent molecules do not attract the ions of the crystal strongly enough to overcome the forces holding the crystals together. READING CHECK 5. 6 What force of attraction is responsible for the dissolution of an ionic crystal in water? CHAPTER 12 Hydrated Li+ LiCl crystal Hydrated Cl- When LiCl dissolves, the ions are hydrated. The attraction between ions and water molecules is strong enough that each ion in solution is surrounded by water molecules. – SO42 H2O H2O Cu 2+ H 2O H2O H2O – SO42 Hydrated copper(II) sulfate has the formula CuSO4 ∙5H2 O. Heating releases the water and the anhydrous crystal CuSO4 forms. Liquid Solutes and Solvents When you get a bottle of salad dressing out of the refrigerator, you may notice that the various liquids in the bottle have formed distinct layers. The oil and water in the bottle are immiscible, which means that they cannot dissolve in one another. The hydrogen bonding between water molecules squeezes out the oil molecules. The water and oil form two layers, with the denser material forming the bottom layer. However, water and ethanol are miscible, which means they can dissolve in one another. Ethanol contains an —OH group on the end, which is a somewhat polar bond. H H H−C−C−OH H H This —OH group can form hydrogen bonds with water molecules. The molecular forces in the mixture of water and ethanol are so similar to those of a pure liquid that the liquids mix freely with one another. Another example of miscible liquids is a mixture of fat, oil, or grease with toluene or gasoline. All of these substances have nonpolar molecules. The only intermolecular forces are the weak London dispersion forces. These forces do not prevent the liquid molecules from moving freely in solution. READING CHECK 6. A liquid with polar molecules and a liquid with molecules are generally miscible. A liquid with polar molecules and a liquid with molecules are generally immiscible. Hydrogen bond δ- δ- δ+ δ+ δ- δ- δ+ δ+ Toluene Water molecule, H2O Water (a) (b) Ethanol molecule, C2H5OH (a) Toluene and water are immiscible. (b) Ethanol and water are miscible. Hydrogen bonding between water and ethanol molecules enhances the ability of the ethanol to dissolve in water. Solutions 7 Effects of Pressure on Solubility Pressure does not generally affect the solubility of liquids or solids in liquid solvents. However, an increase in the pressure of a gas can increase the solubility of a gas in a liquid. A gas and a solvent are normally in a state of equilibrium in which gas molecules enter or leave the liquid phase at the same rate. gas + solvent ⇆ solution If the pressure on the gas is increased, more gas molecules will collide with the liquid solvent and the rate of dissolution increases. Eventually, a new equilibrium is reached with a higher solubility. SO, an increase in pressure will increase solubility and result in more of the gas entering the liquid phase. Henry’s Law Henry’s law states that the solubility of a gas in a liquid is directly proportional to the partial pressure of that gas on the surface of the liquid. The law is named after English chemist William Henry, and applies to liquid gas solutions at constant temperature. In the chapter “Gases,” you learned that the same amount of gas exerts the same amount of pressure whether it is in a mixture or occupies a space alone. For this reason, the amount of the gas that will dissolve in a liquid also does not depend on the other gases in a mixture. A manufacturer of carbonated beverages forces CO2 into a bottle with flavored water. As stated in Henry’s law, the carbon dioxide will dissolve in the water. When the bottle is opened, the gas rapidly escapes from the liquid. This causes the liquid to bubble and fizz, and is called effervescence. READING CHECK 7. 8 When happens when the partial pressure of a gas on a liquid decreases? CHAPTER 12 (a) CONNECT A scuba diver must be aware of Henry’s law. Deep under water, as pressure increases, the amount of air that can dissolve in blood increases. The extra nitrogen can affect the nervous system of the diver and lead to disorientation. Therefore, scuba divers often use a mixture of air with less nitrogen than normal. In addition, when a scuba diver returns to the surface, the amount of nitrogen that can dissolve in the blood decreases. If the diver ascends too quickly, the nitrogen gas will form bubbles in tissues and blood vessels. CO2 under high pressure above solvent Soluble CO2 molecules (b) Air at atmospheric pressure Soluble CO2 molecules CO2 gas bubble (a) The unopened bottle has no gas bubbles because of the pressure of the CO2 inside the bottle. (b) When the bottle is opened, the pressure is reduced and some of the dissolved CO2 enters the gas phase through effervescence. Effects of Temperature on Solubility As shown in the graph below on the left, an increase in temperature usually decreases the solubility of a gas in a liquid. At higher temperatures, the average kinetic energy of the solvent and the solute particles increases. The attractive forces between the solvent and solute decrease, and more molecules are able to escape from the surface of the liquid. Usually an increase in temperature increases the solubility of a solid. However, the effect can be more pronounced for some substances than for other substances. For example, look at the graphs of potassium nitrate, KNO3 , and sodium chloride, NaCl. The solubility of potassium nitrate increases from 14 g per 100 g of water at 0°C to 167 g per 100 g of water at 80°C. However, the solubility of sodium chloride barely changes under the same temperature increase. Its solubility increases from 36 g per 100 g of water to 38 g per 100 g of water. In some cases, such as that of lithium sulfate, Li2 SO4 , the solubility decreases with increasing temperature. READING CHECK 8. What do you expect to happen to the solubility of nitrogen gas in water if the temperature decreases? Solubility Vs. Temperature for Some Solid Solutes Solubility Vs. Temperature Data for Some Gases Solubility (mL gas/mL of H2O) 5 4 H2S volume 3 2 CO2 volume 1 0 O2 volume 0 10 20 30 40 50 60 70 80 90 100 Temperature (˚C) The solubility of gases in water decreases with increasing temperature. The solubility of a solid in water generally increases with temperature, although the effect is more pronounced in some compounds than in others. Solubility in grams per 100 g of water 260 KNO3 240 220 200 NaNO3 180 160 RbCl LiCl 140 120 100 80 NH4Cl 60 KCl NaCl Li2SO4 40 20 0 0 10 20 30 40 50 60 70 80 90 100 Temperature (˚C) Solutions 9 A change in energy accompanies solution formation. The formation of a solution is accompanied by an energy change. If you dissolve some potassium iodide, KI, in water, you will find that the outside of the container feels cold to the touch. However, if you dissolve some sodium hydroxide, NaOH, the outside of the container feels hot. The formation of a solid-liquid solution can absorb energy as heat or release energy as heat. The net amount of energy that is absorbed as heat by the solution when a specific amount of solute enters solution is called the enthalpy of solution. The formation of a solution can be pictured as a result of three steps, which are summarized in the graph below. Each step involves the absorption or release of energy. 1. Solute particles are separated from the solid. Energy is required to break the bonds between the particles and the rest of the solid. 2. The solute particles push apart the solvent particles. This requires energy to act against the attractive forces between the solvent particles. 3. The solvent particles are attracted to and surround the solute particles. Instead of breaking apart or pushing against attractive forces, this involves the forming of new intermolecular bonds. Energy is released and stored as potential energy in the bonds. Critical Thinking 9. Analyze Does the graph below show a reaction with a positive enthalpy of solution or a negative enthalpy of solution? Explain. Components Enthalpy (H) Step 2 Solute Solvent Step 3 Solvent particles being moved apart to allow solute particles to enter liquid. Energy absorbed Step 1 Solute particles becoming separated from solid. Energy absorbed The graph shows the changes in enthalpy that occur during the formation of a solution. 10 CHAPTER 12 Solvent particles being attracted to and solvating solute particles. Energy released ∆H solution Exothermic Enthalpies of Solution (kJ/mol solute at 25°C) Substance AgNO3(s) CH3COOH(l) Enthalpy of solution +22.59 –1.51 Substance Enthalpy of solution KOH(s) MgSO4 (s) –57.61 +15.9 HCl(g) –74.84 NaCl(s) HI(g) –81.67 naNO3(s) +20.50 KCl(s) +17.22 naOH(s) –44.51 KClO3(s) +41.38 nh3(g) –30.50 Kl(s) +20.33 nh4Cl(s) +14.78 KNO3(s) +34.89 nh4NO3 (s) +25.69 +3.88 The end result of the dissolving process is the surrounding of solute particles by solvent particles. A solute particle that is surrounded by solvent particles is said to be solvated. Two of the steps of dissolving a substance involve the absorption of energy. One step involves the release of energy. If more energy is absorbed than released, the reaction has a positive enthalpy of solution. As a result, a container in which the process has occurred will feel colder than it did before. As the table shows, potassium chloride is an example of a substance with a positive enthalpy of solution. The graph on the previous page represents a process in which more energy is released than absorbed. This substance has a negative enthalpy of solution. Such a substance will make its container warmer as it dissolves. Potassium hydroxide, KOH, makes its container feel hot as it dissolves, and as the table shows, potassium hydroxide has a negative enthalpy of solution. Gases generally have negative enthalpies of solution. This is because there are few intermolecular forces within a gas. Little energy has to be absorbed to separate gas molecules from each other. READING CHECK 10. NaCl has a low enthalpy of solution. What does this suggest about the dissolution of NaCl in water? Solutions 11 SECTION 12.2 REVIEW VOCABULARY 1. What is the difference between a saturated and an unsaturated solution? REVIEW 2. Why would you expect sugar to dissolve faster in hot tea than in iced tea? 3. Explain how you prepare a saturated solution of sugar in water. Then explain how you would turn this solution into a supersaturated solution. 4. Explain why ethanol will dissolve in water and carbon tetrachloride will not. Critical Thinking 5. PREDICTING OUTCOMES You get a small amount of lubricating oil on your clothing. Which would work better to remove the oil, water or toluene? Explain your answer. 6. INTERPRETING CONCEPTS A commercial “fizz saver” pumps helium under pressure into a soda bottle to keep gas from escaping. Will this keep CO2in the drink? Explain. 12 CHAPTER 12
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